Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Quantum Chaos I

DY 29.1: Talk

Thursday, March 17, 2011, 10:15–10:30, ZEU 255

Planar anharmonic two-electron quantum dots — •Sebastian Schröter, Johannes Eiglsperger, Moritz Schönwetter, and Javier Madroñero — TU München, Physik Department

As a first attempt to understand from first principles an unusual behaviour of the coherence of many-body systems [1,2,3] we propose an ab initio quantum approach for planar two-electron quantum dots. In our approach the quantum dot is approximated by an harmonic potential with an additional quartic perturbation. An appropriate coordinate transformation leads to a finite exact representation of the eigenvalue problem in creation and annihilation operators. In order to investigate the dynamics of the system a novel explicit time propagation method [4,5] is utilised to solve the time dependent Schrödinger equation.

Within this approach we focus on the study of the complex dynamics of the system. In particular we address the quantum fidelity of wave packets to investigate the loss of coherence of the system.

[1] G. Manfredi, P.-A. Hervieux, New J. Phys. 11(2009), 013050.

[2] G. Manfredi, P.-A. Hervieux, Phys. Rev. Lett. 100(2008), 050405.

[3] G. Manfredi, P.-A. Hervieux, Phys. Rev. Lett. 97(2006), 190404.

[4] S. O. Fatunla, Math. Comput. 34(1980), 373.

[5] J. Madroñero, B. Piraux, Phys. Rev. A 80(2009), 033409.