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DTSTAMP:20260816T181801Z
LAST-MODIFIED:20201204T165428Z
DTSTART:20201211T180000Z
DTEND:20201211T190000Z
UID:event2385@bu.edu
URL:http://physics.bu.edu/internal/events/show/2385
SUMMARY:Adiabatic Eigenstate Deformations as a Sensitive Probe for Quantum 
	Chaos
DESCRIPTION:Featuring Mohit Pandey\, Boston University\, Physics Department
	\n\nPart of the Departmental Seminars.\n\nIn the past decades\, it was reco
	gnized that quantum chaos\, which is essential for the emergence of statist
	ical mechanics and thermodynamics\, manifests itself in the effective descr
	iption of the eigenstates of chaotic Hamiltonians through random matrix ens
	embles and the eigenstate thermalization hypothesis. Standard measures of c
	haos in quantum many-body systems are level statistics and the spectral for
	m factor. In this work [1]\, we show that the norm of the adiabatic gauge p
	otential\, the generator of adiabatic deformations between eigenstates\, se
	rves as a much more sensitive measure of quantum chaos. We are able to dete
	ct transitions from integrable to chaotic behavior at perturbation strength
	s orders of magnitude smaller than those required for standard measures. Us
	ing this alternative probe in two generic classes of spin chains\, we show 
	that the chaotic threshold decreases exponentially with system size and tha
	t one can immediately detect integrability-breaking (chaotic) perturbations
	 by analyzing infinitesimal perturbations even at the integrable point. In 
	some cases\, small integrability breaking is shown to lead to anomalously s
	low relaxation of the system\, exponentially long in system size.\n\n [1] h
	ttps://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.041017\n\n\nPhD Di
	ssertation Committee: Profs. Liam Fitzpatrick (Chair)\, David K Campbell (F
	irst Reader)\, Anatoli Polkovnikov (Second Reader) \, Alex Sushkov\, and Pa
	nkaj Mehta.\n\nZoom link:\nhttps://bostonu.zoom.us/j/93353466732?pwd=ZDJ2RE
	NnaHdOYXhkSDJaVmFUZXljZz09\n\nMeeting ID: 933 5346 6732\n\nPasscode: 234795
LOCATION: \, \, 
STATUS:CONFIRMED
CLASS:PUBLIC
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