The DOI matches its Crossref record; 798 of the 802 references it cites were found in a registry or an index.
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Open accessAbstract
We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed matter phenomena. We show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics. After a short presentation of the models and the methods of treatment of such systems, we discuss in detail, which challenges of condensed matter physics can be addressed with (i) disordered ultracold lattice gases, (ii) frustrated ultracold gases, (iii) spinor lattice gases, (iv) lattice gases in “artificial” magnetic fields, and, last but not least, (v) quantum information processing in lattice gases. For completeness, also some recent progress related to the above topics with trapped cold gases will be discussed. Motto: There are more things in heaven and earth, Horatio, Than are dreamt of in your philosophy Citation1
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“This model is well studied (see for instance [179]): for low fields, the ground state is a ferromagnet, while for large fields it is a paramagnet.”
From Can one trust quantum simulators? (2012) · cites this paper as [179]
Citations
Cites
Introduction to Solid State Physics
KITTEL, C., & Fan, H. (1957) · American Journal of Physics · doi:10.1119/1.1934457 · Cited by 22,539
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
Introduction to Solid State Physics
KITTEL, C., & Dexter, D. L. (1953) · American Journal of Physics · doi:10.1119/1.1933590 · Cited by 13,623
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Savitzky-Golay Smoothing Filters
Press, W. H., & Teukolsky, S. A. (1990) · Computers in Physics · doi:10.1063/1.4822961 · Cited by 11,851
Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777
Ordering, metastability and phase transitions in two-dimensional systems
Kosterlitz, J. M., & Thouless, D. J. (1973) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/6/7/010 · Cited by 9,639
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Mahan, G. D. (1990) · Springer eBooks · doi:10.1007/978-1-4613-1469-1 · Cited by 8,358 · cited 1×
“In the LuttingerTomonaga approximation [292] one replaces now these and similar commutators by their averaged values over the ideal Fermi sea.”
Background
Research works printed but not linked: 73
- William Shakespeare . 2003 . Hamlet, Prince of Denmark , Cambridge : Cambridge University Press .
- Walls , DF and Milburn , GJ . 2006 . Quantum Optics , Berlin : Springer .
- Bennett CH and Brassard G . 1984 . IEEE Int. Conf. Comp. Sys. Sig. Proc. 175
- Shor , PW . 1994 . Proc. 35th Ann. Symp. Found. Comp. Sci. , Los Alamitos : IEEE Press .
- Fallani L Lye JE Guarrera V Fort C and Inguscio M . in press) cond-mat/0603655 (2006 · arXiv
- Lugan , P , Clément , D , Bouyer , P , Aspect , A , Lewenstein , M and Sanchez-Palencia , L . Phys. Rev. Lett , (in press)
- Lhuillier C . cond-mat/0502464 · arXiv
- Stamper-Kurn D and Ketterle W . 2000 . cond-mat/0005001 Proceedings of Les Houches 1999 Summer School Session LXXII · arXiv
- Zawitkowski Ł Eckert K Laskinen M Sanpera A and Lewenstein M . 2006 . cond-mat/0603273 · arXiv
- Dagnino D Barbern N Lewenstein M Osterloh K and Riera A . 2006 . cond-mat/0610512 · arXiv
- Menotti C Trefzger C and Lewenstein M . 2006 . cond-mat/0612498 · arXiv
- Ashcroft , NW and Mermin , ND . 1976 . Solid State Physics , Rinehart and Winston, Philadelphia : Holt .
- Larson J Damski B Morigi G and Lewenstein M . cond-mat/0608335 · arXiv
- Lewenstein M Kubasiak A Larson J Menotti C Morigi G Osterloh K and Sanpera A . 2006 . Proceedings of ICAP-2006 cond-mat/0609587 · arXiv
- Della Pietra L Aigner S vom Hagen Ch. Groth S Bar-Joseph I Lezec HJ and Schmiedmayer J . 2006 . cond-mat/0604619 · arXiv
- 10.1134/S1054660X06040268 · DOI
- Cazalilla , MA and Ho , AF . 2003 . Phys. Rev. A , 91 : 150403
- 10.1103/PhysRevLett.90.100401 · DOI
- 10.1103/PhysRevLett.96.180402 · DOI
- 10.1103/PhysRevLett.96.180403 · DOI
- Pollet L Kollath C Schollwoeck U and Troyer M . 2006 . cond-mat/0609604 · arXiv
- Press , WH , Flannery , BP , Teukolsky , SA and Vetterling , WT . 1987 . Numerical Recipes , Cambridge : Cambridge University Press .
