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In optical lattices, tuning the polarization of trapping lasers can induce entangling interactions between neighboring atoms and create a cluster state across the whole lattice.
“Tuning the polarization of the trapping lasers can induce entangling interactions 22,23 between neighboring atoms across the array and create a cluster state across the whole lattice 20,24,25 .”
From Measurement-based quantum computation (2009) · cites this paper as [23]
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Sorted by citations
Many-body physics with ultracold gases
Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114 · see citing works
Non-Abelian anyons and topological quantum computation
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“For instance, there is a specific scheme for realizing the Hubbard model (Jaksch and Zoller, 2005) in this way.”
BackgroundMethodGeorgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932 · see citing works
“However, besides the brief overview of quantum simulators in (Buluta and Nori, 2009) and the specialized reviews focused on cold atoms (Bloch et al., 2012; Jaksch and Zoller, 2005; Lewenstein et al., 2007), ions (Blatt and Roos, 2012; Schneider et al.”
BackgroundUltracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104 · see citing works
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339 · see citing works
A quantum engineer's guide to superconducting qubits
Krantz, P., Kjærgaard, M., Yan, F., Orlando, T. P., Gustavsson, S., & Oliver, W. D. (2019) · Applied Physics Reviews · doi:10.1063/1.5089550 · Cited by 2,056 · see citing works
Dynamics of Bose-Einstein condensates in optical lattices
Morsch, O., & Oberthaler, M. K. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.179 · Cited by 1,618 · see citing works
“The amount of literature on this system alone is so large that we refer the interested reader to more specialized reviews3 Bloch, 2005; Jaksch and Zoller, 2005 .”
BackgroundHybrid quantum circuits: Superconducting circuits interacting with other quantum systems
Xiang, Z.-L., Ashhab, S., You, J. Q., & Nori, F. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.623 · Cited by 1,550 · see citing works
“…arrays created by laser beams, and can be precisely manipulated for eventual use in future quantum devices [see, e.g., Wieman et al. (1999) and Bloch (2008)] and simulators [see, e.g., Jaksch and Zoller (2005), Buluta and Nori (2009), Lewenstein et al. (2007), and Georgescu and Nori (2011)].”
MethodA quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice
Bakr, W., Gillen, J. I., Peng, A., Fölling, S., & Greiner, M. (2009) · Nature · doi:10.1038/nature08482 · Cited by 1,511 · see citing works
“In Hubbard-regime optical lattice systems an atomic quantum gas resides in a multi-dimensional array of lattice sites 10 .”
BackgroundRealization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
Aidelsburger, M., Atala, M., Lohse, M., Barreiro, J. T., Paredes, B., & Bloch, I. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.185301 · Cited by 1,400 · see citing works
Quantum simulations with ultracold atoms in optical lattices
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Single-atom-resolved fluorescence imaging of an atomic Mott insulator
Sherson, J. F., Weitenberg, C., Endres, M., Cheneau, M., Bloch, I., & Kuhr, S. (2010) · Nature · doi:10.1038/nature09378 · Cited by 1,361 · see citing works
Bukov, M., D’Alessio, L., & Polkovnikov, A. (2015) · Advances In Physics · doi:10.1080/00018732.2015.1055918 · Cited by 1,299 · see citing works
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de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,227 · see citing works
Light-induced gauge fields for ultracold atoms
Goldman, N., Juzeliūnas, G., Öhberg, P., & Spielman, I. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/12/126401 · Cited by 1,212 · see citing works
Measurement-based quantum computation
Briegel, H. J., Browne, D. E., Dür, W., Raussendorf, R., & Van den Nest, M. (2009) · Nature Physics · doi:10.1038/nphys1157 · Cited by 1,090 · see citing works
“Tuning the polarization of the trapping lasers can induce entangling interaction”
BackgroundA toolbox for lattice-spin models with polar molecules
Micheli, A., Brennen, G. K., & Zoller, P. (2006) · Nature Physics · doi:10.1038/nphys287 · Cited by 1,079 · see citing works
“The idea of realizing bosonic and fermionic Hubbard models, and thus also lattice-spin models, with cold atoms in optical lattices has sparked a remarkable series of experiments, and has triggered numerous theoretical studies to develop cold atoms as a quantum simulator for strongly correlated condensed-matter system”
BackgroundSelf-citationTrotzky, S., Chen, Y.-A., Flesch, A., McCulloch, I. P., Schollwöck, U., Eisert, J., & Bloch, I. (2012) · Nature Physics · doi:10.1038/nphys2232 · Cited by 1,058 · see citing works
“〉—thus realizing step (1)—with a distribution of particle numbers N and, thus, lengths L = 2N − 1 given by the external confinement.”
