חדשות ואירועים

Holon Physics Seminar 9.3.17

Quantum Chaos in Many-Particle Systems
 
Dr. Boris Gutkin, Duisburg-Essen University & Georgia Tech
 

March 09, 2017 | 11:00 | Room 424/8

 
 
Abstract:
In plain words chaos refers to extreme dynamical  instability and unpredictability. Yet in spite of such inherent instability, quantum systems with classically chaotic dynamics exhibit remarkable universality. In particular, their  energy levels often  display the universal statistical properties which can be effectively described by Random Matrix Theory.
 
From the semiclassical point of view this remarkable phenomenon can be attributed to the existence of pairs of classical periodic orbits with small action differences. So far, however, the scope of this  theory has, by and large, been restricted to single-particle systems.
 
I will discuss recent efforts to extend this program to a class of  systems with a very large number of particles. The crucial ingredient of our approach is a two-dimensional symbolic dynamics which allows an effective representation of periodic orbits and their pairings. I will illustrate the theory with a specific model of coupled cat maps, where such a symbolic dynamics can be constructed explicitly.