PIRSA:06040025 Scientific Series Quantum Information

DOI10.48660/06040025

Series: Perimeter Institute Quantum Discussions

Gioev, D. (2006). Entanglement entropy of fermions and the Widom conjecture. Perimeter Institute. https://pirsa.org/06040025

Gioev, Dimitri. Entanglement entropy of fermions and the Widom conjecture. Perimeter Institute, Apr. 26, 2006, https://pirsa.org/06040025 

@misc{ pirsa_PIRSA:06040025,
  doi = {10.48660/06040025},
  url = {https://pirsa.org/06040025},
  author = {Gioev, Dimitri},
  keywords = {Quantum Information},
  language = {en},
  title = {Entanglement entropy of fermions and the Widom conjecture},
  publisher = {Perimeter Institute},
  year = {2006},
  month = {apr},
  note = {PIRSA:06040025 see, \url{https://pirsa.org}}
}

Abstract

Entanglement entropy is currently of interest in several areas in physics, such as condensed matter, field theory, and quantum information. One of the most interesting properties of the entanglement entropy is its scaling behavior, especially close to phase transitions. It was believed that for dimensions higher than 1 the entropy scales like surface area of the subsystem. We will describe a recent result for free fermions at zero temperature, where the entropy in fact scales faster. The latter problem will be related to a mathematical conjecture due to H. Widom (1982). This is a joint work with I. Klich.

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