Impact of quantum coherence on the dynamics and thermodynamics of quenched free fermions coupled to a localized defect
Phys. Rev. A 113, 013311 – Published 9 January, 2026
DOI: https://doi.org/10.1103/5kt1-5m83
Abstract
We investigate the nonequilibrium quantum dynamics and thermodynamics of free fermions suddenly coupled to a localized defect in a one-dimensional harmonic trap. This setup realizes a quantum quench transformation that gives rise to the orthogonalization of the system's wave function as an effect of the localized perturbation. Using the Loschmidt echo and the Kirkwood-Dirac quasiprobability (KDQ) distribution of the work done by the defect, we quantify the extent and rate of the orthogonalization dynamics. In particular, we show that initializing the system in a coherent superpositions of energy eigenstates leads to nonclassical features, such as Wigner function's negativity and nonpositivity of the work KDQ distribution. Starting from simple single-particle superpositions and then progressing with coherent and cat states of few-body fermionic systems, we uncover how quantum coherence and few-body correlations shape the out-of-equilibrium response due to the presence of the defect.
