Spontaneous symmetry breaking of a Bose–Fermi mixture in a two-dimensional double-well potential

doi:10.1088/1674-1056/21/1/010309

Abstract We study the spontaneous symmetry breaking of a superfluid Bose-Fermi mixture in a two-dimensional double-well potential. The mixture is described by a set of coupled Gross-Pitaevskii equations. The symmetry breaking phenomenon is demonstrated in the two-dimensional double-well potential in the mixture. The results are summarized in the phase diagrams of the mixture particle numbers, which are divided into symmetric and asymmetric regions by the asymmetry ratios. The dynamical pictures of the spontaneous symmetry breaking induced by a gradual transformation of the single-well potential into a double-well one are also illustrated. The properties of the quantum degenerate mixture are explored using the realistic parameters for a ⁴⁰K-⁸⁷Rb system.

Keywords: spontaneous symmetry breaking Bose-Fermi mixture double-well potential

Received: 02 August 2011
Revised: 24 August 2011
Accepted manuscript online:

PACS:	03.75.Ss	(Degenerate Fermi gases)
	03.75.Hh	(Static properties of condensates; thermodynamical, statistical, and structural properties)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10974068 and 11174108).

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Wang Yuan-Sheng(王元生), Yan Pei-Gen(颜培根), Li Bin(李彬), and Liu Xue-Shen(刘学深) Spontaneous symmetry breaking of a Bose–Fermi mixture in a two-dimensional double-well potential 2012 Chin. Phys. B 21 010309

[1]	Modugno G, Ferrari G, Roati G, Brecha R J, Simoni A and Inguscio M 2001 Science 294 1320
[2]	Caballero-Benítez S F, Ostrovskaya E A, Gulácsí M and Kivshar Y S 2009 J. Phys. B 42 215308
[3]	Goldwin J, Papp S B, DeMarco B and Jin D S 2002 Phys. Rev. A 65 021402(R)
[4]	Adhikari S K and Salasnich L 2008 Phys. Rev. A 78 043616
[5]	Hadzibabic Z, Stan C A, Dieckmann K, Gupta S, Zwierlein M W, Görlitz A and Ketterle W 2002 Phys. Rev. Lett. 88 160401
[6]	Roati G, Riboli F, Modugno G and Inguscio M 2002 Phys. Rev. Lett. 89 150403
[7]	Wang P J, Chen H X, Xiong D Z, Yu X D, Gao F and Zhang J 2008 Acta Phys. Sin. 57 4840 (in Chinese)
[8]	Hao Y J 2011 Chin. Phys. Lett. 28 010302
[9]	Chen H J, Li G Q and Xue J K 2011 Acta Phys. Sin. 60 040305 (in Chinese)
[10]	Meng S Y, Wu W, Chen X H, Zhang J and Fu L B 2011 Chin. Phys. B 20 080309
[11]	Mayteevarunyoo T, Malomed B A and Dong G 2008 Phys. Rev. A 78 053601
[12]	Nambu Y 2009 Rev. Mod. Phys. 81 1015
[13]	Gubeskys A and Malomed B A 2007 Phys. Rev. A 76 043623
[14]	Matuszewski M, Malomed B A and Trippenbach M 2007 Phys. Rev. A 75 063621
[15]	Trippenbach M, Infeld E, Gocalek J, Matuszewski M, Oberthaler M and Malomed B A 2008 Phys. Rev. A 78 013603
[16]	Mayteevarunyoo T and Malomed B A 2009 J. Opt. A: Pure Appl. Opt. 11 094015
[17]	Dror N and Malomed B A 2011 Physica D 240 526
[18]	Xiong B, Gong J, Pu H, Bao W and Li B 2009 Phys. Rev. A 79 013626
[19]	Wang C, Kevrekidis P G, Whitaker N and Malomed B A 2008 Physica D 237 2922
[20]	Adhikari S K, Lu H and Pu H 2009 Phys. Rev. A 80 063607
[21]	Sakaguchi H and Malomed B A 2011 Phys. Rev. E 83 036608
[22]	Adhikari S K, Malomed B A, Salasnich L and Toigo F 2010 Phys. Rev. A 81 053630
[23]	Salasnich L, Ancilotto F and Toigo F 2010 Laser Phys. Lett. 7 78
[24]	Adhikari S K and Salasnich L 2009 New J. Phys. 11 023011
[25]	Muruganandam P and Adhikari S K 2009 Comput. Phys. Commun. 180 1888

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Spontaneous symmetry breaking of a Bose–Fermi mixture in a two-dimensional double-well potential

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