Hamiltonian non-Hermicity: accurate dynamics with the multiple Davydov D₂ Ansätze

2024/10/16 by Lei Zhang, K. Shen, Zhang, L. +9 · 3 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Numerical methods for differential equations #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2410.12285

openalex publication_date 2024/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• PT-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• A Davydov Ansatz approach to accurate system-bath dynamics in the presence of multiple baths with distinct temperatures
• Hierarchical Equations of Motion Solved with the Multiconfigurational Ehrenfest Ansatz

Related

• Quantum dynamics of non-Hermitian many-body Landau-Zener systems
• Analytical Approximations for Generalized Landau-Zener Transitions in Multi-level Non-Hermitian Systems
• On a Class of Time-Dependent Non-Hermitian Hamiltonians
• The Quantum Adiabatic Theorem for Non-Hermitian Dynamics
• Quantum simulation of the pseudo-Hermitian Landau-Zener-Stückelberg-Majorana effect