(We will also have a group meeting that morning at the usual time with
Fernando Brandao joining us.)
-------
Please join us at *12:30pm *on *Friday, May 12, 2017 *for a * Special
Condensed Matter Physics Seminar* with *Ramis Movassagh, *IBM TJ Watson
Research Center
The seminar will be held in the Duboc room 4-331.
Please see the details of Ramis’ talk below.
*Title:* Supercritical Entanglement: counter-examples to the area law for
quantum matter
*Abstract:* In recent years, there has been a surge of activities in
proposing exactly solvable quantum spin chains with the surprisingly high
amount of ground state entanglement entropies--beyond what one expects from
critical systems describable by conformal field theories (i.e.,
super-logarithmic violations of the area law). We will introduce
entanglement and discuss these models. We prove that the ground state
entanglement entropy is \sqrt(n) and in some cases even extensive (i.e.,
~n) despite the underlying Hamiltonian being: 1. Local 2. Having a unique
ground state and 3. Being translationally invariant in the bulk. These
models have rich connections with combinatorics, random walks, and
universality of Brownian excursions. Lastly, we develop techniques that
enable proving the gap of these models. As a consequence, the gap scaling
of 1/n^c with c>1 that we prove rules out the possibility of these models
having a relativistic conformal field theory description. Time permitting,
we will discuss more recent developments in this direction.
References:
----------------
. Movassagh, Farhi, Goldstone, Nagaj, Osborne, Shor, PRA (2010)
. Bravyi, Caha, Movassagh, Nagaj and Shor, PRL (2012)
. Movassagh and Shor, PNAS, doi:10.1073/pnas.1605716113 (2016)
http://www.pnas.org/content/early/2016/11/02/1605716113.abstract
.
https://arxiv.org/abs/1609.09160
. (with L. Levine)
https://arxiv.org/abs/1611.03147
*Date:* Friday, May 12, 2017
*Time:* 12:30pm
*Room:* Duboc 4-331
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