< Back to "Mathematical and Theoretical Physics Seminar" channel

Ping Gao - More is different: a path from integrability to quantum chaos

views comments

Mathematical and Theoretical Physics Seminar Thr. 12/5 1PM, LLP 464
Ping Gao, Rutgers University
More is different: a path from integrability to quantum chaos

Abstract: We construct a new family of quantum chaotic models by combining multiple copies of integrable commuting SYK models. As each copy of the commuting SYK model does not commute with others, this construction breaks the integrability of each commuting SYK and the family of models demonstrates the emergence of quantum chaos. We study the spectrum of this model analytically in the double-scaled limit. As the number of copies tends to infinity, the spectrum becomes compact and equivalent to the regular SYK model. For finite d copies, the spectrum is close to the regular SYK model in UV but has an exponential tail in the IR. We identify the reciprocal of the exponent in the tail as a critical temperature T_c, above which the model should be quantum chaotic. T_c monotonically decreases as d increases, which expands the chaotic regime over the non-chaotic regime. We propose the existence of a new phase around T_c, and the dynamics should be very different in two phases. We further carry out numeric analysis at finite d, which supports our proposal. I will also comment on the implication of the critical temperature to future quantum simulations of quantum chaos and quantum gravity.

…Read more Less…

Tags

	Contact Technology Services to report an issue, offer feedback, or request assistance.
	Technology Services Home \| Kaltura Help \| Privacy Policy
	Illinois Media Space, © 2022 Board of Trustees of the University of Illinois

Ping Gao - More is different: a path from integrability to quantum chaos

Related Media