SU(3) spin-orbit-coupled Bose-Einstein condensate confined in a harmonic plus quartic trap

doi:10.1088/1674-1056/28/7/070302

摘要/Abstract

摘要：

We consider a SU(3) spin-orbit coupled Bose-Einstein condensate confined in a harmonic plus quartic trap. The ground-state wave functions of such a system are obtained by minimizing the Gross-Pitaevskii energy functional, and the effects of the spin-dependent interaction and spin-orbit coupling are investigated in detail. For the case of ferromagnetic spin interaction, the SU(3) spin-orbit coupling induces a threefold-degenerate plane wave ground state with nontrivial spin texture. For the case of antiferromagnetic spin interaction, the system shows phase separation for weak SU(3) spin-orbit coupling, where three discrete minima with unequal weights in momentum space are selected, while hexagonal honeycomb lattice structure for strong SU(3) SOC, where three discrete minima with equal weights are selected.

关键词: Bose-Einstein condensate, SU(3) spin-orbit coupling, Gross-Pitaevskii equation

Abstract:

Key words: Bose-Einstein condensate, SU(3) spin-orbit coupling, Gross-Pitaevskii equation

中图分类号: (Multicomponent condensates; spinor condensates)

03.75.Mn

05.45.Yv (Solitons) 05.30.Jp (Boson systems) 05.30.Rt (Quantum phase transitions)

李昊, 陈方林. SU(3) spin-orbit-coupled Bose-Einstein condensate confined in a harmonic plus quartic trap[J]. 中国物理B, 2019, 28(7): 70302-070302.

Hao Li(李昊), Fanglin Chen(陈方林). SU(3) spin-orbit-coupled Bose-Einstein condensate confined in a harmonic plus quartic trap[J]. Chin. Phys. B, 2019, 28(7): 70302-070302.

