Roy, D and Mishra, D and Prosen, T (2022) Spectral form factor in a minimal bosonic model of many-body quantum chaos. In: Physical Review E, 106 (2).
|
PDF
Phys_Rev_E_106-2_2022 .pdf - Published Version Download (3MB) | Preview |
Abstract
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. © 2022 American Physical Society.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review E |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Approximation algorithms; Approximation theory; Bosons; Eigenvalues and eigenfunctions; Quantum chaos; Quantum theory, Effective Hamiltonian; Fock spaces; Form factors; Many body; Nearest neighbor hopping; Pairwise interaction; Particle numbers; Quantum chaos; Random phase approximations; Scalings, Hamiltonians |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 05 Oct 2022 05:09 |
| Last Modified: | 05 Oct 2022 05:09 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77025 |
Actions (login required)
 |
View Item |
