4.7 Article

Spectral form factor in a minimal bosonic model of many-body quantum chaos

期刊

PHYSICAL REVIEW E
卷 106, 期 2, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.106.024208

关键词

-

资金

  1. Ministry of Electronics & Information Technology (MeitY), India under the grant for Centre for Excellence in Quantum Technologies [4 (7) /2020-ITEA]
  2. European Research Council (ERC) [694544-OMNES]
  3. Slovenian Research Agency (ARRS) [P1-0402]

向作者/读者索取更多资源

In this study, we investigate the spectral form factor in periodically kicked bosonic chains. By using the random phase approximation, we demonstrate that the spectral form factor can be rewritten in terms of a bistochastic many-body process generated by an effective bosonic Hamiltonian. This research provides important insights into the system size effects and the relationship between particle number and spectral properties.
We study spectral form factor in periodically kicked bosonic chains. We consider a family of models where a Hamiltonian with the terms diagonal in the Fock space basis, including random chemical potentials and pairwise interactions, is kicked periodically by another Hamiltonian with nearest-neighbor hopping and pairing terms. We show that, for intermediate-range interactions, the random phase approximation can be used to rewrite the spectral form factor in terms of a bistochastic many-body process generated by an effective bosonic Hamiltonian. In the particle-number conserving case, i.e., when pairing terms are absent, the effective Hamiltonian has a non -Abelian SU (1, 1) symmetry, resulting in universal quadratic scaling of the Thouless time with the system size, irrespective of the particle number. This is a consequence of degenerate symmetry multiplets of the subleading eigenvalue of the effective Hamiltonian and is broken by the pairing terms. In such a case, we numerically find a nontrivial systematic system-size dependence of the Thouless time, in contrast to a related recent study for kicked fermionic chains.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据