Quantum Many-Body Integrability, Solvability, and Chaos

Date:
21
Thursday
November
2019
Colloquia
Time: 11:15-12:30
Location: Edna and K.B. Weissman Building of Physical Sciences
Lecturer: Vladimir Rosenhaus
Organizer: Faculty of Physics
Details: IAS
Abstract: This talk is concerned with the question: How can we characterize, find, and sol ... Read more This talk is concerned with the question: How can we characterize, find, and solve quantum field theories and many-body systems that exhibit features of quantum chaos? We describe the recently discovered Sachdev-Ye-Kitaev model: a quantum mechanical system of a large number of fermions with all-to-all quartic, Gaussian-random, interactions that, remarkably, is chaotic, nearly conformally invariant, and solvable. We contrast this with integrable two-dimensional quantum field theories, such as the Sine-Gordon model. We end with some comments on hopes for a framework to find nearly integrable quantum field theories that are nearly solvable.
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