Phase Dissipation of an Open Two-Mode Bose–Einstein Condensate
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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. -
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References
[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 doi: 10.1103/PhysRevA.69.022115[3] Strunz W T and Yu T 2004 Phys. Rev. A 69 052115 doi: 10.1103/PhysRevA.69.052115[4] Nikola Buric 2011 Chin. Phys. B 20 120306 doi: 10.1088/1674-1056/20/12/120306[5] Milburn G J, Corney J, Wright E M and Walls D F 1997 Phys. Rev. A 55 4318 doi: 10.1103/PhysRevA.55.4318[6] Smerzi A et al. 1997 Phys. Rev. Lett. 79 4950 doi: 10.1103/PhysRevLett.79.4950[7] Raghavan S et al. 1999 Phys. Rev. A 59 620 doi: 10.1103/PhysRevA.59.620[8] Raghavan S, Smerzi A and Kenkre V M 1999 Phys. Rev. A 60 R1787 doi: 10.1103/PhysRevA.60.R1787[9] Albiez M et al. 2005 Phys. Rev. Lett. 95 010402 doi: 10.1103/PhysRevLett.95.010402[10] Salasnich L 1999 Phys. Rev. A 61 015601 doi: 10.1103/PhysRevA.61.015601[11] Greiner M et al. 2002 Nature 415 39 doi: 10.1038/415039a[12] Cole W S et al. 2012 Phys. Rev. Lett. 109 085302 doi: 10.1103/PhysRevLett.109.085302[13] Anglin J R 1997 Phys. Rev. Lett. 79 6 doi: 10.1103/PhysRevLett.79.6[14] Ruostekoski J and Walls D F 1998 Phys. Rev. A 58 R50 doi: 10.1103/PhysRevA.58.R50[15] Li Yun, Castin Y and Sinatra A 2008 Phys. Rev. Lett. 100 210401 doi: 10.1103/PhysRevLett.100.210401[16] Khodorkovsky Y, Kurizki G and Vardi A 2008 Phys. Rev. Lett. 100 220403 doi: 10.1103/PhysRevLett.100.220403[17] Huelga S F and Plenio M B 2007 Phys. Rev. Lett. 98 170601 doi: 10.1103/PhysRevLett.98.170601[18] Kraus B et al. 2008 Phys. Rev. A 78 042307 doi: 10.1103/PhysRevA.78.042307[19] Diehl S et al. 2008 Nat. Phys. 4 878 doi: 10.1038/nphys1073[20] Syassen N et al. 2008 Science 320 1329 doi: 10.1126/science.1155309[21] Garcia-Ripoll J J et al. 2009 New J. Phys. 11 013053 doi: 10.1088/1367-2630/11/1/013053[22] Jia X Y, Li W D and Liang J Q 2008 Phys. Rev. A 78 023613 doi: 10.1103/PhysRevA.78.023613[23] Yang H W and Zuo W 2007 Chin. Phys. Lett. 24 620 doi: 10.1088/0256-307X/24/3/010[24] Witthaut D, Trimborn F and Wimberger S 2009 Phys. Rev. A 79 033621 doi: 10.1103/PhysRevA.79.033621[25] Wang W, Fu L B and Yi X X 2007 Phys. Rev. A 75 045601 doi: 10.1103/PhysRevA.75.045601[26] Witthaut D, Trimborn F and Wimberger S 2008 Phys. Rev. Lett. 101 200402 doi: 10.1103/PhysRevLett.101.200402[27] Trimborn F, Witthaut D and Wimberger S 2008 J. Phys. B: At. Mol. Opt. Phys. 41 171001 doi: 10.1088/0953-4075/41/17/171001[28] Dennis Dast et al. 2016 Phys. Rev. A 94 053601 doi: 10.1103/PhysRevA.94.053601[29] Lin Y J et al. 2011 Nature 471 83 doi: 10.1038/nature09887[30] Zhang J Y et al. 2012 Phys. Rev. Lett. 109 115301 doi: 10.1103/PhysRevLett.109.115301[31] Wang P J et al. 2012 Phys. Rev. Lett. 109 095301 doi: 10.1103/PhysRevLett.109.095301[32] Cheuk L W et al. 2012 Phys. Rev. Lett. 109 095302 doi: 10.1103/PhysRevLett.109.095302[33] Gati R et al. 2006 Phys. Rev. Lett. 96 130404 doi: 10.1103/PhysRevLett.96.130404[34] Gati R, Esteve J et al. 2006 New J. Phys. 8 189 doi: 10.1088/1367-2630/8/9/189[35] Rajagopal K K 2015 Physica A 429 231 doi: 10.1016/j.physa.2015.02.059[36] Rajagopal K K and Muniandy S V 2015 Physica A 440 118 doi: 10.1016/j.physa.2015.08.018[37] Shin Y et al. 2004 Phys. Rev. Lett. 92 050405 doi: 10.1103/PhysRevLett.92.050405[38] Hall B V et al. 2007 Phys. Rev. Lett. 98 030402 doi: 10.1103/PhysRevLett.98.030402[39] Anglin J R and Vardi A 2001 Phys. Rev. A 64 013605 doi: 10.1103/PhysRevA.64.013605[40] Widera A et al. 2006 New J. Phys. 8 152 doi: 10.1088/1367-2630/8/8/152[41] Taesoo K et al. 1998 Phys. Rev. A 57 4004 doi: 10.1103/PhysRevA.57.4004[42] Zhang Z X, Chen L and Bao X Y 2010 Opt. Express 18 8261 doi: 10.1364/OE.18.008261[43] Wang J N and Nie J S 2015 Proc. SPIE 9671 96711V doi: 10.1117/12.2202903[44] Holland M and Burnett K 1993 Phys. Rev. Lett. 71 1355 doi: 10.1103/PhysRevLett.71.1355