Spin-phase-space-entropy production

Jader P. Santos, Lucas C. Céleri, Frederico Brito, Gabriel T. Landi, Mauro Paternostro

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
262 Downloads (Pure)


Quantifying the degree of irreversibility of an open system dynamics represents a problem of both fundamental and applied relevance. Even though a well-known framework exists for thermal baths, the results give diverging results in the limit of zero temperature and are also not readily extended to nonequilibrium reservoirs, such as dephasing baths. Aimed at filling this gap, in this paper we introduce a phase-space-entropy production framework for quantifying the irreversibility of spin systems undergoing Lindblad dynamics. The theory is based on the spin Husimi-Q function and its corresponding phase-space entropy, known as Wehrl entropy. Unlike the von Neumann entropy production rate, we show that in our framework, the Wehrl entropy production rate remains valid at any temperature and is also readily extended to arbitrary nonequilibrium baths. As an application, we discuss the irreversibility associated with the interaction of a two-level system with a single-photon pulse, a problem which cannot be treated using the conventional approach.

Original languageEnglish
Article number052123
Number of pages10
JournalPhysical Review A
Issue number5
Publication statusPublished - 22 May 2018

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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