Cited by 976Cold Atom Physics and Bose-Einstein CondensatesQuantum many-body systemsQuantum optics and atomic interactions

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The cold atom Hubbard toolbox

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Jaksch, D., Zoller, P.·2005·Annals of Physics

DOI 10.1016/j.aop.2004.09.010

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Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
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Dynamics of the dissipative two-state system
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A One-Way Quantum Computer
Raussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477
Cold Bosonic Atoms in Optical Lattices
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Boson localization and the superfluid-insulator transition
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Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Universal Quantum Simulators
Lloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088
Efficient Classical Simulation of Slightly Entangled Quantum Computations
Vidal, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.147902 · Cited by 2,368
Bose-Einstein condensation in the alkali gases: Some fundamental concepts
Leggett, A. J. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.307 · Cited by 1,977

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A.S. Sorensen, E. Demler, M.D. Lukin. Available from: <cond-mat/0405079> · arXiv
J. I. Cirac, P. Zoller, Phys. Today (2004) 38–44. Available from: <http://www.physicstoday.org/vol-57/iss-3/contents.html> · DOI
A. Recati, P. Fedichev, W. Zwerger, J. von Delft, P. Zoller. Available from: <cond-mat/0404533> · arXiv

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Self-citation
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Background
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Method
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“The experimental advancements has further provided much more deeper understanding in fundamental quantum statistical laws, new insights in quantum computing technologies, quantum phase transitions (superfluid to Mott-insulating phase) in the regime of strong correlations[6], and Bose-Einstein condensation on optical l…”
Background
Local Gaussian domination and Bose condensation in lattice boson model
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Bose-Hubbard model with occupation-parity couplings
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Localized modes in two-dimensional Schro¨dinger lattices with a pair of nonlinear sites
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Ab initiophase diagram of ultracold87Rb in a one-dimensional two-colour superlattice
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Local decoherence-resistant quantum states of large systems
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Interacting Mixtures of Bosons and Fermions in Optical Lattice Potentials
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Radio-frequency spectroscopy of the attractive Hubbard model in a trap
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Treating Many-Body Quantum Systems by Means of Classical Mechanics
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“This model descr ibes, in particular, ultracold bosonic atoms optical lattices [6], with a unique for the many-body physics experimental control over the model parameters [7].”
Background
Z3 topological order in the quantum dimer-pentamer model
Myers, O. D., & Herdman, C. M. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.174434 · Cited by 3
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Self-citation
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“The system is trapped in a one-dimensional harmonic potential, and the defect is introduced as a delta-function potential at the center of the trap [3, 4, 17– 19].”
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“In the last decades, the study of ultracold few-atom systems in optical lattices became of particular interest due to availability of controllable parameters such as temperature, particle masses, interaction potentials etc. (see, e.g., [6, 12, 13, 23] and references therein).”
Exact solutions of the 1D Ising chain under periodic modulations: Fixed spins and periodic fields
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Control of a Bose–Einstein condensate on a chip by external optical and magnetic potentials
Maluckov, A., Petrovic, J. S., Gligorić, G., Hadžievski, L. R., Lombardi, P., Schäfer, F., & Cataliotti, F. S. (2012) · Annals of Physics · doi:10.1016/j.aop.2012.04.010 · Cited by 2
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“Experiments in this area include superfluidity [10, 11], the crossover from Cooper pairs to the Bose-Einstein condensate (BEC) region [10–13], and the Hubbard model [14– 18], which has been realized in optical lattices [15, 16, 19].”
Method
Second-Neighbor Hopping Effects in the Two-Dimensional Attractive Hubbard Model
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“Artificial gauge fields not only provide a versatile experimental method for probing fundamental aspects of quantum mechanics and condensed matter physics but also enable new technological applications in quantum information processing and quantum simulation [41–43].”
Background
Many-body tunneling in a double-well potential
Zendra, M., Borgonovi, F., Celardo, G. L., & Gurvitz, S. A. (2024) · Physical Review A · doi:10.1103/physreva.110.062222 · Cited by 3
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First-principles open quantum dynamics for solids based on density-matrix formalism
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Tunable spinful matter wave valve
Zhao, Y.-J., Yu, D., Zhuang, L., Xianlong, G., & Liu, W.-M. (2019) · Scientific Reports · doi:10.1038/s41598-019-44218-y · Cited by 2
Quantum gates between distant qubits via spin-independent scattering
Banchi, L., Compagno, E., Korepin, V. E., & Bose, S. (2017) · Quantum · doi:10.22331/q-2017-11-30-36 · Cited by 2
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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)
DOI: 10.1016/j.aop.2004.09.010
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
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
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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