Nonlinear Dicke Quantum Phase Transition and Its Quantum Witness in a Cavity-Bose–Einstein-Condensate System
Wang-Jun Lu, Zhen Li, Le-Man Kuang**
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control (Ministry of Education), Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081
Abstract ：We investigate nonlinear Dicke quantum phase transition (QPT) induced by inter-atomic nonlinear interaction and its quantum witness in a cavity-Bose–Einstein-condensate (BEC) system. It is shown that inter-atomic nonlinear interaction in a cavity BEC system can induce first-order Dicke QPT. It is found that this nonlinear Dicke QPT can happen in an arbitrary coupling regime of the cavity and atoms. It is demonstrated that the quantum speed limit time can witness the Dicke QPT through its sudden change at the critical point of the QPT.
收稿日期: 2018-07-19
出版日期: 2018-10-23
:
64.70.Tg
(Quantum phase transitions)
37.30.+i
(Atoms, molecules, andions incavities)
42.50.Pq
(Cavity quantum electrodynamics; micromasers)
[1] Dicke R H 1954 Phys. Rev. 93 99 [2] Hepp K and Lieb E H 1973 Ann. Phys. (NY) 76 360 [3] Wang Y K and Hioes F T 1973 Phys. Rev. A 7 831 [4] Sachdev S 1999 Quantum Phase Transition (Cambridge: Cambridge University Press) [5] Brennecke F, Donner T, Ritter S, Bourdel T, Köhl M and Esslinger T 2007 Nature 450 268 [6] Colombe Y, Steinmetz T, Dubois G, Linke F, Hunger D and Reichel J 2007 Nature 450 272 [7] Emary C and Brandes T 2003 Phys. Rev. E 67 066203 [8] Nagy D, Kónya G, Szirmai G and Domokos P 2010 Phys. Rev. Lett. 104 130401 [9] Baumann K, Guerlin C, Brennecke F and Esslinger T 2010 Nature 464 1301 [10] Liu N, Lian J L, Ma J, Xiao L T, Chen G, Liang J Q and Jia S T 2011 Phys. Rev. A 83 033601 [11] Yuan J B and Kuang L M 2013 Phys. Rev. A 87 024101 [12] Li Y, Wang Z D and Sun C P 2006 Phys. Rev. A 74 023815 [13] Chen G, Wang X G, Liang J Q and Wang Z D 2008 Phys. Rev. A 78 023634 [14] Chen Q H, Liu T, Zhang Y Y and Wang K L 2010 Phys. Rev. A 82 053841 [15] Nagy D, Szirmai G and Domokos P 2011 Phys. Rev. A 84 043637 [16] Lu X Y, Zhu D L, Zheng L L and Wu Y 2018 Phys. Rev. A 97 033807 [17] Lu X Y, Zheng L L, Zhu D L and Wu Y 2018 Phys. Rev. Appl. 9 064006 [18] Mandelstam L and Tamm I 1945 J. Phys. USSR 9 249 [19] Margolus N and Levitin L B 1998 Physica D 120 188 [20] Levitin L B and Toffoli T 2009 Phys. Rev. Lett. 103 160502 [21] Song Y J, Tan Q S and Kuang L M 2017 Sci. Rep. 7 43654 [22] Wei Y B, Zou J, Wang Z M and Shao B 2016 Sci. Rep. 6 19308 [23] Yuan J B, Lu W J and Kuang L M 2017 Sci. Rep. 7 7404 [24] Kuang L M, Chen Z B and Pan J W 2007 Phys. Rev. A 76 052324 [25] Kuang L M and Zhou L 2003 Phys. Rev. A 68 043606 [26] Zhou D L and Kuang L M 2009 Chin. Phys. B 18 1328 [27] Guo Y and Kuang L M 2008 Chin. Phys. B 6 1179 [28] Liao J Q and Kuang L M 2007 J. Phys. B: At. Mol. Opt. Phys. 40 1845 [29] Zhang H, Chen J L and Kuang L M 2006 J. Phys. B: At. Mol. Opt. Phys. 39 11639
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
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2018, Vol. 35 
