Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Mathematical and Theoretical Physics Seminar: "More is different: a path from integrability to quantum chaos"

Event Type: Seminar/Symposium
Sponsor: Physics Department
Location: Loomis Room 464
Date: Dec 5, 2024 1:00 pm
Speaker: Ping Gao, Rutgers University
Contact: Ljubica Milutinovic
E-Mail: ljubicam@illinois.edu
Phone: 217-300-6393
Views: 59
Originating Calendar: Physics - Mathematical and Theoretical Physics Seminar; 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.

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