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DTSTAMP:20260918T221829Z
LAST-MODIFIED:20140128T155925Z
DTSTART:20140205T160000Z
DTEND:20140205T170000Z
UID:event1215@bu.edu
URL:http://physics.bu.edu/internal/events/show/1215
SUMMARY: Many-body localization: Local integrals of motion\, area-law entan
	glement\, and quantum dynamics
DESCRIPTION:Featuring Dmitry Abanin\, Perimeter Institute\nHosted by: Anato
	li Polkovnikov\n\nPart of the Condensed Matter Theory Seminar Series.\n\nAb
	stract:\nWe demonstrate that the many-body localized phase is characterized
	 by the existence of infinitely many local conservation laws. We argue that
	 many-body eigenstates can be obtained from product states by a sequence of
	 nearly local unitary transformation\, and therefore have an area-law entan
	glement entropy\, typical of ground states. Using this property\, we constr
	uct the local integrals of motion in terms of projectors onto certain linea
	r combinations of eigenstates [1]. The local integrals of motion can be vie
	wed as effective quantum bits which have a conserved z-component that canno
	t decay. Thus\, the dynamics is reduced to slow dephasing between distant e
	ffective bits. For initial product states\, this leads to a characteristic 
	slow power-law decay of local observables\, which is measurable experimenta
	lly\, as well as to logarithmic in time growth of entanglement entropy [2\,
	3]. We support our findings by numerical simulations of random-field XXZ sp
	in chains. Our work shows that the many-body localized phase is locally int
	egrable\, reveals a simple entanglement structure of eigenstates\, and esta
	blishes the laws of dynamics in this phase.\n\n[1] M. Serbyn\, Z. Papic\, D
	. A. Abanin\, Phys. Rev. Lett. 111\, 127201 (2013).\n[2] Jens H. Bardarson\
	, Frank Pollmann\, and Joel E. Moore\, Phys. Rev. Lett. 109\, 017202 (2012)
	. \n[3] M. Serbyn\, Z. Papic\, D. A. Abanin\, Phys. Rev. Lett. 110\, 260601
	 (2013)
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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