[qmeso-seminar] семинар сектора 22 ноября

[Mikhail A. Skvortsov]

                     СЕМИНАР СЕКТОРА КВАНТОВОЙ МЕЗОСКОПИКИ

                         пятница 22 ноября, 15:00, ИТФ


                      А. Каменев (University of Minnesota)

  Statistical mechanics of Coulomb gases as quantum theory on Riemann surfaces


A number of physical problems may be formulated in terms of non-Hermitian
quantum theories. A notable example is provided by mapping of 1D Coulomb gases
onto an effective non-Hermitian Quantum Mechanics. Employing methods from
algebraic topology we describe a non-perturbative method of instanton calculus
for non-Hermitian Hamiltonians. Treating momentum and coordinate as complex
variables yields Riemann surfaces of complex energy. The classical and instanton
actions are given by the periods of this surface. We demonstrate the accuracy of
this analytic procedure in comparison with numerical simulations for a class of
periodic non-Hermitian Hamiltonians, as well as the validity of the
Bohr-Sommerfeld quantization and Gamow’s formula in these cases.