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BEGIN:VEVENT
DTSTAMP:20261020T161630Z
LAST-MODIFIED:20160211T200142Z
DTSTART:20160212T144500Z
DTEND:20160212T154500Z
UID:event1554@bu.edu
URL:http://physics.bu.edu/internal/events/show/1554
SUMMARY:The Quantum Geometric Tensor: Novel Applications in Isolated Quantu
	m System
DESCRIPTION:Featuring Tiago Grangeiro Souza\n\nPart of the Departmental Sem
	inars.\n\nDissertation Committee:  Anatoli Polkovnikov\, Claudio Chamon\, S
	hyam Erramilli\, Alexander Sushkov\, Pankaj Mehta\n\nAbstract:\n\nGeometric
	 ideas always played an important role in the understanding\nand the unicat
	ion of physical phenomena. The main objective of this talk\nis to highlight
	 several novel geometrical and topological properties of isolated\nquantum 
	systems characterized by the quantum geometric tensor.\nFirst\, we show how
	 the knowledge of such properties allows one to explore\ntopologically prot
	ected regions by adiabatically breaking and re-establishing\nsymmetries. Ne
	xt\, by calculating shortest paths between dierent points in\nHilbert space
	\, we develop optimal protocols for adiabatic state preparation\,\nwhich we
	re used in recent experiments with superconducting qubits. These\ngeodesic 
	paths are shown to optimize important quantities such as the mean\ndelity a
	nd squared energy variance. Further\, we establish how topological\ncharges
	 are protected and what that means for the topological characteriza-\ntion 
	of dierent Hamiltonians. Finally\, we discuss the logarithmic divergence\no
	f the quantum geometric tensor with respect to the system size. A similar\n
	divergence behavior is observed for the entanglement entropy in conformal\n
	eld theories and also for the entropy of black-holes.\n\n![Tiago](/resource
	s/event-image/1554/530aa9c_small)
LOCATION:SCI 328\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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