Related papers: Analytical Approximations for Generalized Landau-Zener Transitions in Multi-level Non-Hermitian Systems

Analytical Approximations for Generalized Landau-Zener Transitions in Multi-level Non-Hermitian Systems

URL: http://arxiv.org/abs/2301.04816v1
Date: Thu, 12 Jan 2023 05:14:43 GMT
Title: Analytical Approximations for Generalized Landau-Zener Transitions in Multi-level Non-Hermitian Systems
Authors: Chon-Fai Kam, Yang Chen
Abstract summary: We study the dynamics of non-adiabatic transitions in non-Hermitian multi-level parabolic models. We derive analytical approximations for the wave amplitudes at different physical limits.
Score: 4.4074213830420055
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study the dynamics of non-adiabatic transitions in non-Hermitian multi-level parabolic models where the separations of the diabatic energies are quadratic function of time. The model Hamiltonian has been used to describe the non-Hermitian dynamics of two pairs of coupled cavities. In the absence of the coupling between any two pairs of cavities, the wave amplitudes within each subsystem are described by the tri-confluent Heun functions. When all the couplings between the cavities are present, we reduce the dynamics into a set of two coupled tri-confluent Heun equations, from which we derive analytical approximations for the wave amplitudes at different physical limits.

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