Markovian Quantum Master Equation beyond Adiabatic Regime

TL;DR

This paper develops a general Markovian quantum master equation framework that remains valid beyond the adiabatic regime by incorporating a time-dependent Hamiltonian change timescale, with applications to quantum control.

Contribution

It introduces a novel formulation of the Markovian quantum master equation that extends its validity beyond the adiabatic approximation, applicable even when the system changes faster than bath correlations.

Findings

Framework valid beyond adiabatic regime

Application to dissipative Landau-Zener model

Supports quantum control in non-adiabatic regimes

Abstract

By introducing a temporal change timescale $\tau_{\text{A}}(t)$ for the time-dependent system Hamiltonian, a general formulation of the Markovian quantum master equation is given to go well beyond the adiabatic regime. In appropriate situations, the framework is well justified even if $\tau_{\text{A}}(t)$ is faster than the decay timescale of the bath correlation function. An application to the dissipative Landau-Zener model demonstrates this general result. The findings are applicable to a wide range of fields, providing a basis for quantum control beyond the adiabatic regime.