We derive exact analytic expressions for the n-body local correlations in the one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the thermodynamic limit. Our results are valid for arbitrary states of the model, including ground and thermal states, stationary states after a quantum quench, and nonequilibrium steady states arising in transport settings. Calculations for these states are explicitly presented and physical consequences are critically discussed. We also show that the n-body local correlations are directly related to the full counting statistics for the particle-number fluctuations in a short interval, for which we provide an explicit analytic result.

Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas / Bastianello, Alvise; Piroli, Lorenzo; Calabrese, Pasquale. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 120:19(2018), pp. 1-7. [10.1103/PhysRevLett.120.190601]

Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas

Bastianello, Alvise;Piroli, Lorenzo;Calabrese, Pasquale
2018

Abstract

We derive exact analytic expressions for the n-body local correlations in the one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the thermodynamic limit. Our results are valid for arbitrary states of the model, including ground and thermal states, stationary states after a quantum quench, and nonequilibrium steady states arising in transport settings. Calculations for these states are explicitly presented and physical consequences are critically discussed. We also show that the n-body local correlations are directly related to the full counting statistics for the particle-number fluctuations in a short interval, for which we provide an explicit analytic result.
120
19
1
7
190601
Bastianello, Alvise; Piroli, Lorenzo; Calabrese, Pasquale
File in questo prodotto:
File Dimensione Formato  
Bastianello_Calabrese.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Non specificato
Dimensione 310.2 kB
Formato Adobe PDF
310.2 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/20.500.11767/85580
Citazioni
  • ???jsp.display-item.citation.pmc??? 0
  • Scopus 51
  • ???jsp.display-item.citation.isi??? 50
social impact