TY - JOUR
T1 - Spin-phase-space-entropy production
AU - Santos, Jader P.
AU - Céleri, Lucas C.
AU - Brito, Frederico
AU - Landi, Gabriel T.
AU - Paternostro, Mauro
PY - 2018/5/22
Y1 - 2018/5/22
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85047608891&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.97.052123
DO - 10.1103/PhysRevA.97.052123
M3 - Article
AN - SCOPUS:85047608891
VL - 97
JO - Physical Review A (Atomic, Molecular, and Optical Physics)
JF - Physical Review A (Atomic, Molecular, and Optical Physics)
SN - 1050-2947
IS - 5
M1 - 052123
ER -