Oscillating terms in the Renyi entropy of Fermi gases and liquids

Brian Swingle, Jeremy McMinis, and Norm M. Tubman
Phys. Rev. B 87, 235112 – Published 12 June 2013

Abstract

In this work we compute subleading oscillating terms in the Renyi entropy of Fermi gases and liquids corresponding to 2kF-like oscillations. Our theoretical tools are the one-dimensional formulation of Fermi liquid entanglement familiar from discussions of the logarithmic violation of the area law and quantum Monte Carlo calculations. The main result is a formula for the oscillating term for any region geometry and a spherical Fermi surface in any dimension. Specializing to two dimensions, we compare this term to numerical calculations of Renyi entropies using the correlation function method and find excellent agreement. We also compare with quantum Monte Carlo data on interacting Fermi liquids where we also find agreement up to moderate interaction strengths.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 15 January 2013

DOI:https://doi.org/10.1103/PhysRevB.87.235112

©2013 American Physical Society

Authors & Affiliations

Brian Swingle

  • Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Jeremy McMinis

  • Department of Physics, University of Illinois at Urbana Champaign, Urbana, Illinois 61820, USA and Lawrence Livermore National Laboratory, Livermore, California 94550, USA

Norm M. Tubman

  • Department of Physics, University of Illinois at Urbana Champaign, Urbana, Illinois 61820, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 87, Iss. 23 — 15 June 2013

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×