参考文献 53

[33]	Chen G P, Chen S L, Xie Z W, Zhang X F and Zhang S G 2016 Commun. Theor. Phys. 66 53 doi: 10.1088/0253-6102/66/1/053
[1]	Pethick C J and Smith H 2008 Bose-Einstein Condensation in Dilute Gases (Cambridge: Cambridge University Press)
[34]	Wu C, Mondragon-Shem I and Zhou X F 2011 Chin. Phys. Lett. 28 097102 doi: 10.1088/0256-307X/28/9/097102
[35]	Sinha S, Nath R and Santos L 2011 Phys. Rev. Lett. 107 270401 doi: 10.1103/PhysRevLett.107.270401
[2]	Ueda M 2010 Fundamentals and New Frontiers of Bose-Einstein Condensation (Singapore: World Scientific Press)
[36]	Kawakami T, Mizushima T, Nitta M and Machida K 2012 Phys. Rev. Lett. 109 015301 doi: 10.1103/PhysRevLett.109.015301
[3]	Lin Y J, Compton R L, Jiménez-García K, Porto J V, and Spielman I B 2009 Nature 462 628 doi: 10.1038/nature08609
[37]	Achilleos V, Frantzeskakis D J, Kevrekidis P G and Pelinovsky D E 2013 Phys. Rev. Lett. 110 264101 doi: 10.1103/PhysRevLett.110.264101
[4]	Fu Z, Huang L, Meng Z, Wang P, Zhang L, Zhang S, Zhai H, Zhang P and Zhang J 2014 Nat. Phys. 10 110 doi: 10.1038/nphys2824
[38]	Lobanov V E, Kartashov Y V and Konotop V V 2014 Phys. Rev. Lett. 112 180403 doi: 10.1103/PhysRevLett.112.180403
[5]	Lin Y J, Jiménez-García K and Spielman I B 2011 Nature 471 83 doi: 10.1038/nature09887
[39]	Zhang Y, Zhou Z, Malomed B A and Pu H 2015 Phys. Rev. Lett. 115 253902 doi: 10.1103/PhysRevLett.115.253902
[6]	Lin Y J, Compton R L, Jiménez-García K, Phillips W D, Porto J V and Spielman I B 2011 Nat. Phys. 7 531 doi: 10.1038/nphys1954
[40]	Sakaguchi H and Malomed B A 2014 Phys. Rev. E 90 062922 doi: 10.1103/PhysRevE.90.062922
[7]	Wang C, Gao C, Jian C M and Zhai H 2010 Phys. Rev. Lett. 105 160403 doi: 10.1103/PhysRevLett.105.160403
[41]	Sakaguchi H and Malomed B A 2016 New J. Phys. 18 025020 doi: 10.1088/1367-2630/18/2/025020
[8]	Ho T L and Zhang S 2011 Phys. Rev. Lett. 107 150403 doi: 10.1103/PhysRevLett.107.150403
[42]	Kartashov Y V and Konotop V V 2017 Phys. Rev. Lett. 118 190401 doi: 10.1103/PhysRevLett.118.190401
[9]	Wang P, Yu Z Q, Fu Z, Miao J, Huang L, Chai S, Zhai H and Zhang J 2012 Phys. Rev. Lett. 109 095301 doi: 10.1103/PhysRevLett.109.095301
[43]	Gra? T, Chhajlany R W, Muschik C A and Lewenstein M 2014 Phys. Rev. B 90 195127 doi: 10.1103/PhysRevB.90.195127
[10]	Anderson B M, Juzeliūnas G, Galitski V M and Spielman I B 2012 Phys. Rev. Lett. 108 235301 doi: 10.1103/PhysRevLett.108.235301
[44]	Barnett R, Boyd G R and Galitski V 2012 Phys. Rev. Lett. 109 235308 doi: 10.1103/PhysRevLett.109.235308
[11]	Huang L, Meng Z, Wang P, Peng P, Zhang S L, Chen L, Li D, Zhou Q and Zhang J 2016 Nat. Phys. 12 540 doi: 10.1038/nphys3672
[45]	Bornheimer U, Miniatura C and Grémaud B 2018 Phys. Rev. A 98 043614 doi: 10.1103/PhysRevA.98.043614
[12]	Meng Z M, Huang L H, Peng P, Li D H, Chen L C, Xu Y, Zhang C, Wang P and Zhang J 2016 Phys. Rev. Lett. 117 235304 doi: 10.1103/PhysRevLett.117.235304
[46]	Han W, Zhang X F, Song S W, Saito H, Zhang W, Liu W M and Zhang S G 2016 Phys. Rev. A 94 033629 doi: 10.1103/PhysRevA.94.033629
[13]	Ji S C, Zhang J Y, Zhang L, Du Z D, Zheng W, Deng Y J, Zhai H, Chen S and Pan J W 2014 Nat. Phys. 10 314 doi: 10.1038/nphys2905
[47]	Kawaguchi Y and Ueda M 2012 Phys. Rep. 520 253 doi: 10.1016/j.physrep.2012.07.005
[14]	Wu Z, Zhang L, Sun W, Xu X T, Wang B Z, Ji S C, Deng Y, Chen S, Liu X J and Pan J W 2016 Science 354 83 doi: 10.1126/science.aaf6689
[48]	Stamper-Kurn D M and Ueda M 2013 Rev. Mod. Phys. 85 1191 doi: 10.1103/RevModPhys.85.1191
[15]	Li Y E and Xue J K 2016 Chin. Phys. Lett. 33 100502 doi: 10.1088/0256-307X/33/10/100502
[49]	Arfken G B, Weber H J and Harris F E 2000 Mathematical Methods for Physicists (Elsevier: Academic Press)
[16]	Li J and Liu W M 2018 Acta Phys. Sin. 67 110302 (in Chinese)
[50]	Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in Fortran 77 (Cambridge: Cambridge University Press)
[17]	Yu Z Q and He L 2017 Acta Phys. Sin. 66 220301 (in Chinese)
[51]	Bao W Z, Jaksch D and Markowich P 2003 J. Comput. Phys. 187 318 doi: 10.1016/S0021-9991(03)00102-5
[18]	Zhang H, Chen F, Yu C, Sun L and Xu D 2017 Chin. Phys. B 26 080304 doi: 10.1088/1674-1056/26/8/080304
