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BEGIN:VEVENT
DTSTAMP:20261019T001447Z
LAST-MODIFIED:20180214T162949Z
DTSTART:20180216T170000Z
DTEND:20180216T180000Z
UID:event1924@bu.edu
URL:http://physics.bu.edu/internal/events/show/1924
SUMMARY:Entanglement Spectrum in Quantum Many-Body Dynamics and Braiding of
	 Non-Abelian Anyons
DESCRIPTION:Featuring Zhicheng Yang \, Boston University\, Physics Departme
	nt\n\nPart of the Condensed Matter Theory Seminar Series.\n\nWe study the e
	ntanglement spectrum of highly entangled states in two different contexts: 
	(1) time evolved states after a quantum quench with Hamiltonians exhibiting
	 different dynamical phases; (2) braiding of non-abelian anyons capable or 
	not of universal quantum computation. In the first case\, we show that the 
	three distinct dynamical phases known as thermalization\, Anderson localiza
	tion\, and many-body localization are marked by different patterns in the e
	ntanglement spectrum after a quantum quench. While the entanglement spectru
	m displays Poisson statistics for the case of Anderson localization\, it di
	splays universal Wigner-Dyson statistics for both the cases of many-body lo
	calization and thermalization\, albeit within very different time scales. W
	e further show that the complexity of entanglement\, revealed by the possib
	ility of disentangling the state through a Metropolis-like algorithm\, is s
	ignaled by whether the entanglement spectrum is Poisson or Wigner-Dyson. In
	 the second part\, we study the entanglement spectrum of states generated o
	ut of braiding two types of non-abelian anyons: the Majorana fermions and t
	he Fibonacci anyons. We show that the information on whether certain repres
	entations of the braid group associated with non-abelian anyons are capable
	 of universal quantum computation can also be extracted from the entangleme
	nt spectrum.
LOCATION:SCI 352\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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