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TBA
Tue 6 May 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
TBA
TBA
Tue 6 May 2014, 3:30pm-4:30pm

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UC Berkeley
Mon 12 May 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012 (PIMS building)
TBA
ESB 2012 (PIMS building)
Mon 12 May 2014, 3:30pm-4:30am

Abstract


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University of Hagen
Tue 13 May 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 4127
Scaling of R\'enyi entanglement entropies of the free Fermi-gas ground state
ESB 4127
Tue 13 May 2014, 3:30pm-4:30pm

Abstract

In the remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bi-partite von-Neumann entanglement entropy of non-interacting fermions in multi-dimensional Euclidean space at zero temperature. Based on recent progress by one of us (A.V.S.) in semi-classical functional calculus for pseudo-differential operators with discontinuous symbols, we provide here a complete proof of that formula and of its generalization to R\'enyi entropies of all orders \alpha>0. The special case \alpha=1/2 is also known under the name logarithmic negativity and often considered to be a particularly useful quantification of entanglement. These formulas, exhibiting a ``logarithmically enhanced area law'', have been used already in many publications.

This is joint work with Hajo Leschke and Alexander V. Sobolev which will be published in Phys. Rev. Lett.
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Seoul National University, Korea.
Thu 12 Jun 2014, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
Date, time, location, TBA
TBA
Date, time, location, TBA
Thu 12 Jun 2014, 3:30pm-4:30pm

Abstract


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