Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice[2017-07-30]
Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps[2017-04-06]
Collective excitation of a trapped Bose-Einstein condensate with spin-orbit coupling [2017-03-16]
Quantum walks in the commensurate off-diagonal AAH model[2017-02-03]
Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
发布者： admin 发布时间：2017-04-06
Recently the experiment in Heidelberg showed strong evidences that the spin chain of few cold atoms in one-dimensional system without an underlying lattice can be realized in vicinity of a scattering resonance. On the theoretical side, the general form of the effective spin-chain model for strongly interacting atomic gases with an arbitrary spin in the one-dimensional(1D) traps has been presented [2-8]. This provides a platform for the research of basic magnetic processes in few-body system. For the two-component system with a large but finite strong s-wave interaction, the transition between the ferromagnetism (FM) and anti-ferromagnetism (AFM) phase, the theorem on the level crossing between singlet ground state and the maximum spin state have been studied [9-11]. Due to the existence of two-channel interaction, the spin-1 system exhibits much richer phenomena than the two-component system, which is expected to give rise to rich magnetic properties in the strongly interacting limit.
Based on the effective spin-chain model to strongly interacting trapped boson gases with spin-1, we study the properties of the magnetic ground state in the strongly repulsive regime and explore the ordering and crossing of the energy levels when the interaction transfers from the FM to AFM(see fig1). By analyzing the symmetry of system in the presence of a spin-dependent magnetic gradient and a transverse magnetic field, we show how the ground state may be manipulated and the atoms would collide in the spin-mixing dynamics depending mainly on the ratio between of interaction strengths in the two collisional channel(see fig2).
This work has been accepted by Phys. Rev. A.
 Deuretzbacher, G. Zürn, J. Bjerlin, S. M. Reimann, L. Santos, T. Lompe, and S. Jochim, Phys. Rev. Lett. 115, 215301 (2015).
 F. Deuretzbacher, K. Fredenhagen, D. Becker, K. Bongs, K. Sengstock, and D. Pfannkuche, Phys. Rev. Lett. 100, 160405 (2008).
 F. Deuretzbacher, D. Becker, J. Bjerlin, S. M. Reimann, and L. Santos, Phys. Rev. A 90, 013611 (2014).
 Lijun Yang and Xiaoling Cui, Phys. Rev. A 93, 013617 (2016).
 Li Yang, Limin Guan, and Han Pu, Phys. Rev. A 91, 043634 (2015).
 Li Yang and Han Pu, Phys. Rev. A 94, 033614 (2016).
 E. J. Lindgren, J. Rotureau, C. Forssen, A. G. Volosniev, and N. T. Zinner, New J. Phys. 16, 063003 (2014).
 A. G. Volosniev, D. Petrosyan, M. Valiente, D. V. Fedorov, A. S. Jensen, and N. T. Zinner, Phys. Rev. A 91, 023620 (2015).
 Xiaoling Cui and T.-L. Ho, Phys. Rev. A 89, 023611 (2014).
 E. H. Lieb and D. Mattis, Phys. Rev. 125, 164 (1962).
 L. Guan and S. Chen, Phys. Rev. Lett. 105, 175301 (2010); L. Guan, S. Chen, Y. Wang, and Z. Q. Ma, Phys. Rev. Lett. 102, 160402 (2009).
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