- 2000 . Phys. Rev. B , 62 : 1224
- Campbell GK Mun J Boyd M Medley P Leanhardt AE Marcassa L Pritchard DE and Ketterle W . 2006 . cond-mat/0606642 · arXiv
- Vieweg und Sohn , F . 1931 . Group Theory and its Application to the Quantum Mechanics of Atomic Spectra, expanded and improved ed. (Braunschweig); English translation:
- Drummond PD Deuar P Corney JF and Kheruntsyan KV . 2003 . cond-mat/0309537 published in Proceedings of the 16th International Conference on Laser Spectroscopy (ICOLS) Palm Cove Australia · arXiv
- Drummond , PD , Corney , JF , Liu , X-J and Hu , H . 2006 . in print in J. Mod. Opt ,
- Carusotto , I and Castin , Y . 2003 . Laser Phys , 13 : 509
- Kreutzmann H Sanpera A Santos L Lewenstein M Hellweg D Cacciapuoti L Kottke M Schulte T Sengstock K Arlt JJ and Ertmer W . 2002 . cond-mat/0210348 · arXiv
- Bethe HA and Physik Z . 1931 . 21 : 205 · DOI · Paper page
- Verstraete F and Cirac JI . 2004 . cond-mat/0407066 · arXiv
- Wegner , FJ . 1976 . Z. Phys , 25 : 327
- Gorkov , LP , Larkin , AI and Khmelnitskii , DE . 1979 . JETP Lett , 30 : 228
- Cusack , NE . 1987 . The Physics of Structurally Disordered Matter , Bristol : Adam Hilger .
- Balian , R , Maynard , R and Toulouse , G . 1979 . Ill-Condensed Matter , Amsterdam : North-Holland .
- 10.1103/PhysRevLett.67.2307 · DOI
- Kantian , A . 2004 . Disordered Quantum Phases in Optical Lattices , Diploma Thesis, Universität Hannover
- Altshuler , BL and Aronov , AG . 1979 . Sov. Phys. JETP , 50 : 968
- Martin , T , Montambaux , G , Tran , J and Thanh , Van . 1996 . Correlated Fermions and Transport in Mesoscopic systems , Gif-sur-Yvette : Frontieres . (Eds)
- Efros , AL . 1981 . Sov. Phys. JETP , 54 : 218
- Sherrington D . 1998 . cond-mat/9806289 · arXiv
- Büchler HP . 2004 . Workshop on disordered ultracold atomic gases . 2004 Hannover.
- Hulthén , L . 1938 . Arkiv. Mat. Astron. Physik, , 26A : 11
- 10.1007/BF01334744 · DOI
- 10.1016/j.aop.2005.10.005 · DOI · Paper page
- Stamper-Kurn DM and Ketterle W . 1999 . Proceedings of Les Houches 1999 Summer School . 1999 . Session LXXII
- Romero-Isart O Eckert K and Sanpera A . 2006 . quant-ph/0610210 · arXiv
- Takahashi , Y , Takasu , Y , Maki , K , Komori , K , Takano , T , Honda , K , Yamaguchi , A , Kato , Y , Mizoguchi , M , Kumakura , M and Yabuzaki , T . 2004 . Laser Phys. , 14 : 621
- Wu C Hu J-P and Zhang S-C . submitted to Phys. Rev. Lett. (cond-mat/0512602) · arXiv
- Cazalilla , MA , Barberan , N and Cooper , NR . 2005 . Phys. Rev. A , 71 : 121303(R)
- Regnault , N and Jolicoeur , T . 2004 . Phys. Rev. B , 18 : 1003
- Goldman N and Gaspard P . 2006 . cond-mat/0609472 · arXiv
- Schulz H . 2000 . For a very good pedagogical review of Yang-Mills systems in (2+1)D see hep-ph/0008239 · arXiv
- Jacob , A and Santos , L . 2006 . AMOP-Frühjahrstagung der DPG, Ver. Deutsch. Phys. Ges. 7 , Q2.4
- Paredes B Keilmann T and Cirac JI . 2006 . cond-mat/0608012 · arXiv
- Engelhardt M . 2004 . For a recent review of LGT's see hep-lat/0409023 · arXiv
- Snoek M Vandoren S and Stoof HTC . 2006 . cond-mat/0604671 · arXiv
- DiVincenzo DP Fuchs CA Mabuchi H Smolin JA Thapliyal A and Uhlmann A . 1998 . quant-ph/9803033 · arXiv
- Laustsen , T , Verstraete , F and van , SJ . 2003 . Enk, Quantum Inf. Comput. , 3 : 64
- Horodecki , M . 2001 . Quantum Inf. Comput. , 1 : 7
- Plenio , MB and Virmani , S . 2007) (quant-ph/0504163 . Quant. Inf. Comp. , 7 : 1 · arXiv
- Nielsen MA . 1998 . USA : University of New Mexico . Ph.D. thesis (quant-ph/0011036) · arXiv
- Preskill , J . 2000 . J. Mod. Phys. , 47 : 127
- Dennison KA and Wootters WK . 2001 . quant-ph/0106058 · arXiv
- Fu H Solomon AI and Wang X . 2002 . quant-ph/0201025 · arXiv
