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DTSTART:20070311T020000
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DTSTAMP:20211105T181535
DTSTART;TZID=America/Detroit:20211105T150000
DTEND;TZID=America/Detroit:20211105T160000
SUMMARY:Workshop / Seminar:Applied Interdisciplinary Mathematics (AIM) Seminar
DESCRIPTION:I will describe a few algorithmic advances which reduce computational bottlenecks in simulations of quantum many-body dynamics. In time-dependent density functional theory (TDDFT)\, the many-body wavefunction is approximated using a collection of single-particle wavefunctions\, which independently satisfy the SchrÃ¶dinger equation and are coupled through an effective potential. I will introduce a high-order\, FFT-based solver for free space (nonperiodic) problems in TDDFT which sidesteps the usual requirement of imposing artificial boundary conditions. Many-body Green's functions\, which describe correlations between quantum observables\, enable practical simulations beyond the effective one-body picture of TDDFT. The Green's functions satisfy history dependent Volterra integro-differential equations with kernel nonlinearities. I will outline efficient history integration algorithms which significantly extend feasible propagation times in both equilibrium and nonequilibrium calculations. Speaker(s): Jason Kaye (Flatiron Institute)
UID:84636-21624300@events.umich.edu
URL:https://events.umich.edu/event/84636
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - ZOOM
CONTACT:
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