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Cited by 2,104Cold Atom Physics and Bose-Einstein CondensatesQuantum many-body systemsAdvanced Condensed Matter Physics

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

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Lewenstein, Maciej, Sanpera, Anna, Ahufinger, Veronica, Damski, Bogdan, Sen(De), Aditi, Sen, Ujjwal·2007·Advances in Physics
DOI 10.1080/00018730701223200
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Abstract

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

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Research works printed but not linked: 73

  1. William Shakespeare . 2003 . Hamlet, Prince of Denmark , Cambridge : Cambridge University Press .
  2. Walls , DF and Milburn , GJ . 2006 . Quantum Optics , Berlin : Springer .
  3. Bennett CH and Brassard G . 1984 . IEEE Int. Conf. Comp. Sys. Sig. Proc. 175
  4. Shor , PW . 1994 . Proc. 35th Ann. Symp. Found. Comp. Sci. , Los Alamitos : IEEE Press .
  5. Fallani L Lye JE Guarrera V Fort C and Inguscio M . in press) cond-mat/0603655 (2006 · arXiv
  6. Lugan , P , Clément , D , Bouyer , P , Aspect , A , Lewenstein , M and Sanchez-Palencia , L . Phys. Rev. Lett , (in press)
  7. Lhuillier C . cond-mat/0502464 · arXiv
  8. Stamper-Kurn D and Ketterle W . 2000 . cond-mat/0005001 Proceedings of Les Houches 1999 Summer School Session LXXII · arXiv
  9. Zawitkowski Ł Eckert K Laskinen M Sanpera A and Lewenstein M . 2006 . cond-mat/0603273 · arXiv
  10. Dagnino D Barbern N Lewenstein M Osterloh K and Riera A . 2006 . cond-mat/0610512 · arXiv
  11. Menotti C Trefzger C and Lewenstein M . 2006 . cond-mat/0612498 · arXiv
  12. Ashcroft , NW and Mermin , ND . 1976 . Solid State Physics , Rinehart and Winston, Philadelphia : Holt .
  13. Larson J Damski B Morigi G and Lewenstein M . cond-mat/0608335 · arXiv
  14. Lewenstein M Kubasiak A Larson J Menotti C Morigi G Osterloh K and Sanpera A . 2006 . Proceedings of ICAP-2006 cond-mat/0609587 · arXiv
  15. Della Pietra L Aigner S vom Hagen Ch. Groth S Bar-Joseph I Lezec HJ and Schmiedmayer J . 2006 . cond-mat/0604619 · arXiv
  16. 10.1134/S1054660X06040268 · DOI
  17. Cazalilla , MA and Ho , AF . 2003 . Phys. Rev. A , 91 : 150403
  18. 10.1103/PhysRevLett.90.100401 · DOI
  19. 10.1103/PhysRevLett.96.180402 · DOI
  20. 10.1103/PhysRevLett.96.180403 · DOI
  21. Pollet L Kollath C Schollwoeck U and Troyer M . 2006 . cond-mat/0609604 · arXiv
  22. Press , WH , Flannery , BP , Teukolsky , SA and Vetterling , WT . 1987 . Numerical Recipes , Cambridge : Cambridge University Press .
  23. 2000 . Phys. Rev. B , 62 : 1224
  24. Campbell GK Mun J Boyd M Medley P Leanhardt AE Marcassa L Pritchard DE and Ketterle W . 2006 . cond-mat/0606642 · arXiv
  25. Vieweg und Sohn , F . 1931 . Group Theory and its Application to the Quantum Mechanics of Atomic Spectra, expanded and improved ed. (Braunschweig); English translation:
  26. 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
  27. Drummond , PD , Corney , JF , Liu , X-J and Hu , H . 2006 . in print in J. Mod. Opt ,
  28. Carusotto , I and Castin , Y . 2003 . Laser Phys , 13 : 509
  29. 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
  30. Bethe HA and Physik Z . 1931 . 21 : 205 · DOI · Paper page
  31. Verstraete F and Cirac JI . 2004 . cond-mat/0407066 · arXiv
  32. Wegner , FJ . 1976 . Z. Phys , 25 : 327
  33. Gorkov , LP , Larkin , AI and Khmelnitskii , DE . 1979 . JETP Lett , 30 : 228
