Abstract
Ultracold atoms in optical lattices have been celebrated as the representative of the quantum simulator, which is a subcategory of a quantum computer that can solve many-body quantum problems. The system is made of ultracold quantum gases and defect-free light crystals, mimicking the behavior of electrons in a solid-state material. It provides unprecedented tunability of experimental parameters, such as the interaction between particles, dimensions, and disorder, and offers direct accessibility of the many-body quantum state through the measurement of correlation functions. It is an ideal experimental platform to realize exotic Hamiltonian like the Haldane model and to study non-equilibrium dynamics because of its high degrees of isolation from environmental noise. In this article, I review a short history of how the field comes up with the idea of a quantum simulator, the state-of-the-art quantum techniques, and future outlooks.
Similar content being viewed by others
References
M. Greiner et al., Nature 415, 39 (2002)
D. Jaksch et al., Phys. Rev. Lett. 81, 3108 (1998)
C. Chin et al., Rev. Mod. Phys. 82, 1225 (2010)
M. Anderson et al., Science 269, 5221 (1995)
K.B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995)
I. Bloch, Nat. Phys. 1, 23 (2005)
A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)
I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)
M. Greiner et al., Phys. Rev. Lett. 87, 160405 (2001)
S. Fölling et al., Nature 448, 1029 (2007)
M.B. Dahan et al., Phys. Rev. Lett. 76, 4508 (1996)
M. Greiner et al., Nature 419, 51 (2002)
W. Ketterle and M. W. Zwierlein Proceedings of the International School of Physics “Enrico Fermi”, Course CLXIV, Varenna (2006).
R. Jördens et al., Nature 455, 204 (2008)
U. Schneider et al., Science 322, 1520 (2008)
D. Greif et al., Science 351, 953 (2016)
G. Jotzu et al., Nature 515, 237 (2014)
Scientific background: topological phase transitions and topological phases of matter, by Royal Swedish Academy of Sciences (2016). https://www.nobelprize.org/uploads/2018/06/advanced-physicsprize2016.pdf
M. Aidelsburger et al., Phys. Rev. Lett. 107, 255301 (2011)
M. Aidelsburger et al., Phys. Rev. Lett. 111, 185301 (2013)
H. Miyake et al., Phys. Rev. Lett. 111, 185302 (2013)
M. Aidelsburger et al., Nat. Phys. 11, 162 (2015)
L. Duca et al., Science 347, 288 (2014)
T. Li et al., Science 352, 1094 (2014)
W.S. Bakr et al., Nature 462, 74 (2009)
J.F. Sherson et al., Nature 467, 68 (2010)
W.S. Bakr et al., Science 329, 547 (2010)
D.J. Wineland, J. Dalibard, C. Cohen-Tannoudji, Opt. Soc. Am. B 9, 32 (1992)
M. Endres et al., Science 334, 6053 (2011)
J. Simon et al., Nature 472, 307 (2011)
W.S. Bakr et al., Nature 480, 500 (2011)
M. Cheneau et al., Nature 481, 484 (2012)
M. Endres et al., Nature 487, 454 (2012)
C. Weitenberg et al., Nature 471, 319 (2011)
P.M. Preiss et al., Science 347, 1229 (2015)
T. Fukuhara et al., Nat. Phys. 9, 235 (2013)
T. Fukuhara et al., Nature 502, 76 (2013)
T. Fukuhara et al., Phys. Rev. Lett. 115, 035302 (2015)
M. Schreiber et al., Science 349, 842 (2015)
J.-Y. Choi et al., Science 351, 1547 (2016)
P.W. Anderson, Phys. Rev. 109, 1492 (1958)
D.M. Basko, I.L. Aleiner, B.L. Altshuler, Ann. Phys. 321, 1126 (2006)
V. Oganesyan, D.A. Huse, Phys. Rev. B 75, 155111 (2007)
I.L. Aleiner, B.L. Altshuler, G.V. Shlyapnikov, Nat. Phys. 6, 900 (2010)
