Phase Dissipation of an Open Two-Mode Bose–Einstein Condensate
Yan-Na Li, Wei-Dong Li**
Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006
Abstract :We study the dynamics of a two-mode Bose–Hubbard model with phase dissipation, based on the master equation. An analytical solution is presented with nonzero asymmetry and phase noise. The effects of asymmetry and phase noise play a contrasting role in the dynamics. The asymmetry makes the oscillation fast, while phase noise enlarges the period. The conditions for the cases of fast decay and oscillation are presented. As a possible application, the dynamical evolution of the population for cold atomic gases with synthetic gauge interaction, which can be understood as two-mode dynamics in momentum space, is predicted.
收稿日期: 2017-02-09
出版日期: 2017-06-23
:
03.75.Kk
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
05.30.Jp
(Boson systems)
67.85.Fg
(Multicomponent condensates; spinor condensates)
74.50.+r
(Tunneling phenomena; Josephson effects)
[1] Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press) [2] Breuer H P 2004 Phys. Rev. A 69 022115 [3] Strunz W T and Yu T 2004 Phys. Rev. A 69 052115 [4] Nikola Buric 2011 Chin. Phys. B 20 120306 [5] Milburn G J, Corney J, Wright E M and Walls D F 1997 Phys. Rev. A 55 4318 [6] Smerzi A et al 1997 Phys. Rev. Lett. 79 4950 [7] Raghavan S et al 1999 Phys. Rev. A 59 620 [8] Raghavan S, Smerzi A and Kenkre V M 1999 Phys. Rev. A 60 R1787 [9] Albiez M et al 2005 Phys. Rev. Lett. 95 010402 [10] Salasnich L 1999 Phys. Rev. A 61 015601 [11] Greiner M et al 2002 Nature 415 39 [12] Cole W S et al 2012 Phys. Rev. Lett. 109 085302 [13] Anglin J R 1997 Phys. Rev. Lett. 79 6 [14] Ruostekoski J and Walls D F 1998 Phys. Rev. A 58 R50 [15] Li Yun, Castin Y and Sinatra A 2008 Phys. Rev. Lett. 100 210401 [16] Khodorkovsky Y, Kurizki G and Vardi A 2008 Phys. Rev. Lett. 100 220403 [17] Huelga S F and Plenio M B 2007 Phys. Rev. Lett. 98 170601 [18] Kraus B et al 2008 Phys. Rev. A 78 042307 [19] Diehl S et al 2008 Nat. Phys. 4 878 [20] Syassen N et al 2008 Science 320 1329 [21] Garcia-Ripoll J J et al 2009 New J. Phys. 11 013053 [22] Jia X Y, Li W D and Liang J Q 2008 Phys. Rev. A 78 023613 [23] Yang H W and Zuo W 2007 Chin. Phys. Lett. 24 620 [24] Witthaut D, Trimborn F and Wimberger S 2009 Phys. Rev. A 79 033621 [25] Wang W, Fu L B and Yi X X 2007 Phys. Rev. A 75 045601 [26] Witthaut D, Trimborn F and Wimberger S 2008 Phys. Rev. Lett. 101 200402 [27] Trimborn F, Witthaut D and Wimberger S 2008 J. Phys. B: At. Mol. Opt. Phys. 41 171001 [28] Dennis Dast et al 2016 Phys. Rev. A 94 053601 [29] Lin Y J et al 2011 Nature 471 83 [30] Zhang J Y et al 2012 Phys. Rev. Lett. 109 115301 [31] Wang P J et al 2012 Phys. Rev. Lett. 109 095301 [32] Cheuk L W et al 2012 Phys. Rev. Lett. 109 095302 [33] Gati R et al 2006 Phys. Rev. Lett. 96 130404 [34] Gati R, Esteve J et al 2006 New J. Phys. 8 189 [35] Rajagopal K K 2015 Physica A 429 231 [36] Rajagopal K K and Muniandy S V 2015 Physica A 440 118 [37] Shin Y et al 2004 Phys. Rev. Lett. 92 050405 [38] Hall B V et al 2007 Phys. Rev. Lett. 98 030402 [39] Anglin J R and Vardi A 2001 Phys. Rev. A 64 013605 [40] Widera A et al 2006 New J. Phys. 8 152 [41] Taesoo K et al 1998 Phys. Rev. A 57 4004 [42] Zhang Z X, Chen L and Bao X Y 2010 Opt. Express 18 8261 [43] Wang J N and Nie J S 2015 Proc. SPIE 9671 96711V [44] Holland M and Burnett K 1993 Phys. Rev. Lett. 71 1355
[1]
. [J]. 中国物理快报, 2022, 39(7): 70304-.
[2]
. [J]. 中国物理快报, 2022, 39(7): 76101-076101.
[3]
. [J]. 中国物理快报, 2022, 39(6): 60301-.
[4]
. [J]. 中国物理快报, 2022, 39(2): 20301-.
[5]
. [J]. 中国物理快报, 2021, 38(9): 90302-.
[6]
. [J]. 中国物理快报, 2020, 37(11): 117102-117102.
[7]
. [J]. 中国物理快报, 2019, 36(12): 124701-.
[8]
. [J]. 中国物理快报, 2019, 36(9): 90302-.
[9]
. [J]. 中国物理快报, 2018, 35(5): 50301-.
[10]
. [J]. 中国物理快报, 2018, 35(1): 10301-.
[11]
. [J]. 中国物理快报, 2016, 33(04): 40302-040302.
[12]
. [J]. 中国物理快报, 2015, 32(06): 60304-060304.
[13]
. [J]. 中国物理快报, 2015, 32(01): 10303-010303.
[14]
. [J]. 中国物理快报, 2014, 31(03): 30302-030302.
[15]
. [J]. 中国物理快报, 2014, 31(1): 10303-010303.