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McKelvey School of Engineering

Physics Colloquium: Quantum Chirikov Criterion

Wednesday, July 28 | 11:00 AM

Virtual Event

We consider a toy model for emergence of chaos in a quantum many-body short-range-interacting system: two one-dimensional hard-core particles in a box, with a small mass defect as a perturbation over an integrable system, the latter represented by two equal mass particles. To that system, we apply a quantum generalization of Chirikov’s criterion for the onset of chaos, i.e. the criterion of overlapping resonances. There, classical nonlinear resonances translate almost verbatim to the quantum language. Quantum mechanics intervenes at a later stage: the resonances occupying less than one Hamiltonian eigenstate are excluded from the chaos criterion. Resonances appear as contiguous patches of low purity unperturbed eigenstates, separated by the groups of undestroyed states—--the quantum analogues of the classical KAM tori.

Contact physics@wustl.edu for viewing information.

Event Type

Seminar/Colloquia

Schools

Arts & Sciences

Topic

Science & Technology

Website

https://artsci.wustl.edu/events/physi...

Event Contact

physics@wustl.edu

Speaker Information
Maxim Olchanyi (Hosted by Alexander Seidel/Alioscia Hamma) from University of Massachusetts Boston will be presenting the colloquium, "Quantum Chirikov Criterion: Two Particles in a Box as a Toy Model for a Quantum Gas"
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