Thermodynamic irreversibility is well characterized by the entropy production arising from non-equilibrium quantum processes. We show that the entropy production of a quantum system undergoing open-system dynamics can be formally split into a term that only depends on population unbalances, and one that is underpinned by quantum coherences. This allows us to identify a genuine quantum contribution to the entropy production in non-equilibrium quantum processes. We discuss how these features emerge both in Lindblad-Davies differential maps and finite maps subject to the constraints of thermal operations. We also show how this separation naturally leads to two independent entropic conservation laws for the global system-environment dynamics, one referring to the redistribution of populations between system and environment and the other describing how the coherence initially present in the system is distributed into local coherences in the environment and non-local coherences in the system-environment state. Finally, we discuss how the processing of quantum coherences and the incompatibility of non-commuting measurements leads to fundamental limitations in the description of quantum trajectories and fluctuation theorems.

Santos J.P., Celeri L.C., Landi G.T., Paternostro M. (2019). The role of quantum coherence in non-equilibrium entropy production. NPJ QUANTUM INFORMATION, 5(1) [10.1038/s41534-019-0138-y].

The role of quantum coherence in non-equilibrium entropy production

Paternostro M.
Ultimo
2019-03-01

Abstract

Thermodynamic irreversibility is well characterized by the entropy production arising from non-equilibrium quantum processes. We show that the entropy production of a quantum system undergoing open-system dynamics can be formally split into a term that only depends on population unbalances, and one that is underpinned by quantum coherences. This allows us to identify a genuine quantum contribution to the entropy production in non-equilibrium quantum processes. We discuss how these features emerge both in Lindblad-Davies differential maps and finite maps subject to the constraints of thermal operations. We also show how this separation naturally leads to two independent entropic conservation laws for the global system-environment dynamics, one referring to the redistribution of populations between system and environment and the other describing how the coherence initially present in the system is distributed into local coherences in the environment and non-local coherences in the system-environment state. Finally, we discuss how the processing of quantum coherences and the incompatibility of non-commuting measurements leads to fundamental limitations in the description of quantum trajectories and fluctuation theorems.
1-mar-2019
Settore FIS/03 - Fisica Della Materia
Santos J.P., Celeri L.C., Landi G.T., Paternostro M. (2019). The role of quantum coherence in non-equilibrium entropy production. NPJ QUANTUM INFORMATION, 5(1) [10.1038/s41534-019-0138-y].
File in questo prodotto:
File Dimensione Formato  
s41534-019-0138-y.pdf

accesso aperto

Descrizione: articolo
Tipologia: Versione Editoriale
Dimensione 613.29 kB
Formato Adobe PDF
613.29 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/617613
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 117
  • ???jsp.display-item.citation.isi??? 115
social impact