- Latorre , JI , Rico , E and Vidal , G . 2004 . Quantum Inf. Comput. , 4 : 48
- Wineland DJ Leibfried D Barrett MD Ben-Kish A Bergquist JC Blakestad RB Bollinger JJ Britton J Chiaverini J Demarco B Hume D Itano WM Jensen M Jost JD Knill E Koelemeij J Langer C Oskay W Ozeri R Reichle R Rosenband T Schaetz T Schmidt PO and Seidelin S . 2005 . Proceedings of the International Conference on Laser Spectroscopy (ICOLS) . 2005 . quant-ph/0508025 · arXiv
- 10.1103/PhysRevLett.86.5188 · DOI · Paper page
- 10.1103/PhysRevLett.86.5188 · DOI · Paper page
- Gottesman D . 1997 . USA : California Institute of Technology . Ph.D. thesis (quant-ph/9705052) · arXiv
- Leung DW . 2001 . quant-ph/0111122 · arXiv
- Sen(De) A Sen U Lewenstein M Ahufinger V Pons M and Sanpera A . 2005 . Proceedings of the 17th International Conference on Laser Spectroscopy . 2005 . pp. 156 – 166 . Singapore : World Scientific .
- Braungardt S Sen(De) A Sen U and Lewenstein M . 2006 . quant-ph/0607053 · arXiv
Cited by
Sorted by citations
Items 201–300 of 1,000
Quantum disordered phase on the frustrated honeycomb lattice
Cabra, D. C., Lamas, C. A., & Rosales, H. D. (2011) · Physical Review B · doi:10.1103/physrevb.83.094506 · Cited by 91
Ground-state phase diagram of the quantum J1−J2 model on the square lattice
Mezzacapo, F. (2012) · Physical Review B · doi:10.1103/physrevb.86.045115 · Cited by 91
Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
Mark, M. J., Haller, E., Lauber, K., Danzl, J. G., Daley, A. J., & Nägerl, H. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.175301 · Cited by 90
Critical dynamics of decoherence
Damski, B., Quan, H. T., & Zurek, W. H. (2011) · Physical Review A · doi:10.1103/physreva.83.062104 · Cited by 91
Self-citationNonlinear quantum interferometry with Bose condensed atoms
Lee, C., Huang, J., Deng, H., Dai, H., & Xu, J. (2012) · Frontiers of Physics · doi:10.1007/s11467-011-0228-6 · Cited by 88
Yamamoto, D., Marmorini, G., & Danshita, I. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.027201 · Cited by 92
Raman-dressed spin-1 spin-orbit-coupled quantum gas
Lan, Z., & Öhberg, P. (2014) · Physical Review A · doi:10.1103/physreva.89.023630 · Cited by 90
Dynamic generation of spin-squeezed states in bosonic Josephson junctions
Juliá-Díaz, B., Zibold, T., Oberthaler, M. K., Melé-Messeguer, M., Martorell, J., & Polls, A. (2012) · Physical Review A · doi:10.1103/physreva.86.023615 · Cited by 89
Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
Chang, C.-C., & Zhang, S. (2008) · Physical Review B · doi:10.1103/physrevb.78.165101 · Cited by 89
Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes
Chang, C.-C., & Zhang, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.116402 · Cited by 94
Efficient and feasible state tomography of quantum many-body systems
Ohliger, M., Nesme, V., & Eisert, J. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/1/015024 · Cited by 87
Quantum phase diagram of bosons in optical lattices
dos Santos, F. E. A., & Pelster, A. (2009) · Physical Review A · doi:10.1103/physreva.79.013614 · Cited by 87
Juliá-Díaz, B., Dagnino, D., Lewenstein, M., Martorell, J., & Polls, A. (2010) · Physical Review A · doi:10.1103/physreva.81.023615 · Cited by 86
Self-citationAbsorption imaging of a quasi-two-dimensional gas: A multiple scattering analysis
Chomaz, L., Corman, L., Yefsah, T., Desbuquois, R., & Dalibard, J. (2012) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-b-000049792 · Cited by 86
Stability of a dipolar Bose-Einstein condensate in a one-dimensional lattice
Müller, S., Billy, J., Henn, E. A. L., Kadau, H., Griesmaier, A., Jona-Lasinio, M., Santos, L., & Pfau, T. (2011) · Physical Review A · doi:10.1103/physreva.84.053601 · Cited by 85
