Title: Entanglement in the Quantum Hall System and a Generalized Chern-Simons Form
Abstract: We analyze some features of the entanglement entropy for an integer quantum Hall state in comparison with ideas from relativistic field theory and noncommutative geometry. We present arguments that the main part of the dependence of the entanglement entropy on background gauge fields and geometric data such as the spin connection is given by a
generalized Chern-Simons form. The spectrum of the modular operator, for a restricted class of states, is shown to be similar to the case of relativistic field theory. Implications of this result for bringing together ideas of noncommutative geometry, entropy and gravity are briefly commented upon.
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Last Updated: 18th May 2020 by George Rogers
Parameswaran Nair (City College of New York, CUNY)
Title: Entanglement in the Quantum Hall System and a Generalized Chern-Simons Form
Abstract: We analyze some features of the entanglement entropy for an integer quantum Hall state in comparison with ideas from relativistic field theory and noncommutative geometry. We present arguments that the main part of the dependence of the entanglement entropy on background gauge fields and geometric data such as the spin connection is given by a
generalized Chern-Simons form. The spectrum of the modular operator, for a restricted class of states, is shown to be similar to the case of relativistic field theory. Implications of this result for bringing together ideas of noncommutative geometry, entropy and gravity are briefly commented upon.
Talk – PDF
Talk – Video
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