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Quantum Simulation and Spectroscopy of Entanglement Hamiltonians

Event Details

Event Dates: 

Friday, July 21, 2017 - 12:30pm

Seminar Location: 

  • JILA X317

Speaker Name(s): 

Benoit Vermersch

Speaker Affiliation(s): 

University of Innsbruck
Seminar Type/Subject

Scientific Seminar Type: 

  • JILA Public Seminar

Event Details & Abstract: 

The entanglement spectrum, is essential to characterize various phases in condensed matter physics (such as Fractional Quantum Hall effect or Haldane phase). In this talk, I will show how to measure the entanglement spectrum of ground states of generic Hamiltonians based on direct engineering of the entanglement Hamiltonian. Our method, based on the Bisognano-Wichmann theorem, allows to measure entanglement spectra via standard spectroscopy and can be implemented in all quantum simulation platforms. I will provide numerical examples to support this result and give examples of AMO implementations of entanglement Hamiltonians. As an outlook, I will present a method to measure Renyi entropies based on Random Matrix Theory.