scholarly journals Informational Steady States and Conditional Entropy Production in Continuously Monitored Systems

PRX Quantum ◽  
2022 ◽  
Vol 3 (1) ◽  
Author(s):  
Gabriel T. Landi ◽  
Mauro Paternostro ◽  
Alessio Belenchia
Keyword(s):  
Entropy Production ◽  
Conditional Entropy ◽  
Steady States

scholarly journals HOW SHOULD ONE DEFINE ENTROPY PRODUCTION FOR NONEQUILIBRIUM QUANTUM SPIN SYSTEMS?

2002 ◽  
Vol 14 (07n08) ◽  
pp. 701-707 ◽  
Author(s):  
DAVID RUELLE
Keyword(s):  
Entropy Production ◽  
Quantum Spin ◽  
Steady States ◽  
Spin Systems ◽  
Nonequilibrium Steady States ◽  
Quantum Spin Systems ◽  
Rigorous Results

This paper discusses entropy production in nonequilibrium steady states for infinite quantum spin systems. Rigorous results have been obtained recently in this area, but a physical discussion shows that some questions of principle remain to be clarified.

scholarly journals A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS

2013 ◽  
Vol 16 (02) ◽  
pp. 1350016 ◽  
Author(s):  
JORGE R. BOLAÑOS-SERVIN ◽  
ROBERTO QUEZADA
Keyword(s):  
Entropy Production ◽  
Production Rate ◽  
Detailed Balance ◽  
Steady States ◽  
Quantum Entropy ◽  
Entropy Production Rate ◽  
Markov Semigroups ◽  
Cycle Decomposition ◽  
Definition Of ◽  
Insight Into

We propose a definition of cycle representation for Quantum Markov Semigroups (QMS) and of Quantum Entropy Production Rate (QEPR) in terms of the ρ-adjoint. We introduce the class of circulant QMS, which admit non-equilibrium steady states but exhibit symmetries that allow us to compute explicitly the QEPR, gain a deeper insight into the notion of cycle decomposition and prove that quantum detailed balance holds if and only if the QEPR equals zero.

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