BackgroundInfluentialSolitons in nonlinear lattices
Kartashov, Y. V., Malomed, B. A., & Torner, L. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.247 · Cited by 1,020 · see citing works
“…reviewed in several comprehensive articles, as concerns both the mean-field matter-wave dynamics (Brazhnyi and Konotop, 2004; Morsch and Oberthaler, 2006) and properties of strongly correlated ultracold atoms (Jaksch and Zoller, 2005; Lewenstein et al., 2007; Bloch, Dalibard, and Zwerger, 2008).”
BackgroundStrongly interacting polaritons in coupled arrays of cavities
Hartmann, M. J., Brandão, F. G. S. L., & Plenio, M. B. (2006) · Nature Physics · doi:10.1038/nphys462 · Cited by 961 · see citing works
“These artificial systems could act as quantum simulators, where the dynamics of a rather complex hamiltonian can be simulated in an experiment by either creating the hamiltonian in question, or Trotter decomposing the evolution into small steps, where the dynamics of each step is generated by a much simpler hamiltonia”
BackgroundBuluta, I., & Nori, F. (2009) · Science · doi:10.1126/science.1177838 · Cited by 876 · see citing works
Quantum trajectories and open many-body quantum systems
Daley, A. J. (2014) · Advances In Physics · doi:10.1080/00018732.2014.933502 · Cited by 840 · see citing works
“Because J depends exponentially on the depth of the lattice, it is relatively straight-forward to make tunnelling timescales very long indeed [211].”
BackgroundInfluentialProgress towards practical quantum variational algorithms
Wecker, D., Hastings, M. B., & Troyer, M. (2015) · Physical Review A · doi:10.1103/physreva.92.042303 · Cited by 716 · see citing works
Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
Schneider, U., Hackermüller, L., Will, S., Best, T., Bloch, I., Costi, T. A., Helmes, R. W., Rasch, D., & Rosch, A. (2008) · Science · doi:10.1126/science.1165449 · Cited by 720 · see citing works
Natural and artificial atoms for quantum computation
Buluta, I. M., Ashhab, S., & Nori, F. (2011) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/10/104401 · Cited by 683 · see citing works
“The prospect of producing many-qubit entangled states together with the possibility of single-site addressing and measurement makes neutral atoms promising for the quantum simulation of condensed-matter physics [16, 23] as well as measurement-based QC [39].”
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- Authors
- Jaksch, D., & Zoller, P.
- Affiliations
- Austrian Academy of Sciences (AT)
- Corresponding author
- Jaksch, D.
- Venue
- Annals of Physics
- Publisher
- Elsevier BV
- Published
- 2005-01
- Volume
- 315
- Issue
- 1
- Pages
- 52-79
- ISSN
- 0003-4916 (ISSN-L)
- OpenAlex
- W2134081085
- Cited by
- 976
- References
- 68
- Citations by year
- 2026: 28 · 2025: 39 · 2024: 31 · 2023: 29 · 2022: 41 · 2021: 35 · 2020: 42 · 2019: 47 · 2018: 53 · 2017: 39 · 2016: 51 · 2015: 44 · 2014: 51 · 2013: 44 · 2012: 57
- FWCI
- 24.35
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Annals of Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- 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 › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- cold atoms, optical lattices, strongly correlated systems, many-body Hamiltonian, quantum simulation, quantum computing, defects, Hubbard model
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