Abstract
This paper proposes the Husimi-Q function based entropy as a suitable quantity to describe the thermodynamic properties of dynamical phase transitions, and establishes a relation between dynamical criticality and entropy production.
Highlights
The dynamics of closed quantum many-body systems has been the subject of considerable interest since the early 2010s
The results presented in this article are relevant from the dynamical quantum phase transition perspective and for the field of quantum thermodynamics, since they point out that the Wehrl entropy can be used as a viable measure of entropy production
We studied the dynamical behavior of the entropy production in a closed system that undergoes a dynamical quantum phase transition
Summary
The dynamics of closed quantum many-body systems has been the subject of considerable interest since the early 2010s. For the same reason, the Wehrl entropy evolves nontrivially even in closed system, unlike the von Neumann entropy, which is constant It captures the scrambling of information, very much like the Loschmidt echo in Eq (1), but from the phase-space perspective. For these reasons, the Wehrl entropy serves as a useful quantifier of quantum dynamics and several nontrivial features associated with the transition from quantum to classical. The model reduces to the classical dynamics of a spinning top [29] It allows for a neat construction in terms of quantum phase space by using the idea of spin-coherent states: The corresponding Husimi function describes a quasiprobability distribution in the unit sphere.
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