Non-Markovian quantum Mpemba effect in strongly correlated quantum dots

TL;DR

This paper demonstrates a non-Markovian quantum Mpemba effect in strongly correlated quantum dots, where memory effects cause relaxation slowdown, revealing new control pathways in quantum dynamics.

Contribution

It introduces the first demonstration of a non-Markovian quantum Mpemba effect in quantum dots using the HEOM method, linking memory effects to relaxation dynamics.

Findings

Memory effects induce relaxation slowdown in quantum systems.

The Mpemba effect depends on initial state geometry and non-Markovianity.

Memory backflow from environment influences steady-state approach.

Abstract

Harnessing non-Markovian effects has emerged as a resource for quantum control, where a structured environment can act as a quantum memory. We investigate the quench dynamics from specific initial states to equilibrium steady states in strongly correlated quantum dot systems. The distance between quantum states is quantified using the Bures metric, which endows the space of reduced density matrices with a Riemannian geometric structure. Using the numerically exact hierarchical equations of motion (HEOM) method, we demonstrate a quantum Mpemba effect arising from non-Markovianity. This effect is characterized by a relaxation slowdown due to information backflow from the bath to the system, which induces a pronounced memory effect. We show that the emergence of the non-Markovian quantum Mpemba effect on the approach to a strongly correlated steady state is determined by the interplay between the initial-state-dependent non-Markovianity and the initial geometric distance between states. Our results underscore the critical role of memory effects in quantum quench dynamics and suggest new pathways for controlling anomalous relaxation in open quantum systems.