References analysis of the Wikipedia article "Bose–Hubbard model" in the English version

arxiv.org

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Giamarchi, Thierry; Rüegg, Christian; Tchernyshyov, Oleg (2008). "Bose–Einstein condensation in magnetic insulators". Nature Physics. 4 (3): 198–204. arXiv:0712.2250. Bibcode:2008NatPh...4..198G. doi:10.1038/nphys893. S2CID 118661914.

Kühner, T.; Monien, H. (1998). "Phases of the one-dimensional Bose-Hubbard model". Physical Review B. 58 (22): R14741. arXiv:cond-mat/9712307. Bibcode:1998PhRvB..5814741K. doi:10.1103/PhysRevB.58.R14741. S2CID 118911555.

Morrison, S.; Kantian, A.; Daley, A. J.; Katzgraber, H. G.; Lewenstein, M.; Büchler, H. P.; Zoller, P. (2008). "Physical replicas and the Bose glass in cold atomic gases". New Journal of Physics. 10 (7): 073032. arXiv:0805.0488. Bibcode:2008NJPh...10g3032M. doi:10.1088/1367-2630/10/7/073032. ISSN 1367-2630. S2CID 2822103.

Thomson, S. J.; Walker, L. S.; Harte, T. L.; Bruce, G. D. (2016-11-03). "Measuring the Edwards-Anderson order parameter of the Bose glass: A quantum gas microscope approach". Physical Review A. 94 (5): 051601. arXiv:1607.05254. Bibcode:2016PhRvA..94e1601T. doi:10.1103/PhysRevA.94.051601. S2CID 56027819.

Thomson, S. J.; Krüger, F. (2014). "Replica symmetry breaking in the Bose glass". EPL. 108 (3): 30002. arXiv:1312.0515. Bibcode:2014EL....10830002T. doi:10.1209/0295-5075/108/30002. S2CID 56307253.

Jaksch, D.; Bruder, C.; Cirac, J.; Gardiner, C.; Zoller, P. (1998). "Cold Bosonic Atoms in Optical Lattices". Physical Review Letters. 81 (15): 3108. arXiv:cond-mat/9805329. Bibcode:1998PhRvL..81.3108J. doi:10.1103/PhysRevLett.81.3108. S2CID 55578669.

Lühmann, D. S. R.; Jürgensen, O.; Sengstock, K. (2012). "Multi-orbital and density-induced tunneling of bosons in optical lattices". New Journal of Physics. 14 (3): 033021. arXiv:1108.3013. Bibcode:2012NJPh...14c3021L. doi:10.1088/1367-2630/14/3/033021. S2CID 119216031.

Sakmann, K.; Streltsov, A. I.; Alon, O. E.; Cederbaum, L. S. (2011). "Optimal time-dependent lattice models for nonequilibrium dynamics". New Journal of Physics. 13 (4): 043003. arXiv:1006.3530. Bibcode:2011NJPh...13d3003S. doi:10.1088/1367-2630/13/4/043003. S2CID 118591567.

Łącki, M.; Zakrzewski, J. (2013). "Fast Dynamics for Atoms in Optical Lattices". Physical Review Letters. 110 (6): 065301. arXiv:1210.7957. Bibcode:2013PhRvL.110f5301L. doi:10.1103/PhysRevLett.110.065301. PMID 23432268. S2CID 29095052.

Bakr, Waseem S.; Gillen, Jonathon I.; Peng, Amy; Fölling, Simon; Greiner, Markus (2009). "A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice". Nature. 462 (7269): 74–77. arXiv:0908.0174. Bibcode:2009Natur.462...74B. doi:10.1038/nature08482. PMID 19890326. S2CID 4419426.

Bakr, W. S.; Peng, A.; Tai, M. E.; Ma, R.; Simon, J.; Gillen, J. I.; Fölling, S.; Pollet, L.; Greiner, M. (2010-07-30). "Probing the Superfluid–to–Mott Insulator Transition at the Single-Atom Level". Science. 329 (5991): 547–550. arXiv:1006.0754. Bibcode:2010Sci...329..547B. doi:10.1126/science.1192368. ISSN 0036-8075. PMID 20558666. S2CID 3778258.

Weitenberg, Christof; Endres, Manuel; Sherson, Jacob F.; Cheneau, Marc; Schauß, Peter; Fukuhara, Takeshi; Bloch, Immanuel; Kuhr, Stefan (2011). "Single-spin addressing in an atomic Mott insulator". Nature. 471 (7338): 319–324. arXiv:1101.2076. Bibcode:2011Natur.471..319W. doi:10.1038/nature09827. PMID 21412333. S2CID 4352129.

Romero-Isart, O; Eckert, K; Rodó, C; Sanpera, A (2007). "Transport and entanglement generation in the Bose–Hubbard model". Journal of Physics A: Mathematical and Theoretical. 40 (28): 8019–31. arXiv:quant-ph/0703177. Bibcode:2007JPhA...40.8019R. doi:10.1088/1751-8113/40/28/S11. S2CID 11673450.

