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“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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Many-body physics with ultracold gases
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“For instance, there is a specific scheme for realizing the Hubbard model (Jaksch and Zoller, 2005) in this way.”
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“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.”
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“〉—thus realizing step (1)—with a distribution of particle numbers N and, thus, lengths L = 2N − 1 given by the external confinement.”
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Kinnunen, J. J., Baarsma, J. E., Martikainen, J.-P., & Törmä, P. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aaa4ad · Cited by 137
“For a more detailed derivation and information on the approximations used, see for instance [45, 46, 47, 48, 49].”
An ytterbium quantum gas microscope with narrow-line laser cooling
Yamamoto, R., Kobayashi, J., Kuno, T., Kato, K., & Takahashi, Y. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/2/023016 · Cited by 159
Digital lattice gauge theories
Zohar, E., Farace, A., Reznik, B., & Cirac, J. I. (2017) · Physical Review A · doi:10.1103/physreva.95.023604 · Cited by 130
Paiva, T., Scalettar, R. T., Randeria, M., & Trivedi, N. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.066406 · Cited by 135
Robust and fragile PT -symmetric phases in a tight-binding chain
Joglekar, Y. N., Scott, D. D., Babbey, M., & Saxena, A. (2010) · Physical Review A · doi:10.1103/physreva.82.030103 · Cited by 134
Optimal control of complex atomic quantum systems
van Frank, S., Bonneau, M., Schmiedmayer, J., Hild, S., Gross, C., Cheneau, M., Bloch, I., Pichler, T., Negretti, A., Calarco, T., et al. (2016) · Scientific Reports · doi:10.1038/srep34187 · Cited by 152
Sweeping from the Superfluid to the Mott Phase in the Bose-Hubbard Model
Schützhold, R., Uhlmann, M., Xu, Y., & Fischer, U. R. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.200601 · Cited by 139
Johnson, T. H., Clark, S. R., & Jaksch, D. (2014) · EPJ Quantum Technology · doi:10.1140/epjqt10 · Cited by 127
Self-citationInteraction and filling-induced quantum phases of dual Mott insulators of bosons and fermions
Sugawa, S., Inaba, K., Taie, S., Yamazaki, R., Yamashita, M., & Takahashi, Y. (2011) · Nature Physics · doi:10.1038/nphys2028 · Cited by 129
“Recently, Mott insulating phases have been studied by ultracold atoms confined within an optical lattice [2, 3] where three mutually perpendicular standing laser waves create a periodic potential.”
BackgroundOut-of-time-order correlation at a quantum phase transition
Shen, H., Zhang, P., Fan, R., & Zhai, H. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.054503 · Cited by 135
Superconducting Circuit Companion—an Introduction with Worked Examples
Rasmussen, S. E., Christensen, K. S., Pedersen, S. P., Kristensen, L. B., Bækkegaard, T., Loft, N. J. S., & Zinner, N. T. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.040204 · Cited by 144
Capponi, S., Lecheminant, P., & Totsuka, K. (2016) · Annals of Physics · doi:10.1016/j.aop.2016.01.011 · Cited by 118
“(8) To derive an effective Hubbard-like Hamiltonian [57, 58], it is convenient to move from the Bloch function ϕ(n)kz (z) to the Wannier function defined by w (n) R (z) ≡ 1√ Ncell ∑ kz e−ikzRϕ (n) kz (z) (9) (the index R labels the center of the Wannier function and Ncell is the number of unit cells in the z-direction…”
BackgroundMethodAn ytterbium quantum gas microscope with narrow-line laser cooling
Yamamoto, R., Kobayashi, J., Kuno, T., Kato, K., & Takahashi, Y. (2016) · Institutional Repositories DataBase (IRDB) · Cited by 120
Heating and many-body resonances in a periodically driven two-band system
Bukov, M., Heyl, M., Huse, D. A., & Polkovnikov, A. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.155132 · Cited by 116
Metadata
- 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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