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By using the imaginary-time propagation method, we study the ground state structure of a two-component dipolar Bose-Einstein condensate confined in a coupled annular potential. The effects of contact and dipole-dipole interaction on the ground state density distribution of such a system are investigated in detail. The results show that the dipole-dipole interaction, acting as a new degree of freedom, can be used to obtain the desired ground state phases, and to control the phase transition between different ground states.
[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2] Bradley C C, Sackett C A, Tollet J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[3] Davis K B, Mewes M O, Andrews M R, VanDruten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4] Inouye S, Andrews M, Stenger J, Miesner H, Stamper-Kurn D, Ketterle W 1998 Nature 392 151
[5] Kevrekidis P G, Theocharis G, Frantzeskakis D J, Malomed B A 2003 Phys. Rev. Lett. 90 230401
[6] Merhasin I, Malomed B A, Driben R 2005 J. Phys. B 38 877
[7] Kawaguchi Y, Saito H, Ueda M 2006 Phys. Rev. Lett. 97 130404
[8] Takahashi M, Ghosh S, Mizushima T, Machida K 2007 Phys. Rev. Lett. 98 260403
[9] Kawaguchi Y, Saito H, Ueda M 2007 Phys. Rev. Lett. 98 110406
[10] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[11] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[12] Shi T, Zou S H, Hu H, Sun C P, Yi S 2013 Phys. Rev. Lett. 110 045301
[13] Stuhler J, Griesmaier A, Koch T, Fattori M, Pfau T, Giovanazzi S, Pedri P, Santos L 2005 Phys. Rev. Lett. 95 150406
[14] Griesmaier A, Werner J, Hensler S, Stuhler J, Pfau T 2005 Phys. Rev. Lett. 94 160401
[15] Pollack S E, Dries D, Junker M, Chen Y P, Corcovilos T A, Hulet R G 2009 Phys. Rev. Lett. 102 090402
[16] McClelland J J, Hanssen J L 2006 Phys. Rev. Lett. 96 143005
[17] Aikawa K, Frisch A, Mark M, Baier S, Rietzler A, Grimm R, Ferlaino F 2012 Phys. Rev. Lett. 108 210401
[18] Lu M W, Youn S H, Lev B L 2010 Phys. Rev. Lett. 104 063001
[19] Lu M W, Burdick N Q, Youn S H, Lev B L 2011 Phys. Rev. Lett. 107 190401
[20] Martikainen J P, Mackie M, Suominen K A 2001 Phys. Rev. A 64 037601
[21] Góral K, Santos L 2002 Phys. Rev. A 66 023613
[22] Shirley W E, Anderson B M, Clark C W, Wilson R M 2014 Phys. Rev. Lett. 113 165301
[23] Góral K, Santos L, Lewenstein M 2002 Phys. Rev. Lett. 88 170406
[24] Mller S, Billy J, Henn E A L, Kadau H, Griesmaier A, Jona-Lasinio M, Santos L, Pfau T 2011 Phys. Rev. A 84 053601
[25] Huang J S, Chen H F, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese) [黄劲松, 陈海峰, 谢征微 2008 57 3435]
[26] Khn S, Judd T E 2013 Phys. Rev. A 87 023608
[27] Situ S P, He Y Z 2011 Chin. Phys. B 20 010310
[28] Xiong B, Gong J, Pu H, Bao W, Li B 2009 Phys. Rev. A 79 013626
[29] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 56 4348]
[30] Abad M, Guilleumas M, Mayol R, Pi M, Jezeket D M 2010 Phys. Rev. A 81 043619
[31] Abad M, Guilleumas M, Mayo R, Pi M, Jezeket D M 2011 Europhys. Lett. 94 10004
[32] Zöllner S, Bruun G M, Pethick C J, Reimann S M 2011 Phys. Rev. Lett. 107 035301
[33] Malet F, Kristensen T, Reimann S M, Kavoulakis G M 2011 Phys. Rev. A 83 033628
[34] Malet F, Kavoulakis G M, Reimann S M 2011 Phys. Rev. A 84 043626
[35] Karabulut E Ö, Malet F, Kavoulakis G M, Reimann S M 2013 Phys. Rev. A 87 033615
[36] Zhang Y C, Wang H T, Shen S Q 2013 Chin. Phys. B 22 090501
[37] Zhang J, Zhai H 2006 Physics 35 553 (in Chinese) [张剑, 翟荟 2006 物理 35 553]
[38] Wu J H, Xu S N 2013 Chin. Phys. B 22 120304
[39] Cai Y, Rosenkranz M, Lei Z, Bao W 2010 Phys. Rev. A 82 043623