Quantum Computation of Scattering in Scalar Quantum Field Theories
Jordan, S. P., Lee, K. S. M., & Preskill, J. P. (2014) · CaltechAUTHORS (California Institute of Technology) · Cited by 85
Density Matrix Renormalization Group in the Heisenberg Picture
Hartmann, M. J., Prior, J., Clark, S. R. L., & Plenio, M. B. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.057202 · Cited by 88
Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices
Hayward, A. L. C., Martin, A., & Greentree, A. D. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.223602 · Cited by 82
Quantum simulation of the Abelian-Higgs lattice gauge theory with ultracold atoms
González-Cuadra, D., Zohar, E., & Cirac, J. I. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa6f37 · Cited by 81
Strongly Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
Gautier, R., Yao, H., & Sanchez-Palencia, L. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.110401 · Cited by 83
“Moreover interactions can be tuned in wide ranges [56 – 58], hence offering a unique playground.”
BackgroundQuantum Fluctuations, Temperature, and Detuning Effects in Solid-Light Systems
Aichhorn, M., Hohenadler, M., Tahan, C., & Littlewood, P. B. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.216401 · Cited by 84
Fermionic quantum processing with programmable neutral atom arrays
González-Cuadra, D., Bluvstein, D., Kalinowski, M., Kaubruegger, R., Maskara, N., Naldesi, P., Zache, T. V., Kaufman, A. M., Lukin, M. D., Pichler, H., et al. (2023) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2304294120 · Cited by 104
Sub-shot-noise quantum metrology with entangled identical particles
Benatti, F., Roberto Floreanini, B., & Marzolino, U. (2010) · Annals of Physics · doi:10.1016/j.aop.2010.01.005 · Cited by 86
Fermionic and Majorana bound states in hybrid nanowires with non-uniform spin-orbit interaction
Klinovaja, J., & Loss, D. (2015) · The European Physical Journal B · doi:10.1140/epjb/e2015-50882-2 · Cited by 83
Emerging bosons with three-body interactions from spin-1 atoms in optical lattices
Mazza, L., Rizzi, M., Lewenstein, M., & Cirac, J. I. (2010) · Physical Review A · doi:10.1103/physreva.82.043629 · Cited by 79
Self-citationTopological phase transitions in the non-Abelian honeycomb lattice
Bermúdez, A., Goldman, N., Kubasiak, A., Lewenstein, M., & Martin-Delgado, M. A. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/3/033041 · Cited by 85
Self-citationSign-alternating interaction mediated by strongly correlated lattice bosons
Söyler, Ş. G., Capogrosso-Sansone, B., Prokof'ev, N. V., & Svistunov, B. V. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073036 · Cited by 79
Damski, B., & Rams, M. M. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/2/025303 · Cited by 79
Self-citationSanchez-Palencia, L., Clément, D., Lugan, P., Bouyer, P., & Aspect, A. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/4/045019 · Cited by 83
Emergent Models for Gravity: an Overview of Microscopic Models
Sindoni, L. (2012) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2012.027 · Cited by 98
Order by disorder in spin-orbit-coupled Bose-Einstein condensates
Barnett, R., Powell, S., Graß, T., Lewenstein, M., & Sarma, S. D. (2012) · Physical Review A · doi:10.1103/physreva.85.023615 · Cited by 78
Self-citationZ2 Topological Insulators in Ultracold Atomic Gases
Béri, B., & Cooper, N. R. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.145301 · Cited by 75
Yuan, J.-K., Chen, S. A., & Ye, P. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023267 · Cited by 78
“condensed matter, nuclear physics and high energy physics [4–16].”
