Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 P/T Colloquia 
 Kac Lectures 
 Kac Fellows 
 Dist. Quant. Lecture 
 Ulam Scholar 
 CNLS Fellowship Application 
 Summer Research 
 Past Visitors 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Thursday, March 10, 2016
12:30 PM - 1:30 PM
T-DO Conference Room (TA-3, Bldg 123 Room 121)

Quantum Lunch

Integrable Matrix Theory (or What's Quantum Integrability and Who Cares?)

Emil Yuzbashyan
Rutgers University

A sound notion of integrability for quantum systems has remained elusive for decades. As a result, conditions for e.g. the absence of thermalization, Poisson level statistics, and level crossings in integrable Hamiltonians are similarly vague. This is particularly relevant nowadays when dynamical and equilibrium properties of many integrable systems became experimentally accessible. In this talk, I will propose a surprisingly simple and yet unambiguous notion of quantum integrability leading to specific results, such as new integrable models, ensemble theory of quantum integrability (Integrable Matrix Theory, cf. Random Matrix Theory for chaotic systems) and precise criteria for Poisson statistics and level crossings. I will also explain in simple terms and prove the Generalized Gibbs Ensemble for nonlinear integrable dynamics.

Host: Nikolai Sinitsyn