Jordan, J; Orus, R; Vidal, G (2009). "Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice". Phys. Rev. B. 79 (17): 174515. arXiv:0901.0420. Bibcode:2009PhRvB..79q4515J. doi:10.1103/PhysRevB.79.174515. S2CID 119073171.

Kshetrimayum, A.; Rizzi, M.; Eisert, J.; Orus, R. (2019). "Tensor Network Annealing Algorithm for Two-Dimensional Thermal States". Phys. Rev. Lett. 122 (7): 070502. arXiv:1809.08258. Bibcode:2019PhRvL.122g0502K. doi:10.1103/PhysRevLett.122.070502. PMID 30848636. S2CID 53125536.

Eisert, J.; Cramer, M.; Plenio, M. B. (2010). "Colloquium: Area laws for the entanglement entropy". Reviews of Modern Physics. 82 (1): 277. arXiv:0808.3773. Bibcode:2010RvMP...82..277E. doi:10.1103/RevModPhys.82.277.

Góral, K.; Santos, L.; Lewenstein, M. (2002). "Quantum Phases of Dipolar Bosons in Optical Lattices". Physical Review Letters. 88 (17): 170406. arXiv:cond-mat/0112363. Bibcode:2002PhRvL..88q0406G. doi:10.1103/PhysRevLett.88.170406. PMID 12005738. S2CID 41827359.

Sowiński, T.; Dutta, O.; Hauke, P.; Tagliacozzo, L.; Lewenstein, M. (2012). "Dipolar Molecules in Optical Lattices". Physical Review Letters. 108 (11): 115301. arXiv:1109.4782. Bibcode:2012PhRvL.108k5301S. doi:10.1103/PhysRevLett.108.115301. PMID 22540482. S2CID 5438190.

Tsuchiya, S.; Kurihara, S.; Kimura, T. (2004). "Superfluid–Mott insulator transition of spin-1 bosons in an optical lattice". Physical Review A. 70 (4): 043628. arXiv:cond-mat/0209676. Bibcode:2004PhRvA..70d3628T. doi:10.1103/PhysRevA.70.043628. S2CID 118566913.

Gurarie, V.; Pollet, L.; Prokof’Ev, N. V.; Svistunov, B. V.; Troyer, M. (2009). "Phase diagram of the disordered Bose-Hubbard model". Physical Review B. 80 (21): 214519. arXiv:0909.4593. Bibcode:2009PhRvB..80u4519G. doi:10.1103/PhysRevB.80.214519. S2CID 54075502.

doi.org

Gersch, H.; Knollman, G. (1963). "Quantum Cell Model for Bosons". Physical Review. 129 (2): 959. Bibcode:1963PhRv..129..959G. doi:10.1103/PhysRev.129.959.

Ma, M.; Halperin, B. I.; Lee, P. A. (1986-09-01). "Strongly disordered superfluids: Quantum fluctuations and critical behavior". Physical Review B. 34 (5): 3136–3143. Bibcode:1986PhRvB..34.3136M. doi:10.1103/PhysRevB.34.3136. PMID 9940047.

Giamarchi, T.; Schulz, H. J. (1988-01-01). "Anderson localization and interactions in one-dimensional metals". Physical Review B. 37 (1): 325–340. Bibcode:1988PhRvB..37..325G. doi:10.1103/PhysRevB.37.325. PMID 9943580.

Fisher, Matthew P. A.; Grinstein, G.; Fisher, Daniel S. (1989). "Boson localization and the superfluid-insulator transition" (PDF). Physical Review B. 40 (1): 546–70. Bibcode:1989PhRvB..40..546F. doi:10.1103/PhysRevB.40.546. PMID 9990946.,

Zapf, Vivien; Jaime, Marcelo; Batista, C. D. (2014-05-15). "Bose-Einstein condensation in quantum magnets". Reviews of Modern Physics. 86 (2): 563–614. Bibcode:2014RvMP...86..563Z. doi:10.1103/RevModPhys.86.563.

Greiner, Markus; Mandel, Olaf; Esslinger, Tilman; Hänsch, Theodor W.; Bloch, Immanuel (2002). "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms". Nature. 415 (6867): 39–44. Bibcode:2002Natur.415...39G. doi:10.1038/415039a. PMID 11780110. S2CID 4411344.

Will, S.; Best, T.; Schneider, U.; Hackermüller, L.; Lühmann, D. S. R.; Bloch, I. (2010). "Time-resolved observation of coherent multi-body interactions in quantum phase revivals". Nature. 465 (7295): 197–201. Bibcode:2010Natur.465..197W. doi:10.1038/nature09036. PMID 20463733. S2CID 4382706.

harvard.edu

ui.adsabs.harvard.edu

Gersch, H.; Knollman, G. (1963). "Quantum Cell Model for Bosons". Physical Review. 129 (2): 959. Bibcode:1963PhRv..129..959G. doi:10.1103/PhysRev.129.959.

nih.gov

pubmed.ncbi.nlm.nih.gov

semanticscholar.org

api.semanticscholar.org

worldcat.org

Sachdev, Subir (2011). Quantum phase transitions. Cambridge University Press. ISBN 9780521514682. OCLC 693207153.

Bose–Hubbard model (English Wikipedia)

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