BackgroundLow-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
Derzhko, O., Richter, J., Honecker, A., Maksymenko, M., & Moessner, R. (2010) · Physical Review B · doi:10.1103/physrevb.81.014421 · Cited by 78
Optical lattice quantum Hall effect
Palmer, R. N., Klein, A., & Jaksch, D. (2008) · Physical Review A · doi:10.1103/physreva.78.013609 · Cited by 78
Entanglement in fermion systems and quantum metrology
Benatti, F., Roberto Floreanini, B., & Marzolino, U. (2014) · Physical Review A · doi:10.1103/physreva.89.032326 · Cited by 79
Generation of Macroscopic Singlet States in a Cold Atomic Ensemble
Behbood, N., Ciurana, F. M., Colangelo, G., Napolitano, M., Tóth, G., Sewell, R. J., & Mitchell, M. W. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.093601 · Cited by 76
Site-Resolved Imaging of Ultracold Fermions in a Triangular-Lattice Quantum Gas Microscope
Yang, J., Liu, L.-Y., Mongkolkiattichai, J., & Schauss, P. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.020344 · Cited by 58
Bhattacharyya, S., Das, A., & Dasgupta, S. (2012) · Physical Review B · doi:10.1103/physrevb.86.054410 · Cited by 77
Realizing unconventional quantum magnetism with symmetric top molecules
Wall, M. L., Maeda, K., & Carr, L. D. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/2/025001 · Cited by 81
Bogoliubov excitations of disordered Bose-Einstein condensates
Gaul, C., & Müller, C. A. (2011) · Physical Review A · doi:10.1103/physreva.83.063629 · Cited by 77
Reinforcement Learning for Many-Body Ground-State Preparation Inspired by Counterdiabatic Driving
Yao, J., Lin, L., & Bukov, M. (2021) · Physical Review X · doi:10.1103/physrevx.11.031070 · Cited by 87
Semisynthetic zigzag optical lattice for ultracold bosons
Anisimovas, E., Račiūnas, M., Sträter, C., Eckardt, A., Spielman, I. B., & Juzeliūnas, G. (2016) · Physical Review A · doi:10.1103/physreva.94.063632 · Cited by 74
Recent Progress in Quantum Simulation Using Superconducting Circuits
Paraoanu, G. S. (2014) · Journal of Low Temperature Physics · doi:10.1007/s10909-014-1175-8 · Cited by 79
Collective decoherence of cold atoms coupled to a Bose–Einstein condensate
Cirone, M. A., Chiara, G. D., Palma, G. M., & Recati, A. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/10/103055 · Cited by 74
Topological insulator and particle pumping in a one-dimensional shaken optical lattice
Mei, F., You, J.-B., Zhang, D.-W., Yang, X.-C., Fazio, R., Zhu, S.-L., & Kwek, L. C. (2014) · Physical Review A · doi:10.1103/physreva.90.063638 · Cited by 74
Scattering resonances and two-particle bound states of the extended Hubbard model
Valiente, M., & Petrosyan, D. (2009) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/42/12/121001 · Cited by 75
Quantum simulation of correlated-hopping models with fermions in optical lattices
Liberto, M. F. D., Creffield, C. E., Japaridze, G. I., & Smith, C. M. (2014) · Physical Review A · doi:10.1103/physreva.89.013624 · Cited by 73
Transverse spinning of a sphere in a plasmonic field
Canaguier‐Durand, A., & Genet, C. (2014) · Physical Review A · doi:10.1103/physreva.89.033841 · Cited by 73
Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain
Puškarov, T., & Schuricht, D. (2016) · SciPost Physics · doi:10.21468/scipostphys.1.1.003 · Cited by 70
XYZ Quantum Heisenberg Models with p -Orbital Bosons
Pinheiro, F., Bruun, G. M., Martikainen, J.-P., & Larson, J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.205302 · Cited by 72
