Collective Strong Quantum Mpemba Effect in Accelerated Quantum Detectors
Abstract
Collective coupling to the Minkowski vacuum allows uniformly accelerated quantum detectors to exhibit a strong quantum Mpemba effect, in which a state initially farther from equilibrium relaxes faster than a closer one. We establish the existence of this effect for every fixed finite number of detectors N≥ 2 at sufficiently small transverse separation within the pointlike secular master equation. The mechanism originates from two reflection sectors whose populations are conserved by the leading collective dynamics. Weak intersector transfer at finite separation generates an isolated, parametrically slow relaxation mode. A simple family of initial states permits its leading-order cancellation by matching the equilibrium sector populations, while a corrected preparation eliminates the slow-mode amplitude exactly. We construct a reference state that establishes a genuine reversal of trace-distance ordering. Numerical calculations and local-rate-preserving controls identify the collective origin of the effect, while spatially smeared detector calculations support its persistence within the second-order secular framework. The same mechanism extends to detectors coupled to a common thermal field, with analytically distinct slow relaxation rates. Thus, strong Mpemba relaxation is not exclusive to acceleration but emerges from a more general interplay between collective dissipation, reflection-sector conservation, and weak symmetry-breaking transfer.
Related
- Relativistic Strong Quantum Mpemba Effect
- A General Master Equation for Two Accelerated Detectors: Stationary States and Entanglement
- Boundary preparation of strong Mpemba states in holography
- Mpemba effects in quantum complexity
- Observation and Modulation of the Quantum Mpemba Effect on a Superconducting Quantum Processor
BibTeX
@misc{neto2026collective,
title = {{Collective Strong Quantum Mpemba Effect in Accelerated Quantum Detectors}},
author = {G. D. de Moraes Neto and Richard Q. Matos and Norton G. de Almeida},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.24658},
eprint = {2610.24658},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.24658},
}
RIS
TY - UNPB
TI - Collective Strong Quantum Mpemba Effect in Accelerated Quantum Detectors
AU - G. D. de Moraes Neto
AU - Richard Q. Matos
AU - Norton G. de Almeida
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2610.24658
UR - https://arxiv.org/abs/2610.24658
AB - Collective coupling to the Minkowski vacuum allows uniformly accelerated quantum detectors to exhibit a strong quantum Mpemba effect, in which a state initially farther from equilibrium relaxes faster than a closer one. We establish the existence of this effect for every fixed finite number of detectors N≥ 2 at sufficiently small transverse separation within the pointlike secular master equation. The mechanism originates from two reflection sectors whose populations are conserved by the leading collective dynamics. Weak intersector transfer at finite separation generates an isolated, parametrically slow relaxation mode. A simple family of initial states permits its leading-order cancellation by matching the equilibrium sector populations, while a corrected preparation eliminates the slow-mode amplitude exactly. We construct a reference state that establishes a genuine reversal of trace-distance ordering. Numerical calculations and local-rate-preserving controls identify the collective origin of the effect, while spatially smeared detector calculations support its persistence within the second-order secular framework. The same mechanism extends to detectors coupled to a common thermal field, with analytically distinct slow relaxation rates. Thus, strong Mpemba relaxation is not exclusive to acceleration but emerges from a more general interplay between collective dissipation, reflection-sector conservation, and weak symmetry-breaking transfer.
ER -