Dynamics of complex quantum systems: dissipation and kinetic equations

Dynamics of complex quantum systems with energy dissipation

1 Abstract A complex quantum system with energy dissipation is considered. The quantum Hamilto-nians H belong the complex Ginibre ensemble. The complex-valued eigenenergies Z i are random variables. The second differences ∆ 1 Z i are also complex-valued random variables. The second differences have their real and imaginary parts and also radii (moduli) and main arguments (angles). For N=3 dimen...

Geometric dissipation in kinetic equations

A new symplectic variational approach is developed for modeling dissipation in kinetic equations. This approach yields a double bracket structure in phase space which generates kinetic equations representing coadjoint motion under canonical transformations. The Vlasov example admits measure-valued single-particle solutions. Such solutions are reversible; and the total entropy is a Casimir, and ...

Kinetic Equations for Quantum Many-Particle Systems

Dynamics of quantum dissipation systems interacting with bosonic canonical bath: hierarchical equations of motion approach.

A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields. An exact hierarchical equations of motion formalism is constructed on the basis of a calculus-on-path-integral algorithm, via the auxiliary influence generati...

ul 2 00 3 Dynamics of complex quantum systems with energy dissipation

1 Abstract A complex quantum system with energy dissipation is considered. The quantum Hamilto-nians H belong the complex Ginibre ensemble. The complex-valued eigenenergies Z i are random variables. The second differences ∆ 1 Z i are also complex-valued random variables. The second differences have their real and imaginary parts and also radii (moduli) and main arguments (angles). For N=3 dimen...