Magnetic field modification of ultracold molecule–molecule collisions
Tscherbul, T. V., Suleimanov, Y. V., Aquilanti, V., & Krems, R. V. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/5/055021 · Cited by 72
Quantum spin Hall effect in strip of stripes model
Klinovaja, J., & Tserkovnyak, Y. (2014) · Physical Review B · doi:10.1103/physrevb.90.115426 · Cited by 73
Ferromagnetic behavior in the strongly interacting two-component Bose gas
Guan, X., Batchelor, M. T., & Takahashi, M. (2007) · Physical Review A · doi:10.1103/physreva.76.043617 · Cited by 71
Supersolid with nontrivial topological spin textures in spin-orbit-coupled Bose gases
Han, W., Juzeliūnas, G., Zhang, W., & Liu, W. (2015) · Physical Review A · doi:10.1103/physreva.91.013607 · Cited by 71
Gammelmark, S., & Mølmer, K. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/5/053035 · Cited by 77
Simulating quantum-optical phenomena with cold atoms in optical lattices
Navarrete–Benlloch, C., de Vega, I., Porras, D., & Cirac, J. I. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/2/023024 · Cited by 66
Dynamics, dephasing and clustering of impurity atoms in Bose–Einstein condensates
Klein, A., Bruderer, M., Clark, S. R., & Jaksch, D. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/11/411 · Cited by 68
Measuring the quantum geometric tensor in two-dimensional photonic and exciton-polariton systems
Bleu, O., Solnyshkov, D. D., & Malpuech, G. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.195422 · Cited by 66
Relativistic quantum effects of Dirac particles simulated by ultracold atoms
张丹伟, 汪子丹, & 朱诗亮 (2011) · Frontiers of Physics · doi:10.1007/s11467-011-0223-y · Cited by 70
Dynamic Optical Lattices of Subwavelength Spacing for Ultracold Atoms
Nascimbène, S., Goldman, N., Cooper, N. R., & Dalibard, J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.140401 · Cited by 73
Sakaguchi, H., & Malomed, B. A. (2014) · Physical Review E · doi:10.1103/physreve.90.062922 · Cited by 71
Gap-type dark localized modes in a Bose–Einstein condensate with optical lattices
Zeng, L., & Zeng, J. (2019) · Advanced Photonics · doi:10.1117/1.ap.1.4.046004 · Cited by 67
“y *Address all correspondence to Jianhua Zeng, E-mail: zengjh@opt.ac.cn described by a single-particle Schrödinger-like equation the Research Article Advanced Photonics 046004-1 Jul Aug 2019 Vol. 1(4) Downloaded From: https://www.spiedigitallibrary.org/journals/Advanced-Photonics on 27 Aug 2019 Terms of Use: https://w…”
BackgroundMethodInfluentialEntanglement and squeezing with identical particles: ultracold atom quantum metrology
Benatti, F., Roberto Floreanini, B., & Marzolino, U. (2011) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/44/9/091001 · Cited by 67
Simulating and detecting the quantum spin Hall effect in the kagome optical lattice
Liu, G., Zhu, S.-L., Jiang, S.-J., Sun, F., & Liu, W. M. (2010) · Physical Review A · doi:10.1103/physreva.82.053605 · Cited by 69
Effects of smooth boundaries on topological edge modes in optical lattices
Buchhold, M., Cocks, D., & Hofstetter, W. (2012) · Physical Review A · doi:10.1103/physreva.85.063614 · Cited by 65
Mott transition for strongly interacting one-dimensional bosons in a shallow periodic potential
Boéris, G., Gori, L., Hoogerland, M. D., Kumar, A., Lucioni, E., Tanzi, L., Inguscio, M., Giamarchi, T., D’Errico, C., Carleo, G., et al. (2016) · Physical Review A · doi:10.1103/physreva.93.011601 · Cited by 67
