Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Executive Committee 
 Postdocs 
 Visitors 
 Students 
 Research 
 Publications 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 P/T Colloquia 
 Archive 
 Ulam Scholar 
 
 Postdoc Nominations 
 Student Requests 
 Student Program 
 Visitor Requests 
 Description 
 Past Visitors 
 Services 
 General 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
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