Thermal versus entanglement entropy: a measurement protocol for fermionic atoms with a quantum gas microscope

Hannes Pichler, Lars Bonnes, Andrew J Daley, Andreas M Läuchli, Peter Zoller

Research output: Contribution to journalArticle

42 Citations (Scopus)
15 Downloads (Pure)

Abstract

We show how to measure the order-two Renyi entropy of many-body states of spinful fermionic atoms in an optical lattice in equilibrium and non-equilibrium situations. The proposed scheme relies on the possibility to produce and couple two copies of the state under investigation, and to measure the occupation number in a site- and spin-resolved manner, e.g. with a quantum gas microscope. Such a protocol opens the possibility to measure entanglement and test a number of theoretical predictions, such as area laws and their corrections. As an illustration we discuss the interplay between thermal and entanglement entropy for a one dimensional Fermi-Hubbard model at finite temperature, and its possible measurement in an experiment using the present scheme. 

Original languageEnglish
Article number063003
Number of pages17
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 6 Jun 2013

Keywords

  • Renyi entropy
  • spinful fermionic atoms
  • optical lattice
  • equilibrium
  • nonequilibrium
  • entanglement
  • Fermi–Hubbard models

Cite this