Planar anharmonic two-electron quantum dots |
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| Sebastian Schröter | |
| Technische Universität München | |
| 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. We investigate the transition from regularity to irregularity introduced by the anharmonic term in the potential. Besides a detailed analysis of the properties of the energy spectrum of the system we focus on its complex dynamics. In particular we address the quantum fidelity of wave packets to investigate the loss of coherence. In order to guarantee high accuracy for long time calculations, sophisticated methods [4,5] to solve the time dependent Schrödinger equation are used and further developed. [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. |