Robustness of the bare-Gibbs quantum Mpemba response under a microscopic bath

Determine whether the broad and strong quantum Mpemba response produced by bare Gibbs preparation persists when the graphene nanotorus qubit is coupled to an experimentally realistic microscopic bath with geometry-dependent electron–phonon and dephasing rates.

Background

The numerical results use phenomenological thermal rates and predict broad regions of strong quantum Mpemba behavior for the bare Gibbs preparation protocol. In this protocol, the coherent drive is switched on during the final quench, producing preparation-dependent occupation of the slow Liouvillian sector.

The authors explicitly leave unresolved whether this strong response survives a realistic microscopic treatment of the bath. Such a treatment would incorporate geometry-dependent electron–phonon spectral densities, transition matrix elements, and potentially microscopic dephasing processes, all of which could alter the predicted relaxation hierarchy and Mpemba crossings.