[52]	Zhang Y, Mao L and Zhang C 2012 Phys. Rev. Lett. 108 035302 doi: 10.1103/PhysRevLett.108.035302
[19]	Wen L, Sun Q, Chen Y, Wang D S, Hu J, Chen H, Liu W M, Juzeliūnas G, Malomed B A and Ji A C 2016 Phys. Rev. A 94 061602 doi: 10.1103/PhysRevA.94.061602
[53]	Wen L, Sun Q, Wang H Q, Ji A C and Liu W M 2012 Phys. Rev. A 86 043602 doi: 10.1103/PhysRevA.86.043602
[20]	Wen L, Zhang X F, Hu A Y, Zhou J, Yu P, Xia L, Sun Q and Ji A C 2018 Anns. Phys. 390 181
[21]	Dalibard J, Gerbier F, Juzeliūnas F and Öhberg P 2011 Rev. Mod. Phys. 83 1523 doi: 10.1103/RevModPhys.83.1523
[22]	Goldman N, Juzeliūnas G, Öhberg P and Spielman I B 2014 Rep. Prog. Phys. 77 126401 doi: 10.1088/0034-4885/77/12/126401
[23]	Zhai H 2015 Rep. Prog. Phys. 78 026001 doi: 10.1088/0034-4885/78/2/026001
[24]	Hu H, Ramachandhran B, Pu H and Liu X J 2012 Phys. Rev. Lett. 108 010402 doi: 10.1103/PhysRevLett.108.010402
[25]	Zhang X F, Dong D F, Liu T, Liu W M and Zhang S G 2012 Phys. Rev. A 86 063628 doi: 10.1103/PhysRevA.86.063628
[26]	Zhang X F, Kato M, Han W, Zhang S G and Saito H 2017 Phys. Rev. A 95 033620 doi: 10.1103/PhysRevA.95.033620
[27]	Sinha S and Shlyapnikov G V 2005 Phys. Rev. Lett. 94 150401 doi: 10.1103/PhysRevLett.94.150401
[28]	Sánchez-Lotero P and Palacios J J 2005 Phys. Rev. A 72 043613 doi: 10.1103/PhysRevA.72.043613
[29]	Matveenko S I, Kovrizhin D, Ouvry S and Shlyapnikov G V 2009 Phys. Rev. A 80 063621 doi: 10.1103/PhysRevA.80.063621
[30]	Huang C C, Liu C H and Wu W C 2010 Phys. Rev. A 81 043605 doi: 10.1103/PhysRevA.81.043605
[31]	Hsueh C H, Horng T L, Gou S C and Wu W C 2011 Phys. Rev. A 84 023610 doi: 10.1103/PhysRevA.84.023610
[32]	Chen G P, Zhang Z Y, Dong B, Wang L X, Zhang X F and Zhang S G 2015 Phys. Lett. A 379 2193 doi: 10.1016/j.physleta.2015.06.062
[33]	Chen G P, Chen S L, Xie Z W, Zhang X F and Zhang S G 2016 Commun. Theor. Phys. 66 53 doi: 10.1088/0253-6102/66/1/053
[34]	Wu C, Mondragon-Shem I and Zhou X F 2011 Chin. Phys. Lett. 28 097102 doi: 10.1088/0256-307X/28/9/097102
[35]	Sinha S, Nath R and Santos L 2011 Phys. Rev. Lett. 107 270401 doi: 10.1103/PhysRevLett.107.270401
[36]	Kawakami T, Mizushima T, Nitta M and Machida K 2012 Phys. Rev. Lett. 109 015301 doi: 10.1103/PhysRevLett.109.015301
[37]	Achilleos V, Frantzeskakis D J, Kevrekidis P G and Pelinovsky D E 2013 Phys. Rev. Lett. 110 264101 doi: 10.1103/PhysRevLett.110.264101
[38]	Lobanov V E, Kartashov Y V and Konotop V V 2014 Phys. Rev. Lett. 112 180403 doi: 10.1103/PhysRevLett.112.180403
[39]	Zhang Y, Zhou Z, Malomed B A and Pu H 2015 Phys. Rev. Lett. 115 253902 doi: 10.1103/PhysRevLett.115.253902
[40]	Sakaguchi H and Malomed B A 2014 Phys. Rev. E 90 062922 doi: 10.1103/PhysRevE.90.062922
[41]	Sakaguchi H and Malomed B A 2016 New J. Phys. 18 025020 doi: 10.1088/1367-2630/18/2/025020
[42]	Kartashov Y V and Konotop V V 2017 Phys. Rev. Lett. 118 190401 doi: 10.1103/PhysRevLett.118.190401
[43]	Gra? T, Chhajlany R W, Muschik C A and Lewenstein M 2014 Phys. Rev. B 90 195127 doi: 10.1103/PhysRevB.90.195127
[44]	Barnett R, Boyd G R and Galitski V 2012 Phys. Rev. Lett. 109 235308 doi: 10.1103/PhysRevLett.109.235308
[45]	Bornheimer U, Miniatura C and Grémaud B 2018 Phys. Rev. A 98 043614 doi: 10.1103/PhysRevA.98.043614
[46]	Han W, Zhang X F, Song S W, Saito H, Zhang W, Liu W M and Zhang S G 2016 Phys. Rev. A 94 033629 doi: 10.1103/PhysRevA.94.033629
[47]	Kawaguchi Y and Ueda M 2012 Phys. Rep. 520 253 doi: 10.1016/j.physrep.2012.07.005
[48]	Stamper-Kurn D M and Ueda M 2013 Rev. Mod. Phys. 85 1191 doi: 10.1103/RevModPhys.85.1191
[49]	Arfken G B, Weber H J and Harris F E 2000 Mathematical Methods for Physicists (Elsevier: Academic Press)
[50]	Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in Fortran 77 (Cambridge: Cambridge University Press)
[51]	Bao W Z, Jaksch D and Markowich P 2003 J. Comput. Phys. 187 318 doi: 10.1016/S0021-9991(03)00102-5
[52]	Zhang Y, Mao L and Zhang C 2012 Phys. Rev. Lett. 108 035302 doi: 10.1103/PhysRevLett.108.035302
[53]	Wen L, Sun Q, Wang H Q, Ji A C and Liu W M 2012 Phys. Rev. A 86 043602 doi: 10.1103/PhysRevA.86.043602