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

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Pichler, Hannes and Bonnes, Lars and Daley, Andrew J and Läuchli, Andreas M and Zoller, Peter (2013) Thermal versus entanglement entropy : a measurement protocol for fermionic atoms with a quantum gas microscope. New Journal of Physics, 15. 063003. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/15/6/063003)

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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.

ORCID iDs

Pichler, Hannes, Bonnes, Lars, Daley, Andrew J ORCID logoORCID: https://orcid.org/0000-0001-9005-7761, Läuchli, Andreas M and Zoller, Peter;
  • Item type:Article
    ID code:60702
    Dates:
    Date
    Event
    6 June 2013
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:17 May 2017 09:59
    Last modified:11 Nov 2024 11:22
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/60702
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