In these lectures, I pedagogically review some recent advances in the study of the non-equilibrium dynamics of isolated quantum systems. In particular I emphasise the role played by the reduced density matrix and by the entanglement entropy in the understanding of the stationary properties after a quantum quench. The idea that the stationary thermodynamic entropy is the entanglement accumulated during the non-equilibrium dynamics is introduced and used to provide quantitative predictions for the time evolution of the entanglement itself. The harmonic chain is studied as an elementary model in which the quench dynamics can be easily and exactly worked out. This example provides a useful playground where general concepts can be simply understood and later applied to more complex and realistic systems.

Entanglement and thermodynamics in non-equilibrium isolated quantum systems / Calabrese, Pasquale. - In: PHYSICA. A. - ISSN 0378-4371. - 504:August(2018), pp. 31-44. [10.1016/j.physa.2017.10.011]

Entanglement and thermodynamics in non-equilibrium isolated quantum systems

Calabrese, Pasquale
2018

Abstract

In these lectures, I pedagogically review some recent advances in the study of the non-equilibrium dynamics of isolated quantum systems. In particular I emphasise the role played by the reduced density matrix and by the entanglement entropy in the understanding of the stationary properties after a quantum quench. The idea that the stationary thermodynamic entropy is the entanglement accumulated during the non-equilibrium dynamics is introduced and used to provide quantitative predictions for the time evolution of the entanglement itself. The harmonic chain is studied as an elementary model in which the quench dynamics can be easily and exactly worked out. This example provides a useful playground where general concepts can be simply understood and later applied to more complex and realistic systems.
504
August
31
44
http://cmtp.uniroma2.it/18QIOA/slides/calabrese.pdf
Calabrese, Pasquale
File in questo prodotto:
File Dimensione Formato  
elsarticle-template-1.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Non specificato
Dimensione 562.39 kB
Formato Adobe PDF
562.39 kB 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/20.500.11767/85596
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 46
  • ???jsp.display-item.citation.isi??? 43
social impact