Zwick, A., Álvarez, G. A., Stolze, J., & Osenda, O. (2012) · Physical Review A · doi:10.1103/physreva.85.012318 · Cited by 68
Entanglement spectrum of one-dimensional extended Bose-Hubbard models
Deng, X., & Santos, L. (2011) · Physical Review B · doi:10.1103/physrevb.84.085138 · Cited by 67
Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory
Pai, R. V., Sheshadri, K., & Pandit, R. A. (2008) · Physical Review B · doi:10.1103/physrevb.77.014503 · Cited by 67
Zhang, D.-W., Zhao, Y. X., Liu, R., Xue, Z., Zhu, S.-L., & Wang, Z. D. (2016) · Physical Review A · doi:10.1103/physreva.93.043617 · Cited by 67
Goldman, N., Anisimovas, E., Gerbier, F., Öhberg, P., Spielman, I. B., & Juzeliūnas, G. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/1/013025 · Cited by 66
The dissipative Bose-Hubbard model
Kordas, G., Witthaut, D., Buonsante, P., Vezzani, A., Burioni, R., Karanikas, A. I., & Wimberger, S. (2015) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2015-02528-2 · Cited by 71
Bright focused ion beam sources based on laser-cooled atoms
McClelland, J. J., Steele, A., Knuffman, B., Twedt, K. A., Schwarzkopf, A., & Wilson, T. (2016) · Applied Physics Reviews · doi:10.1063/1.4944491 · Cited by 68
Mazza, L., Bermúdez, A., Goldman, N., Rizzi, M., Martin-delgado, M. A., & Lewenstein, M. (2012) · MPG.PuRe (Max Planck Society) · Cited by 66
Self-citationSingle-particle digitization strategy for quantum computation of a ϕ4 scalar field theory
Barata, J., Mueller, N., Tarasov, A., & Raju Venugopalan, B. (2021) · Physical Review A · doi:10.1103/physreva.103.042410 · Cited by 78
Cavity-assisted dynamical spin-orbit coupling in cold atoms
Dong, L., Zhou, L., Wu, B., Ramachandhran, B., & Pu, H. (2014) · Physical Review A · doi:10.1103/physreva.89.011602 · Cited by 65
Effective three-body interactions via photon-assisted tunneling in an optical lattice
Daley, A. J., & Simon, J. (2014) · Physical Review A · doi:10.1103/physreva.89.053619 · Cited by 62
Coherent patterning of matter waves with subwavelength localization
Mompart, J., Ahufinger, V., & Birkl, G. (2009) · Physical Review A · doi:10.1103/physreva.79.053638 · Cited by 67
Self-citationSeparation of variables for integrable spin–boson models
Luigi Amico, A., Frahm, H., Osterloh, A., & Wirth, T. (2010) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2010.07.005 · Cited by 67
Nonequilibrium Dynamics of the Bose-Hubbard Model: A Projection-Operator Approach
Trefzger, C., & Sengupta, K. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.095702 · Cited by 65
Bloch, I. (2008) · Science · doi:10.1126/science.1152501 · Cited by 69
Roux, G., Capponi, S., Lecheminant, P., & Azaria, P. (2008) · The European Physical Journal B · doi:10.1140/epjb/e2008-00374-7 · Cited by 64
Quantum Nondemolition Measurements and State Preparation in Quantum Gases by Light Detection
Mekhov, I. B., & Ritsch, H. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.020403 · Cited by 64
Many-Body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases
Lindinger, J., Buchleitner, A., & Rodríguez, A. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.106603 · Cited by 67
Spin-Twisted Optical Lattices: Tunable Flat Bands and Larkin-Ovchinnikov Superfluids
Luo, X.-W., & Zhang, C. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.103201 · Cited by 66
“[32] M.”
