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DTSTAMP:20261024T230657Z
LAST-MODIFIED:20201221T220755Z
DTSTART:20201223T170000Z
DTEND:20201223T180000Z
UID:event2391@bu.edu
URL:http://physics.bu.edu/internal/events/show/2391
SUMMARY:In search of a many-body mobility edge in a quasiperiodic system wi
	th matrix product states
DESCRIPTION:Featuring Nikko Pomata\, Stonybrook\n\nPart of the Biophysics/C
	ondensed Matter Seminar Series.\n\nI will be discussing my recent work arXi
	v:2012.09853 with Sriram Ganeshan and Tzu-Chieh Wei\, in which we investiga
	ted the possibility of a many-body mobility edge in an interacting generali
	zed Aubry-André (GAA) model using Yu\, Pekker\, & Clark's Shift-Invert Mat
	rix Product States (SIMPS) eigenstate extraction method. In the single-part
	icle spectrum\, this one-dimensional quasiperiodic model has a self-duality
	-induced mobility edge. We have used the energy-targeting SIMPS method to e
	xtract candidate eigenstates on either side of a hypothetical many-particle
	 mobility edge. Our primary problem once we have extracted these eigenstate
	s\, which will be the focus of my talk\, is determining which of these cand
	idate eigenstates is a good approximation of a true eigenstate. I will disc
	uss the various metrics we have used to try to differentiate between such "
	good" and "bad" candidates\, from energy error and entropy scaling to Uhlma
	nn fidelities. These methods have allowed us to reach tentative conclusions
	 that several of the regions studied behave in a generally delocalized mann
	er\, while leaving open the possibility of a mobility edge at one of the pa
	rameters under consideration. I will conclude by exploring the ways we may 
	extend our analysis to add rigor to our conclusions.\n\nJoin on zoom: https
	://bostonu.zoom.us/j/97175119145?pwd=N1c1SkVYT0x1RjJJbGFsVTIxdzJYQT09
LOCATION: \, \, 
STATUS:CONFIRMED
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