[40] Lahaye T, Menotti C, Santos L, Lewenstein M, Pfau T 2009 Rep. Prog. Phys. 72 126401
[41] Malet F, Kavoulakis G M, Reimann S M 2010 Phys. Rev. A 81 013630
[42] Wang X, Tan R B, Du Z J, Zhao W Y, Zhang X F, Zhang S G 2014 Chin. Phys. B 23 070308
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[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2] Bradley C C, Sackett C A, Tollet J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[3] Davis K B, Mewes M O, Andrews M R, VanDruten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4] Inouye S, Andrews M, Stenger J, Miesner H, Stamper-Kurn D, Ketterle W 1998 Nature 392 151
[5] Kevrekidis P G, Theocharis G, Frantzeskakis D J, Malomed B A 2003 Phys. Rev. Lett. 90 230401
[6] Merhasin I, Malomed B A, Driben R 2005 J. Phys. B 38 877
[7] Kawaguchi Y, Saito H, Ueda M 2006 Phys. Rev. Lett. 97 130404
[8] Takahashi M, Ghosh S, Mizushima T, Machida K 2007 Phys. Rev. Lett. 98 260403
[9] Kawaguchi Y, Saito H, Ueda M 2007 Phys. Rev. Lett. 98 110406
[10] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[11] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[12] Shi T, Zou S H, Hu H, Sun C P, Yi S 2013 Phys. Rev. Lett. 110 045301
[13] Stuhler J, Griesmaier A, Koch T, Fattori M, Pfau T, Giovanazzi S, Pedri P, Santos L 2005 Phys. Rev. Lett. 95 150406
[14] Griesmaier A, Werner J, Hensler S, Stuhler J, Pfau T 2005 Phys. Rev. Lett. 94 160401
[15] Pollack S E, Dries D, Junker M, Chen Y P, Corcovilos T A, Hulet R G 2009 Phys. Rev. Lett. 102 090402
[16] McClelland J J, Hanssen J L 2006 Phys. Rev. Lett. 96 143005
[17] Aikawa K, Frisch A, Mark M, Baier S, Rietzler A, Grimm R, Ferlaino F 2012 Phys. Rev. Lett. 108 210401
[18] Lu M W, Youn S H, Lev B L 2010 Phys. Rev. Lett. 104 063001
[19] Lu M W, Burdick N Q, Youn S H, Lev B L 2011 Phys. Rev. Lett. 107 190401
[20] Martikainen J P, Mackie M, Suominen K A 2001 Phys. Rev. A 64 037601
[21] Góral K, Santos L 2002 Phys. Rev. A 66 023613
[22] Shirley W E, Anderson B M, Clark C W, Wilson R M 2014 Phys. Rev. Lett. 113 165301
[23] Góral K, Santos L, Lewenstein M 2002 Phys. Rev. Lett. 88 170406
[24] Mller S, Billy J, Henn E A L, Kadau H, Griesmaier A, Jona-Lasinio M, Santos L, Pfau T 2011 Phys. Rev. A 84 053601
[25] Huang J S, Chen H F, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese) [黄劲松, 陈海峰, 谢征微 2008 57 3435]
[26] Khn S, Judd T E 2013 Phys. Rev. A 87 023608
[27] Situ S P, He Y Z 2011 Chin. Phys. B 20 010310
[28] Xiong B, Gong J, Pu H, Bao W, Li B 2009 Phys. Rev. A 79 013626
[29] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 56 4348]
[30] Abad M, Guilleumas M, Mayol R, Pi M, Jezeket D M 2010 Phys. Rev. A 81 043619
[31] Abad M, Guilleumas M, Mayo R, Pi M, Jezeket D M 2011 Europhys. Lett. 94 10004
[32] Zöllner S, Bruun G M, Pethick C J, Reimann S M 2011 Phys. Rev. Lett. 107 035301
[33] Malet F, Kristensen T, Reimann S M, Kavoulakis G M 2011 Phys. Rev. A 83 033628
[34] Malet F, Kavoulakis G M, Reimann S M 2011 Phys. Rev. A 84 043626
[35] Karabulut E Ö, Malet F, Kavoulakis G M, Reimann S M 2013 Phys. Rev. A 87 033615
[36] Zhang Y C, Wang H T, Shen S Q 2013 Chin. Phys. B 22 090501
[37] Zhang J, Zhai H 2006 Physics 35 553 (in Chinese) [张剑, 翟荟 2006 物理 35 553]
[38] Wu J H, Xu S N 2013 Chin. Phys. B 22 120304
[39] Cai Y, Rosenkranz M, Lei Z, Bao W 2010 Phys. Rev. A 82 043623
[40] Lahaye T, Menotti C, Santos L, Lewenstein M, Pfau T 2009 Rep. Prog. Phys. 72 126401
[41] Malet F, Kavoulakis G M, Reimann S M 2010 Phys. Rev. A 81 013630
[42] Wang X, Tan R B, Du Z J, Zhao W Y, Zhang X F, Zhang S G 2014 Chin. Phys. B 23 070308
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