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BEGIN:VEVENT
DTSTAMP:20260825T083200Z
LAST-MODIFIED:20181109T193156Z
DTSTART:20181114T200000Z
DTEND:20181114T210000Z
UID:event2049@bu.edu
URL:http://physics.bu.edu/internal/events/show/2049
SUMMARY:Extracting Lyapunov exponents and ergodization time of chaotic many
	-particle systems from Loschmidt echoes and out-of-time-order correlators
DESCRIPTION:Featuring Andrei Tarkhov\, Skolkovo Institute of Science and Te
	chnology\n\nPart of the Biophysics/Condensed Matter Seminar Series.\n\nWe s
	uggest an experimentally feasible routine for demonstrating Lyapunov instab
	ility\, testing ergodicity and estimating ergodization time in chaotic clas
	sical many-particle systems by monitoring equilibrium noise of virtually an
	y observable before and after time reversal of dynamics (Loschmidt echo). W
	e discuss a quantum counterpart of the method involving out-of-time-order c
	orrelators (OTOCs). The ergodization time is defined as the typical time re
	quired for extracting the largest Lyapunov exponent from a system’s dynam
	ics. For illustration\, we apply the method to a lattice of coupled Bose-Ei
	nstein condensates in the classical regime describable by the discrete Gros
	s-Pitaevskii equation. We corroborate our theoretical analysis by direct nu
	merical simulations demonstrating that the largest Lyapunov exponent and\, 
	if the system passes the ergodicity test\, the ergodization time can indeed
	 be extracted from Loschmidt echoes.\n[1] A. E. Tarkhov\, B. V. Fine\, arXi
	v:1804.09732 (2018).\n[2] A. E. Tarkhov\, S. Wimberger\, and B. V. Fine\, P
	hys. Rev. A. 96\, 023624 (2017).
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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