Abstract: In classical and quantum mechanics the term integrability refers to an algebraic procedure which reduces an interacting system to a non-interacting one. Even though integrability is exceptional in nature it is often encountered in important phenomenological and fundamental models of many-body physics and field theory. An appealing mathematical framework of integrability has been put forward by C. N. Yang and R. Baxter which unified the treatment of exactly solvable systems in d+1 dimensional equilibrium classical statistical mechanics and d dimensional quantum mechanics. These techniques, known also as algebraic Bethe ansatz or quantum soliton theory, have been further elaborated by the celebrated Leningrad school of mathematical physics. After a historical overview I shall focus quantum transport in 1d. I will explain how integrability structures can be relevant or irrelevant for the observable phenomena. I will show how the steady state problem for the quantum Heisenberg chain driven far from equilibrium can bring into the game new fundamental structures, such as quasi-local conservation laws.
Seminarsko predavanje (v angleškem jeziku) bo v sredo 12. junija 2013 ob 15:15 uri v seminarski sobi CAMTP na Krekovi 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.