Exact Non-Markovian Master Equation and Dispersive Probing of Non-Markovian Process

TL;DR

This paper derives an exact non-Markovian master equation for open quantum systems, capturing memory effects, and demonstrates its application in probing non-Markovianity in cavity QED systems through atomic decoherence.

Contribution

It presents a novel exact derivation of the non-Markovian master equation incorporating bath memory effects and applies it to actively probe non-Markovianity in cavity QED.

Findings

Memory effects are explicitly reflected in time-dependent decay rates.

The atomic decoherence factor effectively indicates bath non-Markovianity.

The approach provides a precise tool for studying non-Markovian quantum dissipation.

Abstract

For a bosonic (fermionic) open system in a bath with many bosons (fermions) modes, we derive the exact non-Markovian master equation in which the memory effect of the bath is reflected in the time dependent decay rates. In this approach, the reduced density operator is constructed from the formal solution of the corresponding Heisenberg equations. As an application of the exact master equation, we study the active probing of non-Markovianity of the quantum dissipation of a single boson mode of electromagnetic (EM) field in a cavity QED system. The non-Markovianity of the bath of the cavity is explicitly reflected by the atomic decoherence factor.