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BEGIN:VEVENT
DTSTAMP:20260816T001928Z
LAST-MODIFIED:20190506T194254Z
DTSTART:20190508T150000Z
DTEND:20190508T160000Z
UID:event2135@bu.edu
URL:http://physics.bu.edu/internal/events/show/2135
SUMMARY:Local constraints can globally shatter Hilbert space
DESCRIPTION:Featuring Vedika Khemani\, Harvard University\nHosted by: Anato
	li Polkovnikov\n\nPart of the Biophysics/Condensed Matter Seminar Series.\n
	\nThe dynamics of constrained systems is a subject of much recent interest.
	 In this talk\, I will show how local constraints can globally "shatter" Hi
	lbert space into subsectors\, leading to an unexpected dynamics with featur
	es reminiscent of both many body localization and quantum scars. A crisp ex
	ample of this phenomenon is provided by a "fractonic circuit" - a model of 
	quantum circuit dynamics in one dimension constrained to conserve both char
	ge and dipole moment. I will show how the Hilbert space of the fractonic ci
	rcuit dynamically fractures into disconnected emergent subsectors within a 
	particular charge and dipole symmetry sector. A large number of the emergen
	t subsectors\, exponentially many in the size of the system\, have dimensio
	n one and exhibit strictly localized quantum dynamics---even in the absence
	 of spatial disorder and in the presence of temporal noise. I will prove th
	at exponentially large localized subspaces exist for any one dimensional fr
	actonic circuit with finite spatial range\, providing a potentially new rou
	te for the robust storage of quantum information.  The shattering of a part
	icular symmetry sector into a distribution of dynamical subsectors with var
	ying sizes leads to the coexistence of high and low entanglement states\, i
	.e. this provides a general mechanism for the production of quantum many bo
	dy scars. I will discuss the detailed pattern of fracturing and its implica
	tions.
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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