BackgroundGritsev, V., Rostunov, T., & Demler, E. (2010) · reroDoc Digital Library · Cited by 63
Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
Zhang, D.-W., Zhu, S.-L., & Wang, Z. D. (2015) · Physical Review A · doi:10.1103/physreva.92.013632 · Cited by 62
“On the other hand, ultracold atomic gases in optical lattices provide a powerful platform to simulate various quantum states of matter [20, 21].”
BackgroundCoherent Light Scattering from a Two-Dimensional Mott Insulator
Weitenberg, C., Schauß, P., Fukuhara, T., Cheneau, M., Endres, M., Bloch, I., & Kuhr, S. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.215301 · Cited by 63
Massless Dirac fermions in a square optical lattice
Hou, J.-M., Yang, W., & Liu, X.-J. (2009) · Physical Review A · doi:10.1103/physreva.79.043621 · Cited by 62
Transport of strong-coupling polarons in optical lattices
Bruderer, M., Klein, A., Clark, S. R., & Jaksch, D. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/3/033015 · Cited by 63
Quantum stability of Mott-insulator states of ultracold atoms in optical resonators
Larson, J., Fernández-Vidal, S., Morigi, G., & Lewenstein, M. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/4/045002 · Cited by 65
Self-citationBatchelor, M. T., Guan, X. W., Oelkers, N., & Tsuboi, Z. (2007) · Advances In Physics · doi:10.1080/00018730701265383 · Cited by 63
Robinson, N., Johnson, P., Rice, T., & Tsvelik, A. (2019) · Reports on progress in physics. Physical Society · doi:10.1088/1361-6633/ab31ed · Cited by 65
Integrability versus quantum thermalization
Larson, J. (2013) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/46/22/224016 · Cited by 63
Chaos and Ergodicity across the Energy Spectrum of Interacting Bosons
Pausch, L., Carnio, E. G., Rodríguez, A., & Buchleitner, A. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.150601 · Cited by 62
“[45] M.”
BackgroundAdiabatic preparation of many-body states in optical lattices
Sørensen, A. S., Altman, E., Gullans, M. J., Porto, J. V., Lukin, M. D., & Demler, E. (2010) · Physical Review A · doi:10.1103/physreva.81.061603 · Cited by 62
Ultracold bosons in zig-zag optical lattices
Greschner, S., Santos, L., & Vekua, T. (2013) · Physical Review A · doi:10.1103/physreva.87.033609 · Cited by 62
Quantum transport of bosonic cold atoms in double-well optical lattices
Qian, Y., Gong, M., & Zhang, C. (2011) · Physical Review A · doi:10.1103/physreva.84.013608 · Cited by 62
Bipartite entanglement in systems of identical particles: The partial transposition criterion
Benatti, F., Roberto Floreanini, B., & Marzolino, U. (2012) · Annals of Physics · doi:10.1016/j.aop.2012.02.002 · Cited by 62
Metadata
- Authors
- Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U.
- Affiliations
- Institució Catalana de Recerca i Estudis Avançats (ES)
- Los Alamos National Laboratory (US)
- ICFO-Institut de Ciències Fotòniques
- Institute of Photonic Sciences (ES)
- Corresponding author
- Sen, Ujjwal
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 2007-03
- Volume
- 56
- Issue
- 2
- Pages
- 243-379
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W1963988846
- Semantic Scholar
- eaa297a60da9e93cab13ada065aaac0797a33fa7
- Cited by
- 2,104
- References
- 802
- Citations by year
- 2026: 40 · 2025: 83 · 2024: 71 · 2023: 89 · 2022: 82 · 2021: 92 · 2020: 112 · 2019: 87 · 2018: 83 · 2017: 111 · 2016: 127 · 2015: 132 · 2014: 128 · 2013: 149 · 2012: 162
- FWCI
- 82.27
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Advances In Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) (submittedVersion, public-domain)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, public-domain)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- ultracold atoms, optical lattices, quantum simulation, Hubbard model, frustrated lattices, artificial magnetic field, quantum information processing, molecular gas, condensed matter physics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review