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BEGIN:VEVENT
DTSTAMP:20260826T020754Z
LAST-MODIFIED:20201216T150041Z
DTSTART:20201218T170000Z
DTEND:20201218T180000Z
UID:event2390@bu.edu
URL:http://physics.bu.edu/internal/events/show/2390
SUMMARY:Multifractality meets entanglement: relation for non-ergodic extend
	ed states
DESCRIPTION:Featuring Giuseppe De Tomasi\, Cambridge University\n\nPart of 
	the Biophysics/Condensed Matter Seminar Series.\n\nIt  is  now  well  estab
	lished  that  entanglement  plays a  central role  on  the  thermalization 
	process of quantum many-body systems. On the other hand\, ergodicity is dee
	ply connected to the notion of chaos\, which implies also an equipartition 
	of the wave-function over the available many-body Fock states\, which is us
	ually quantified by multi-fractal analysis.\n\nIn this talk\, I will discus
	s a link between ergodic properties extracted from entanglement entropy and
	 the ones from multi-fractal analysis [1]. I will show a generalization of 
	the work of Don. N. Page [2] for the entanglement entropy\, to the case of 
	non-ergodic but extended (NEE) states. By implementing the NEE states with 
	a new and simple class of random states\, which live in a fractal of the Fo
	ck space\, I will compute\, both analytically and numerically\, its von Neu
	mann/Renyi entropy. Remarkably\, I will show that the entanglement entropie
	s can still present a fully ergodic behavior\, even though the wave-functio
	n lives in a vanishing ratio of the full Hilbert space in the thermodynamic
	 limit.\n\nIn the final part of the talk\, I will apply the aforementioned 
	results to analyze the breakdown of thermalization in kinematically constra
	ined models having Fock/Hilbert space fragmentation [3].\n\nReferences:\n\n
	[1] Phys. Rev. Lett. 124\, 200602 (2020)\n[2] Phys. Rev. Lett. 71\, 1291 (1
	993)\n[3] Phys. Rev. B 100\, 214313 (2019)\n\nhttps://bostonu.zoom.us/j/987
	31662171?pwd=VGVvSEZLZUlRa0xNbUgvWGh6THA3Zz09
LOCATION: \, \, 
STATUS:CONFIRMED
CLASS:PUBLIC
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