Band Structure of Bose-Einstein Condensates in a Cavity-Mediated Triple-Well System
WANG Bin1** , CHEN Yan2
1 Institute of Theoretical Physics, Lanzhou University, Lanzhou 7300702 Department of Physical Science and Electronic Technology, Hexi University, Zhangye 734000
Abstract :We investigate the band structure and the dynamics of Bose-Einstein condensates in a triple-well trap, which are located in a high-finesse optical cavity. For the noninteracting atoms, the band structure of the eigenenergies are obtained using the numerical methods under the mean-field approximation. It is demonstrated that the energy band structure is strongly dependent on the value of reduced cavity detuning. Under some conditions, the atomic band structure develops loop structures and swallowtail structure, which mean the atom-cavity system exhibits bistability. We attribute the appearance of new states to the nonlinearity of the cavity-field-induced tilt. For the interacting atoms, the structure of the eigenenergy band appears more complicated for the interaction between atoms.
收稿日期: 2012-12-09
出版日期: 2013-03-02
:
42.50.Pq
(Cavity quantum electrodynamics; micromasers)
71.20.-b
(Electron density of states and band structure of crystalline solids)
05.45.-a
(Nonlinear dynamics and chaos)
[1] Gupta S, Moore K L, Murch K W and Stamper-Kurn D M 2007 Phys. Rev. Lett. 99 213601 [2] Brennecke F, Donner T, Ritter S, Bourdel T, K?hl M and Esslinger T 2007 Nature 450 268 Brennecke F, Ritter S, Donner T and Esslinger T 2008 Science 322 235 [3] Chen G, Wang X G, Liang J Q and Wang Z D 2008 Phys. Rev. A 78 023634 [4] Murch K W, Moore K L, Gupta S and Stamper-Kurn D M 2008 Nat. Phys. 4 561 Ritter S, Brennecke F, Baumann K, Donner T, Guerlin C and Esslinger T 2009 Appl. Phys. B 95 213 [5] Zhou L, Pu H, Ling H Y and Zhang W 2009 Phys. Rev. Lett. 103 160403 [6] Zhang J M, Liu W M and Zhou D L 2008 Phys. Rev. A 77 033620 Zhang J M, Liu W M and Zhou D L 2008 Phys. Rev. A 78 043618 Zhang J M, Cui F C, Zhou D L and Liu W M 2009 Phys. Rev. A 79 033401 [7] Chen W and Meystre P 2009 Phys. Rev. A 79 043801 [8] Larson J and Martikainen J P 2010 Phys. Rev. A 82 033606 [9] Graefe E M, Korsch H J and Witthaut D 2006 Phys. Rev. A 73 013617 [10] Liu B, Fu L B, Yang S P and Liu J 2007 Phys. Rev. A 75 033601 [11] Lu G, Hai W and Xie Q 2011 Phys. Rev. A 83 013407 [12] Wu B and Niu Q 2001 Phys. Rev. A 64 061603 Wu B, Diener R B and Niu Q 2002 Phys. Rev. A 65 025601 [13] Smerzi A, Trombettoni A, Kevrekidis P G and Bishop A R 2002 Phys. Rev. Lett. 89 170402 [14] Albiez M, Gati R, Folling J, Hunsmann S, Cristiani M and Oberthaler M K 2005 Phys. Rev. Lett. 95 010402 [15] Levy S, Lahoud E, Shomroni I and Steinhauer J 2007 Nature 449 579 [16] Shin Y, Saba M, Pasquini T A, Ketterle W, Pritchard D E and Leanhardt A E 2004 Phys. Rev. Lett. 92 050405 [17] Haroche S, Brune M and Raimond J M 1991 Europhys. Lett. 14 19 [18] Liu J, Wu B and Niu Q 2003 Phys. Rev. Lett. 90 170404
[1]
. [J]. 中国物理快报, 2023, 40(2): 20502-.
[2]
. [J]. 中国物理快报, 2022, 39(12): 124202-.
[3]
. [J]. 中国物理快报, 2021, 38(9): 94203-.
[4]
. [J]. 中国物理快报, 2021, 38(4): 44201-.
[5]
. [J]. 中国物理快报, 2020, 37(2): 20302-.
[6]
. [J]. 中国物理快报, 2019, 36(7): 70302-.
[7]
. [J]. 中国物理快报, 2019, 36(3): 34204-.
[8]
. [J]. 中国物理快报, 2018, 35(11): 116401-.
[9]
. [J]. 中国物理快报, 2017, 34(1): 13701-013701.
[10]
. [J]. 中国物理快报, 2016, 33(07): 74204-074204.
[11]
. [J]. 中国物理快报, 2016, 33(01): 14202-014202.
[12]
. [J]. 中国物理快报, 2015, 32(10): 104210-104210.
[13]
. [J]. 中国物理快报, 2015, 32(10): 107804-107804.
[14]
. [J]. 中国物理快报, 2015, 32(06): 60303-060303.
[15]
. [J]. 中国物理快报, 2015, 32(4): 40303-040303.