Impact of quantum coherence on the dynamics and thermodynamics of quenched free fermions coupled to a localized defect

TL;DR

This paper explores how quantum coherence influences the non-equilibrium dynamics and thermodynamics of free fermions after a sudden localized defect, revealing non-classical features like Wigner negativity and work distribution non-positivity.

Contribution

It introduces a detailed analysis of quantum coherence effects on quenched free fermions with a localized defect, highlighting the role of initial superpositions and correlations.

Findings

Quantum coherence affects orthogonalization dynamics.

Non-classical features emerge with superpositions.

Few-body correlations influence out-of-equilibrium response.

Abstract

We investigate the non-equilibrium 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 non-classical features, such as Wigner function's negativity and non-positivity 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.