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DTSTAMP:20260915T200534Z
LAST-MODIFIED:20140220T165441Z
DTSTART:20140226T160000Z
DTEND:20140226T170000Z
UID:event1216@bu.edu
URL:http://physics.bu.edu/internal/events/show/1216
SUMMARY:Shannon-Renyi entropies and participation spectra in quantum many b
	ody systems
DESCRIPTION:Featuring Dr. David Luitz\, Laboratoire de Physique Theorique\,
	 Toulouse\nHosted by: Thomas Lang\n\nPart of the Condensed Matter Theory Se
	minar Series.\n\nAbstract:\nWe study universal features in the scalings of 
	Shannon-Renyi entropies\nof many-body groundstates for interacting spin-$\f
	rac{1}{2}$ systems.\nIn particular\, their behavior across quantum phase tr
	ansitions\, such as\nin the transverse field Ising model and across (2+1) d
	imensional $O(3)$\ncritical points is extracted using QMC.\n   We show that
	 for both full systems and line shaped subsystems\, the\nbreaking of contin
	uous symmetries is characterized by the presence of a\nlogarithmic term in 
	the scaling of Shannon-Renyi entropies\, which is\nabsent in gapped phases.
	 A constant subleading term is found for the\nbreaking of discrete symmetri
	es. Such a difference in the scalings\nallows to capture the quantum critic
	al points using Shannon-Renyi\nentropies for line shaped subsystems of leng
	th L embedded in L x L tori\,\nas the smaller subsystem entropies are numer
	ically accessible to much\nhigher precision than for the full system.\n   W
	e argue that the value of the subleading terms is universal all over\nthe c
	orresponding phases and find that the constant scaling term at the\ncritica
	l point seems to be determined by the universality class of the\ntransition
	.\n    For the example of the dimerization/plaquettization transition in\nt
	he Heisenberg model\, we also discuss several features of the\nparticipatio
	n spectrum\, consisting of the diagonal elements of the\nreduced density ma
	trix of the line subsystem. In particular the Neel\nordering transition can
	 be simply understood in the Sz basis by a\nconfinement mechanism of ferrom
	agnetic domain walls.\n\nMore details in\n\nD. J. Luitz\, F. Alet and N. La
	florencie\, Phys. Rev. Lett. 112\, 057203\nD. J. Luitz\, F. Alet and N. Laf
	lorencie\, arXiv:1402.???? (Feb 21)
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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