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DTSTAMP:20261020T102053Z
LAST-MODIFIED:20160922T152947Z
DTSTART:20160926T150000Z
DTEND:20160926T160000Z
UID:event1671@bu.edu
URL:http://physics.bu.edu/internal/events/show/1671
SUMMARY:Imaginary Time Dynamics of Low Energy Modes in Heisenberg Antiferro
	magnets
DESCRIPTION:Featuring Phillip Weinberg\n\nPart of the Preliminary Oral Exam
	.\n\nExamining Committee: : Anders Sandvik\, Anatoli Polkovnikov\, Emanuel 
	Katz\, Shyam Erramilli \n\nAbstract: Monte Carlo (MC) methods have proven i
	ncredibly important to our understanding of the equilibrium behaviour of bo
	th classical and quantum systems. As the current understanding of equilibri
	um physics is pretty well established in terms of statistical mechanics and
	 so there has been a push to see how these equilibrium MC methods can be us
	ed to probe questions in non-equilibrium physics. For Classical systems sta
	ndard MC methods have been very successful in probing Kibble-Zurek (KZ) phy
	sics by dynamically ramping temperature (or some other parameter) treating 
	time as the number of MC sweeps. For quantum systems\, Quantum Monte Carlo 
	(QMC) methods have been adapted to solve the dynamics of the imaginary time
	 Schrodinger equation which has allowed for detailed studies of KZ physics 
	of quantum critical systems as well as measuring part of the quantum geomet
	ric tensor. Here we use Imaginary time dynamics study the low energy states
	 of two variations of spin-1/2 Heisenberg Anti-ferromagnets in 2-dimensions
	. To this end we prepare an initial state with perfect Ne´el order along t
	he z-axis and then evolve with the state in imaginary time with rotationall
	y symmetric Hamiltonian (e.g. evolve with U(τ) = exp(−τH)). We systemat
	ically measure the relaxation time of the staggered magnetization along the
	 z-axis as a function of the system size and find that the relaxation time
	 diverges as Lz∞. For each system we show that value of z∞ is related t
	o the finite size scaling of the low energy states of Hamiltonian.\n\n![Ph
	ilip](/resources/event-image/1671/e6282f3_original)
LOCATION:SCI 352\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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