Solitonic Diffusion of Wavepackets in One-Dimensional Bose–Einstein Condensates
Yu Mo, Cong Zhang, Shiping Feng, Shi-Jie Yang**
Department of Physics, Beijing Normal University, Beijing 100875
Abstract ：Solitonic characteristics are revealed in the diffusion process of a hump or a notch wave packet in a one-dimensional Bose–Einstein condensate. By numerically solving the time-dependent Gross–Pitaevskii equation, we find completely different spreading behavior for attractive or repulsive condensates. For the attractive condensate, a series of bright solitons are continuously generated one after another at the wave front and they nearly stay at the positions where they are generated in the whole diffusion process. In contrast, for the repulsive condensate, the initial wave packet splits at the beginning into a series of grey solitons that travel at different velocities. The moving velocity of the grey soliton depends on nonlinear interaction strength, as well as the shape of a particular grey soliton.
收稿日期: 2019-07-28
出版日期: 2019-11-25
:
03.75.Mn
(Multicomponent condensates; spinor condensates)
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
05.30.Jp
(Boson systems)
[1] Kivshar Y S and Agrawal G P 2003 Optical Solitons: From Fibers to Photonic Crystals (New York: Academic Press) [2] Su W P, Schrieffer J R and Heeger A J 1979 Phys. Rev. Lett. 42 1698 [3] Baryakhtar V G, Ivanov B A, Sukstanskii A L and Melikhov E Y 1997 Phys. Rev. B 56 619 [4] Qu C L, Pitaevskii L P and Stringari S 2016 Phys. Rev. Lett. 116 160402 [5] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885 [6] Wu B, Liu J and Niu Q 2002 Phys. Rev. Lett. 88 034101 [7] Polkovnikov A, Sengupta K, Silva A and Vengalattore M 2011 Rev. Mod. Phys. 83 863 [8] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198 Denshlag J et al 2000 Science 287 97 [9] Yi X N et al 2015 Phys. Rev. A 91 023801 [10] Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150 [11] Eiermann B et al 2004 Phys. Rev. Lett. 92 230401 [12] Salasnich L, Parola A and Reatto L 2002 Phys. Rev. A 66 043603 [13] Salasnich L, Parola A and Reatto L 2003 Phys. Rev. Lett. 91 080405 [14] Salasnich L 2004 Laser Phys. 14 291 [15] McDonald G D et al 2014 Phys. Rev. Lett. 113 013002 [16] Liu X et al 2009 Phys. Rev. A 79 013423 [17] Will S, Best T, Schneider U, Hackermuller L, Luhmann D and Bloch I 2010 Nature 465 197 [18] Albiez M et al 2005 Phys. Rev. Lett. 95 010402 [19] Iyer D, Mondaini R, Will S and Rigol M 2014 Phys. Rev. A 90 031602R [20] Roussou A, Smyrnakis J, Magiropoulos M, Efremidis N K and Kavoulakis G M 2017 Phys. Rev. A 95 033606 [21] Sato J, Kanamoto R, Kaminishi E and Deguchi T 2016 New J. Phys. 18 075008 [22] Syrwid A and Sacha K 2015 Phys. Rev. A 92 032110 [23] Gross E P 1961 Nuovo Cimento 20 454 Pitaevskii L P 1961 Zh. Eksp. Teor. Fiz. 40 646 [Sov. Phys. JETP 13 451] [24] Baym G and Pethick C J 1996 Phys. Rev. Lett. 76 6 [25] Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063610 [26] Carr L D, Clark C E and Reinhardt W P 2000 Phys. Rev. A 62 063611 [27] Bao W, Jaksch D and Markowich P A 2003 J. Comput. Phys. 187 318
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
WU Cong-Jun**;Ian Mondragon-Shem;;ZHOU Xiang-Fa
. Unconventional Bose–Einstein Condensations from Spin-Orbit Coupling
[9]
ZHANG Zhi-Qiang;WANG Deng-Long**;LUO Xiao-Qing;HE Zhang-Ming;DING Jian-Wen
. Controlling of Fusion of Two Solitons in a Two-Component Condensate by an Anharmonic External Potential
[10]
HAO Ya-Jiang
. Ground State Density Distribution of Bose-Fermi Mixture in a One-Dimensional Harmonic Trap
[11]
LIU Xun-Xu;ZHANG Xiao-Fei;ZHANG Peng. Vector Solitons and Soliton Collisions in Two-Component Bose-Einstein Condensates
[12]
TIAN Jing;QIU Hai-Bo;CHEN Yong;. Nonlocal Measure Synchronization in Coupled Bosonic Josephson Junctions
[13]
YAN Jia-Ren;PAN Liu-Xian;YU Hui-You;AO Sheng-Mei. Interactions between Components of Various Vector Solitons in Bose-Einstein Condensates
[14]
XIA Lin;XIONG Wei;YANG Fan;YI Lin;ZHOU Xiao-Ji;CHEN Xu-Zong. High Field Seeking State Atom Laser and Properties of Flux
[15]
PANG Wei;LI Zhi-Bing;BAO Cheng-Guang. Ground Band and Excited Band of Spin-1 BEC in Cigar Shaped Laser Trap
2019, Vol. 36 