  34. Cusack , NE . 1987 . The Physics of Structurally Disordered Matter , Bristol : Adam Hilger .
  35. Balian , R , Maynard , R and Toulouse , G . 1979 . Ill-Condensed Matter , Amsterdam : North-Holland .
  36. 10.1103/PhysRevLett.67.2307 · DOI
  37. Kantian , A . 2004 . Disordered Quantum Phases in Optical Lattices , Diploma Thesis, Universität Hannover
  38. Altshuler , BL and Aronov , AG . 1979 . Sov. Phys. JETP , 50 : 968
  39. Martin , T , Montambaux , G , Tran , J and Thanh , Van . 1996 . Correlated Fermions and Transport in Mesoscopic systems , Gif-sur-Yvette : Frontieres . (Eds)
  40. Efros , AL . 1981 . Sov. Phys. JETP , 54 : 218
  41. Sherrington D . 1998 . cond-mat/9806289 · arXiv
  42. Büchler HP . 2004 . Workshop on disordered ultracold atomic gases . 2004 Hannover.
  43. Hulthén , L . 1938 . Arkiv. Mat. Astron. Physik, , 26A : 11
  44. 10.1007/BF01334744 · DOI
  45. 10.1016/j.aop.2005.10.005 · DOI · Paper page
  46. Stamper-Kurn DM and Ketterle W . 1999 . Proceedings of Les Houches 1999 Summer School . 1999 . Session LXXII
  47. Romero-Isart O Eckert K and Sanpera A . 2006 . quant-ph/0610210 · arXiv
  48. 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
  49. Wu C Hu J-P and Zhang S-C . submitted to Phys. Rev. Lett. (cond-mat/0512602) · arXiv
  50. Cazalilla , MA , Barberan , N and Cooper , NR . 2005 . Phys. Rev. A , 71 : 121303(R)
  51. Regnault , N and Jolicoeur , T . 2004 . Phys. Rev. B , 18 : 1003
  52. Goldman N and Gaspard P . 2006 . cond-mat/0609472 · arXiv
  53. Schulz H . 2000 . For a very good pedagogical review of Yang-Mills systems in (2+1)D see hep-ph/0008239 · arXiv
  54. Jacob , A and Santos , L . 2006 . AMOP-Frühjahrstagung der DPG, Ver. Deutsch. Phys. Ges. 7 , Q2.4
  55. Paredes B Keilmann T and Cirac JI . 2006 . cond-mat/0608012 · arXiv
  56. Engelhardt M . 2004 . For a recent review of LGT's see hep-lat/0409023 · arXiv
  57. Snoek M Vandoren S and Stoof HTC . 2006 . cond-mat/0604671 · arXiv
  58. DiVincenzo DP Fuchs CA Mabuchi H Smolin JA Thapliyal A and Uhlmann A . 1998 . quant-ph/9803033 · arXiv
  59. Laustsen , T , Verstraete , F and van , SJ . 2003 . Enk, Quantum Inf. Comput. , 3 : 64
  60. Horodecki , M . 2001 . Quantum Inf. Comput. , 1 : 7
  61. Plenio , MB and Virmani , S . 2007) (quant-ph/0504163 . Quant. Inf. Comp. , 7 : 1 · arXiv
  62. Nielsen MA . 1998 . USA : University of New Mexico . Ph.D. thesis (quant-ph/0011036) · arXiv
  63. Preskill , J . 2000 . J. Mod. Phys. , 47 : 127
  64. Dennison KA and Wootters WK . 2001 . quant-ph/0106058 · arXiv
  65. Fu H Solomon AI and Wang X . 2002 . quant-ph/0201025 · arXiv
  66. Latorre , JI , Rico , E and Vidal , G . 2004 . Quantum Inf. Comput. , 4 : 48
  67. 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
  68. 10.1103/PhysRevLett.86.5188 · DOI · Paper page
  69. 10.1103/PhysRevLett.86.5188 · DOI · Paper page
  70. Gottesman D . 1997 . USA : California Institute of Technology . Ph.D. thesis (quant-ph/9705052) · arXiv
  71. Leung DW . 2001 . quant-ph/0111122 · arXiv
  72. 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 .
  73. Braungardt S Sen(De) A Sen U and Lewenstein M . 2006 . quant-ph/0607053 · arXiv

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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
ORCID
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
DOI
10.1080/00018730701223200
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
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

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