fyi. It's unfortunate that I will be out of town.
Best,
Ramis
---------- Forwarded message ----------
From: Zhengcheng Gu <zhengchenggu(a)gmail.com>
Date: Wed, Nov 19, 2014 at 4:00 PM
Subject: Re: [CMT Seminar] Announcing Condensed Matter Physics Seminar on
Wednesday 10/22: Zheng-Cheng Gu
To: "cmt_seminar(a)mit.edu" <cmt_seminar(a)mit.edu>
Dear All:
Prof. Kitaev will give talk at Harvard on Thursday 1:30pm. The lecture room
is 530, Science Center(Math Department). Here is the title and abstact.
Title: "Short-range entangled phases and homotopy theory"
Abstract
I will give an informal definition of a short-range entangled state of
spins or fermions on an n-dimensional lattice. The set of such states (say,
in the spin case) is some topological space B_n, and the sequence B_0,
B_1,.. is a homotopy spectrum. Although only a few members of this sequence
are known, there is a formal procedure to construct a similar sequence for
short-range entangled states that are invariant under a local action of a
compact Lie group.
best regards,
Zhengcheng
2014-10-17 15:43 GMT-04:00 Chong Wang <phchong(a)mit.edu>du>:
Dear all,
Please join us at 12:00 on Wednesday, October 22nd, for a Condensed Matter
Physics Seminar by Zheng-Cheng Gu from Perimeter Institute. The seminar
will be held in the Duboc Seminar Room (4-331). Please see details of
Zheng-Cheng's presentation below:
Speaker: Zheng-Cheng Gu, Perimeter Institute
Title : Vortex-line condensation in three dimensions: A physical mechanism
of bosonic topological insulators
Abstract :
Bosonic topological insulators (BTI) in three spatial dimensions are
symmetry-protected topolog-
ical phases (SPT) with U(1) and Z_2^T symmetry, where U(1) is boson
particle number conservation, and
Z_2^T is time-reversal symmetry with T^2 = 1. Such kinds of new quantum
phases were recently pro-
posed based on group cohomology theory, later, their corresponding surface
anomalous topological
orders were proposed, which even leads to new BTI phases beyond group
cohomology classiffication.
Nevertheless, it is still unclear what is the universal physical mechanism
for BTI phases and what
kinds of microscopic Hamiltonians can realize them. In this talk, I
propose a universal physical
mechanism for BTI phases via vortex-line condensation. Based on such a
simple physical picture, we
find three kinds of BTI root phases, in which two of them are classiffied
by group cohomology theory
while the rest is beyond group cohomology class. The vortex-line
condensation picture also leads
to a "natural" bulk dynamic topological quantum field theory(TQFT)
description for BTI phases
and gives rise to a physical way of thinking towards experimental
realizations. Finally, we gener-
alize the vortex-line condensation picture into other symmetries and find
that in three dimensions,
even for a unitary Z_2 symmetry, there is a nontrivial Z_2 SPT phase
beyond the group cohomology
classification.
Date: October 22, 2014
Time: 12:00
Location: Duboc Seminar Room (4-331)
Host: Xiao-Gang Wen
_______________________________________________
CMT_seminar mailing list
CMT_seminar(a)mit.edu
http://mailman.mit.edu/mailman/listinfo/cmt_seminar
_______________________________________________
qip mailing list
qip(a)mit.edu
http://mailman.mit.edu/mailman/listinfo/qip