R. Nandkishore, D.A. Huse, Annu. Rev. Condens. Matter Phys. 6, 15 (2015)
E. Altman, R. Vosk, Annu. Rev. Condens. Matter Phys. 6, 383 (2015)
M. Serbyn, Z. Papić, D.A. Abanin, Phys. Rev. Lett. 111, 127201 (2013)
D.A. Huse, R. Nandkishore, V. Oganesyan, Phys. Rev. B 90, 174202 (2014)
J.Z. Imbrie, Phys. Rev. Lett. 117, 027201 (2016)
W. De Roeck, F. Huveneers, Phys. Rev. B 95, 155129 (2017)
T.B. Wahl, A. Pal, S.H. Simon, Nat. Phys. 15, 164 (2019)
M.F. Parsons et al., Phys. Rev. Lett. 114, 213002 (2015)
A. Omran et al., Phys. Rev. Lett. 115, 263001 (2015)
L.W. Cheuk et al., Phys. Rev. Lett. 114, 193001 (2015)
E. Haller et al., Nat. Phys. 11, 738 (2015)
G.J.A. Edge et al., Phys. Rev. A 92, 063406 (2015)
R.A. Hart et al., Nature 519, 211 (2015)
M.F. Parsons et al., Science 353, 1253 (2016)
M. Boll et al., Science 353, 1257 (2016)
L.W. Cheuk et al., Science 353, 1260 (2016)
P. Brown et al., Science 357, 1385 (2017)
T.-L. Ho and Q. Zhou, arXiv:0911.5506. (2009)
A. Mazurenko et al., Nature 545, 462 (2017)
C.S. Chiu et al., Phys. Rev. Lett. 120, 243201 (2018)
D.J. Thouless, Phys. Rev. B 27, 6083 (1983)
M. Lohse et al., Nat. Phys. 12, 350 (2016)
S. Nakajima et al., Nat. Phys. 12, 296 (2016)
J. Koepsell et al., Phys. Rev. Lett. 125, 010403 (2020)
T. Hartke et al., Phys. Rev. Lett. 125, 113x601 (2020).
J.T. Stewart et al., Nature 454, 744 (2008)
P. Brown et al., Nat. Phys. 16, 26 (2020)
J. Koepsell et al., Nature 572, 358 (2019)
G. Ji et al., Phys. Rev. X 11, 021022 (2019)
J. Koepsell et al., Science 374, 82 (2021)
P. Brown et al., Science 363, 379 (2019)
M.A. Nichols et al., Science 363, 383 (2019)
J. Vijayan et al., Science 367, 186 (2020)
E. Guardado-Sanchez et al., Phys. Rev. X 10, 011042 (2020)
G.-B. Jo et al., Phys. Rev. Lett. 108, 042305 (2012)
S. Taie et al., Sci. Adv. 1, e1500854 (2015)
M. Lu et al., Phys. Rev. Lett. 107, 190401 (2011)
K. Aikawa et al., Phys. Rev. Lett. 108, 210401 (2012)
H. Kim et al., Nat. Comm. 7, 13317 (2016)
D. Barredo et al., Science 354, 1021 (2016)
M. Endres et al., Science 354, 1024 (2016)
M.S. Benjamin et al., Phys. Rev. Lett. 128, 223202 (2022)
Z.Z. Yan et al., Phys. Rev. Lett. 129, 123201 (2022)
A.W. Young et al., Science 377, 885 (2022)
A.J. Daley et al., Nature 607, 667 (2022)
E. Bairey et al., Phys. Rev. Lett. 122, 020504 (2019)
Z. Li et al., Phys. Rev. Lett. 124, 160502 (2020)
J. Carrasco et al., PRX Quantum. 2, 010102 (2021)
W.-Y. Zhang et al., arXiv:2210.02936 (2022).
R. Raussendorf, H.J. Briegel, Phys. Rev. Lett. 86, 5188 (2001)
R. Raussendorf, D.E. Browne, H.J. Briegel, Phys. Rev. A 68, 022312 (2003)
Acknowledgements
The author gratefully acknowledges the support by grant from National Research Foundation (NRF) 2019M3E4A1080401 and 2020R1C1C1010863, and KAIST UP program.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors state that they have no known financial interests or personal relationships that could have influenced the work reported in this paper in any way that could be perceived as a competing interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Choi, Jy. Quantum simulations with ultracold atoms in optical lattices: past, present and future. J. Korean Phys. Soc. 82, 875–881 (2023). https://doi.org/10.1007/s40042-023-00777-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40042-023-00777-y