Quench Spectroscopy for Dissipative and (Non)-Hermitian Quantum Lattice Models

• URL: http://arxiv.org/abs/2412.00637v2
• Date: Fri, 21 Feb 2025 20:21:08 GMT
• Title: Quench Spectroscopy for Dissipative and (Non)-Hermitian Quantum Lattice Models
• Authors: Julien Despres,
• Abstract summary: We extend the quench spectroscopy method to dissipative and isolated non-Hermitian quantum lattice models.<n>We first investigate theoretically the dynamics of the open Bose-Hubbard chain confined in the superfluid phase induced by a sudden global quench.<n>We then discuss the applicability of the quench spectroscopy to non-Hermitian transverse-field Ising chain confined in the paramagnetic phase.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We extend the quench spectroscopy method to dissipative and isolated non-Hermitian quantum lattice models via the case study of the open Bose-Hubbard chain and the non-Hermitian transverse-field Ising chain respectively. We first investigate theoretically the dynamics of the open Bose-Hubbard chain confined in the superfluid phase induced by a sudden global quench on the dissipations and the repulsive interactions using the equation-of-motion approach. Using the same analytical approach, we then discuss the applicability of the quench spectroscopy to non-Hermitian quantum lattice models by considering the sudden global quench dynamics of the non-Hermitian transverse-field Ising chain confined in the paramagnetic phase. We finally generalize this spectroscopy method to isolated Hermitian quantum lattice models characterized by a quadratic fermionic or bosonic Hamiltonian. For this purpose, we consider the case study of the Hermitian version of the latter one-dimensional lattice model. The investigation is performed analytically for the bosonic and fermionic reformulations while considering for each case the equation-of-motion and quasiparticle theoretical approaches.

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