We provide the exact non-Markovian master equation for a two-level system interacting with a thermal bosonic bath, and we write the solution of such a master equation in terms of the Bloch vector. We show that previous approximated results are particular limits of our exact master equation. We generalize these results to more complex systems involving an arbitrary number of two-level systems coupled to different thermal baths, providing the exact master equations also for these systems. As an example of this general case we derive the master equation for the Jaynes-Cummings model.

Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models

Ferialdi L
2017-01-01

Abstract

We provide the exact non-Markovian master equation for a two-level system interacting with a thermal bosonic bath, and we write the solution of such a master equation in terms of the Bloch vector. We show that previous approximated results are particular limits of our exact master equation. We generalize these results to more complex systems involving an arbitrary number of two-level systems coupled to different thermal baths, providing the exact master equations also for these systems. As an example of this general case we derive the master equation for the Jaynes-Cummings model.
Pubblicato
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.020101
File in questo prodotto:
File Dimensione Formato  
PhysRevA.95.020101.pdf

accesso aperto

Tipologia: Documento in Versione Editoriale
Licenza: Copyright Editore
Dimensione 145.13 kB
Formato Adobe PDF
145.13 kB Adobe PDF Visualizza/Apri
supplementary_final.pdf

accesso aperto

Descrizione: Supplementary material
Tipologia: Altro materiale allegato
Licenza: Copyright Editore
Dimensione 289.16 kB
Formato Adobe PDF
289.16 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/11368/2965916
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 23
  • ???jsp.display-item.citation.isi??? 24
social impact