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DTSTAMP:20260824T135120Z
LAST-MODIFIED:20190130T143357Z
DTSTART:20190228T190000Z
DTEND:20190228T200000Z
UID:event2105@bu.edu
URL:http://physics.bu.edu/internal/events/show/2105
SUMMARY:Onset of thermalization in the Hilbert space of isolated many-body 
	systems
DESCRIPTION:Featuring Felix Izrailev\, University of Puebla (Mexico) and Mi
	chigan State University (USA)\nHosted by: David Campbell\n\nPart of the Bio
	physics/Condensed Matter Seminar Series.\n\nWe study analytically and numer
	ically the onset of thermalization in isolated quantum systems with interac
	ting Bose and Fermi particles. To do this\, we use two models: one is the m
	odel of N bosons interacting via two-body random interactions\, and the oth
	er is the 1D integrable model of N spins-1/2. We show that in both models t
	he thermalization emerges due to strong quantum chaos quantified in terms o
	f chaotic structure of many-body eigenstates. One of the important results 
	is that in the quench dynamics the number of components in the wave functio
	n (in the Hilbert space)\, increases exponentially in time provided the eig
	enstates are strongly chaotic. We have developed an analytical approach all
	owing one to show that the time scale of the exponential increase (which is
	 the same as the time scale for a complete thermalization) is proportional 
	to the number of particles. We also studied how the Bose-Einstein distribut
	ion in the first model emerges in time\, thus demonstrating the creation of
	 quantum correlations in the process of a complete relaxation. We discuss h
	ow this process can be described with the use of the Kolmogorov-Sinai entro
	py for the systems with a well-defined classical limit. The results allow u
	s to suggest a new approach to the problem of quantum-classical corresponde
	nce for many-body systems.
LOCATION:SCI 352\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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