Hamiltonian non-Hermicity: accurate dynamics with the multiple Davydov D$_2$ Ans\"atze

TL;DR

This paper demonstrates that the multiple Davydov D2 Ansatz (mDA) method can accurately simulate complex non-Hermitian many-body quantum systems, extending its applicability to dissipative and topological phenomena.

Contribution

The study introduces the use of the mDA method for non-Hermitian systems, showing its effectiveness in accurately capturing dynamics in various models.

Findings

mDA accurately models dissipative Landau-Zener transitions

mDA effectively simulates non-Hermitian Jaynes-Cummings and Holstein-Tavis-Cummings models

mDA is versatile for exploring non-Hermitian phenomena like skin effects and spectral topology

Abstract

We examine the applicability of the numerically accurate method of time dependent variation with multiple Davydov Ansatze (mDA) to non-Hermitian systems. Three systems of interest includes: a non-Hermitian system of dissipative Landau-Zener transitions, a non-Hermitian, multimode Jaynes-Cummings model, and a dissipative Holstein-Tavis-Cummings model, where complex many-body dynamics are accurately captured by the mDA method. Our findings highlight the versatility of the mDA as a powerful numerical tool for investigating complex many-body non-Hermitian systems, which can be extended to explore diverse phenomena such as skin effects, excited-state dynamics, and spectral topology in the non-Hermitian field.