English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Renyi entropy of interacting thermal bosons in the large-N approximation

Chakraborty, A., & Sensarma, R. (2021). Renyi entropy of interacting thermal bosons in the large-N approximation. Physical Review A, 104(3): 032408. doi:10.1103/PhysRevA.104.032408.

Item is

Files

show Files
hide Files
:
2008.11212.pdf (Preprint), 4MB
Name:
2008.11212.pdf
Description:
-
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Chakraborty, Ahana1, Author           
Sensarma, Rajdeep2, Author
Affiliations:
1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

Content

show
hide
Free keywords: -
 MPIPKS: Phase transitions and critical phenomena
 Abstract: Using a Wigner-function-based approach, we study the Renyi entropy of a subsystem A of a system of bosons interacting with a local repulsive potential. The full system is assumed to be in thermal equilibrium at a temperature T and density rho. For a U(N)-symmetric model, we show that the Renyi entropy of the system in the large-N limit can be understood in terms of an effective noninteracting system with a spatially varying mean field potential, which has to be determined self-consistently. The Renyi entropy is the sum of two terms: (a) the Renyi entropy of this effective system and (b) the difference in thermal free energy between the effective system and the original translation-invariant system, scaled by T. We determine the self-consistent equation for this effective potential within a saddle-point approximation. We use this formalism to look at one- and two-dimensional Bose gases on a lattice. In both cases, the potential profile is that of a square well, taking one value in subsystem A and a different value outside it. The potential varies in space near the boundary of subsystem A on the scale of density-density correlation length. The effect of interaction on the entanglement entropy density is determined by the ratio of the potential barrier to the temperature and peaks at an intermediate temperature, while the high- and low-temperature regimes are dominated by the noninteracting answer.

Details

show
hide
Language(s):
 Dates: 2021-09-092021-09-01
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review A
  Other : Physical Review A: Atomic, Molecular, and Optical Physics
  Other : Phys. Rev. A
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: New York, NY : American Physical Society
Pages: - Volume / Issue: 104 (3) Sequence Number: 032408 Start / End Page: - Identifier: ISSN: 1050-2947
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012_2