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CATEGORIES:Theoretical Physics Seminars
SUMMARY:Quantum integrability from the entanglement spectr
um - Zlatko Papic (Leeds)
DTSTART:20170202T134500Z
DTEND:20170202T150000Z
UID:TALK2362AT
URL:/talk/index/2362
DESCRIPTION:Quantum many-body systems are challenging to study
because of their exponentially large Hilbert spac
es\, but at the same time they represent an arena
for exciting new physics which results from intera
ctions between particles. For theoretical purposes
\, it is convenient to know if such systems can be
expressed in a "simple" ways in terms of some nea
rly-free quasiparticles\, or more generally if one
can construct a large set of operators that appro
ximately commute with the system’s Hamiltonian. In
this talk I will discuss two ways of approaching
these questions using the "entanglement spectrum".
In the first part\, I will show that strongly dis
ordered systems in the many-body localized phase h
ave a universal power-law structure in their entan
glement spectra. This is a consequence of their lo
cal integrability\, and distinguishes such states
from typical ground states of gapped systems. In t
he second part\, I will introduce a notion of “int
eraction distance” and show that the entanglement
spectrum can be used to quantify “how far” an inte
racting ground state is from a free (Gaussian) sta
te. I will discuss some examples of quantum spin c
hains and outline a few future directions.\n\n[1]
M. Serbyn\, A. Michailidis\, D. Abanin\, Z. Papic\
, arXiv:1605.05737.\n[2] C. J. Turner\, K. Meichan
etzidis\, Z. Papic\, and J. K. Pachos\, arXiv:1607
.02679.\n\n
LOCATION:Theory Library
CONTACT:Mike Gunn
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