Tuning the Quantum Mpemba Effect in Isolated System by Initial State Engineering

TL;DR

This paper explores how initial state engineering can control the quantum Mpemba effect in isolated systems, revealing a tunable mechanism for faster relaxation and proposing an experimentally feasible circuit for verification.

Contribution

It introduces a symmetry-resolved state engineering approach to manipulate quantum relaxation dynamics and demonstrates its practical implementation in quantum circuits.

Findings

Identification of a tunable mechanism influencing QME emergence

Proposal of an experimentally realizable quantum circuit for verification

Establishment of symmetry-resolved state engineering as a control tool

Abstract

We investigate the quantum Mpemba effect (QME) in isolated, non-integrable quantum systems, where relaxation dynamics depend on structure of the initial states. By analyzing the distribution of initial states across symmetrical subspaces, we identify a tunable mechanism that influences the emergence of QME, showing faster relaxation from certain out-of-equilibrium states. Additionally, we propose an experimentally realizable quantum circuit, which requires no complex controls on quantum simulator platforms and serves to verify our theoretical predictions. These results establish symmetry-resolved state engineering as a practical tool for manipulating non-equilibrium quantum dynamics.