The Clausius inequality has deep implications for reversibility and the arrow of time. Quantum theory is able to extend this result for closed systems by inspecting the trajectory of the density matrix on its manifold. Here we show that this approach can provide an upper and lower bound to the irreversible entropy production for open quantum systems as well. These provide insights on how the information on the initial state is forgotten through a thermalization process. Limits of the applicability of our bounds are discussed and demonstrated in a quantum photonic simulator.

Geometrical Bounds on Irreversibility in Open Quantum Systems

Cavina, Vasco;De Pasquale, Antonella;Giovannetti, Vittorio;
2018

Abstract

The Clausius inequality has deep implications for reversibility and the arrow of time. Quantum theory is able to extend this result for closed systems by inspecting the trajectory of the density matrix on its manifold. Here we show that this approach can provide an upper and lower bound to the irreversible entropy production for open quantum systems as well. These provide insights on how the information on the initial state is forgotten through a thermalization process. Limits of the applicability of our bounds are discussed and demonstrated in a quantum photonic simulator.
Settore FIS/03 - Fisica della Materia
Physics and Astronomy (all)
File in questo prodotto:
File Dimensione Formato  
1801.05188.pdf

accesso aperto

Tipologia: Submitted version (pre-print)
Licenza: Creative commons
Dimensione 1.38 MB
Formato Adobe PDF
1.38 MB Adobe PDF Visualizza/Apri
11384_77705.pdf

Accesso chiuso

Tipologia: Published version
Licenza: Non pubblico
Dimensione 1.09 MB
Formato Adobe PDF
1.09 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

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: http://hdl.handle.net/11384/77705
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 18
  • ???jsp.display-item.citation.isi??? 16
social impact