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
Leave a Comment
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
Category: Uncategorised
Following on from our post, highlighting inspiring #WomeninResearch and encouraging #MondayMotiviation to explore these subjects. @ChantalKobel presents Celticist, Nessa Ní Shéaghdha and her contributions to the discipline youtu.be/LGPLltjTBKw #DIASdiscovers
We have entered the last month to capture that amazing photo of the sky and win our Astrophotography competition. We are accepting photographs taken between 01 January 2020 and 31 March 2021. You can submit an entry up to Friday 02nd April 2021. More: dias.ie/reachforthesta…
Meet the Judges of our "Reach for the Stars" Astrophotography competition! @petertgallagher is Head of @DIASAstronomy & has spent the past two decades studying the Sun its impacts on the Earth. To learn more and submit an entry see dias.ie/reachforthesta… #DIASdiscovers
She has over 15 years’ experience working in PR and communications and has wide-ranging experience of providing strategic communications support to organisations. Learn more about the competition and submit an entry 👉dias.ie/reachforthesta… #DIASdiscovers #astrophotography
Meet the Judges of our "Reach for the Stars" Astrophotography competition! @MartinaPQuinn is the Founder & Managing Director of @helloalicepr.
Want to learn more about what's happening on Mars? Check out our public lecture from November delivered Dr John Clinton and titled MarsQuakes! (5/5) youtu.be/_Lp0oLJ8Ahs
And then this Thursday @NASAMars Perseverance rover reaches Mars, which will try to land in a near equatorial crater called Jezero. Here you can see a possible route around the crater. (4/5)
Last Wednesday, the day the UAE revealed their first image of Mars, China's National Space Administration's Tianwen-1 arrived at Mars. This carries a rover which will be despatched to the surface in the coming months. (3/5) bbc.com/news/science-e…
First up is the @uaespaceagency's Hope mission entered orbit this day last week. It is the first inter-planetary mission by the UAE, and will stay in a wide orbit for one Martian year or two earth years to study climate and weather. (2/5)
It's a busy month over at our planetary neighbour Mars. Three missions headed there have or will enter orbit this month. Why so many at one time? They were timed to launch when the distance between the Earth and Mars was relatively short. (1/5)
#WomeninResearch