Reduced and extended weak coupling limit

• Autorzy: Jan Dereziński , Wojciech De Roeck
• Języki publikacji: EN

Abstrakty

EN

The main aim of our lectures is to give a pedagogical introduction to various mathematical formalisms used to describe open quantum systems: completely positive semigroups, dilations of semigroups, quantum Langevin dynamics and the so-called Pauli-Fierz Hamiltonians. We explain two kinds of the weak coupling limit. Both of them show that Hamiltonian dynamics of a small quantum system interacting with a large resevoir can be approximated by simpler dynamics. The better known reduced weak coupling limit leads to completely positive dynamics. The main topic of our lecture notes, the extended weak coupling limit, also known as the stochastic limit, leads to quantum Langevin dynamics. Our lecture notes are based partly on the results of our recent articles [DD1, DD2].

Kategorie tematyczne

• 47N50: Applications in the physical sciences
• 81Q99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 91-119

Daty

wydano

2007

Twórcy

autor

Jan Dereziński

• Department of Mathematical Methods in Physics, Warsaw University, Hoża 74, 00-682 Warszawa, Poland

autor

Wojciech De Roeck

• Instituut voor Theoretische Fysica, K.U. Leuven, Belgium

Identyfikatory

DOI

10.4064/bc78-0-7