Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases

被引：4

作者：

Yang, Li ^{[1
,2
,3
]}

Alam, Shah Saad ^{[1
,2
]}

Pu, Han ^{[1
,2
]}

机构：

[1] Rice Univ, Dept Phys & Astron, Houston, TX 77251 USA

[2] Rice Univ, Rice Ctr Quantum Mat, Houston, TX 77251 USA

[3] 1600 Amphitheatre Pkwy, Mountain View, CA 94043 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 46期

关键词：

Bose-Fermi mapping; spinor quantum gas; one dimensional many-body system; dynamical fermionization; BETHE-ANSATZ; FRACTIONAL STATISTICS; DUALITY; SYSTEMS; BOSONS; ATOMS;

D O I：

10.1088/1751-8121/aca302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum many-body systems in one dimension (1D) exhibit some peculiar properties. In this article, we review some of our work on strongly interacting 1D spinor quantum gas. First, we discuss a generalized Bose-Fermi mapping that maps the charge degrees of freedom to a spinless Fermi gas and the spin degrees of freedom to a spin chain model. This also maps the strongly interacting system into a weakly interacting one, which is amenable for perturbative calculations. Next, based on this mapping, we construct an ansatz wavefunction for the strongly interacting system, using which many physical quantities can be conveniently calculated. We showcase the usage of this ansatz wavefunction by considering the collective excitations and quench dynamics of a harmonically trapped system.

引用

页数：23

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