Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 15: ISPS Intersectional Poster Session

DY 15.22: Poster

Dienstag, 15. März 2011, 18:00–20:00, P1

Discrete Wigner function dynamics on rings — •Per Liebermann and Oliver Mülken — Physikalisches Institut, Universität Freiburg, 79104 Freiburg, Germany

The Wigner function provides a representation of quantum mechanics in phase space in terms of a real-valued distribution function. Calculating the Wigner function for a continuous-time quantum walk on a discrete ring for different initial conditions analytically enables us to investigate the dynamics in phase space. Starting with a Gaussian distribution, the dynamics are similar to the case of a coherent state of the harmonic oscillator. Namely, we obtain revivals of the Wigner function at the initial position as well as at the opposite one, i.e. the wave packet oscillates back and forth.