Simulation of time-dependent Heisenberg models in one dimension

被引：16
作者：
Volosniev, A. G. [1 ,2 ]
Hammer, H. -W. [2 ,3 ]
Zinner, N. T. [1 ]
机构：
[1] Aarhus Univ, Dept Phys & Astron, DK-8000 Aarhus C, Denmark
[2] Tech Univ Darmstadt, Inst Kernphys, Petersenstr 30, D-64289 Darmstadt, Germany
[3] GSI Helmholtzzentrum Schwerionenforsch GmbH, EMMI, D-64291 Darmstadt, Germany
来源：
PHYSICAL REVIEW B | 2016年 / 93卷 / 09期
关键词：
TONKS-GIRARDEAU GAS; IMPENETRABLE BOSONS; OPTICAL LATTICE; ULTRACOLD ATOMS; QUANTUM DOTS; SYSTEMS; FERMIONS; ENTANGLEMENT; CONDENSATE;
D O I：
10.1103/PhysRevB.93.094414
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we provide a theoretical analysis of strongly interacting quantum systems confined by a time-dependent external potential in one spatial dimension. We show that such systems can be used to simulate spin chains described by Heisenberg Hamiltonians in which the exchange coupling constants can be manipulated by time-dependent driving of the shape of the external confinement. As illustrative examples, we consider a harmonic trapping potential with a variable frequency and an infinite square-well potential with a time-dependent barrier in the middle.
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页数：5
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