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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.6: Poster

Donnerstag, 19. März 2020, 15:00–18:00, P1A

Real-time dynamics and thermalization of quantum-classical hybrid systems — •Nicolas Lenzing and Michael Potthoff — I. Institute of Theoretical Physics, Department of Physics, Universität Hamburg

The real-time dynamics of a noninteracting system of fermions is strongly constrained due to a macroscopically large number of conserved quantities such that thermalization of the system in the long-time limit is generally not expected.

We test this expectation for a slightly different setup, namely by coupling a classical degree of freedom to the Fermi-gas system, i.e., we consider fermions confined by an infinite potential well and treat one of the “walls” as a classical dynamical variable.

The time-dependent wall position is governed by a Newtonian equation of motion, including the Fermi-gas pressure, which must be solved simultaneously with the von-Neumann-type equation of motion for the one-particle reduced density matrix of the Fermi subsystem.

In a first step, we discuss fundamental aspects of the dynamics of quantum-classical hybrid systems for the case of a single quantum particle in contact with the classical wall.

In a second step, we study the time evolution towards a thermal state for the case of a Fermi gas in contact with a classical wall which is additionally subjected to an external force and compare with the predictions of thermodynamics.