论文标题
广义的玻色纤维映射和强耦合ANSATZ波函数强烈相互作用的纺纱量量子气
Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
论文作者
论文摘要
一个维度（1D）中的量子多体系统具有某些特性。在本文中，我们回顾了一些有关强烈相互作用的1D纺纱量子气体的工作。首先，我们讨论了广义的玻色纤维图映射，该映射将自由度的自由度映射到无自旋的费米气体和自旋链模型的自由度。这也将强烈相互作用的系统映射到一个弱相互作用的系统中，这对于扰动计算很适合。接下来，基于此映射，我们使用可以方便地计算出许多物理数量的强度相互作用的系统构建了ANSATZ波函数。我们通过考虑谐波捕获系统的集体激发和淬灭动力学来展示这种Ansatz波函数的用法。
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.
