Berlin 2015 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 55: Poster - Quantum Systems
DY 55.3: Poster
Thursday, March 19, 2015, 16:00–18:00, Poster A
Structure of eigenstates of four-dimensional quantum maps — •Florian Ide1, Shashi C. L. Srivastava2, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
We investigate the structure of eigenstates of quantized 4D maps whose classical dynamics has a mixed phase space in which regions of regular and chaotic motion coexist. One of the challenges is the strong increase in computing time of the matrix diagonalization in the semiclassical limit, which can be minimized by a symmetry reduction. Furthermore, a direct visualization of eigenstates in 4D phase-space is not possible. By applying the method of 3D phase-space slices [1] we visualize Husimi functions of eigenstates and compare them with the classical phase-space structures. This allows for identifying regular states, chaotic states and also scarred states concentrating around hyperbolic periodic orbits.
[1] M. Richter, S. Lange, A. Bäcker, and R. Ketzmerick, Visualization and comparison of classical structures and quantum states of four-dimensional maps, Phys. Rev. E 89, 022902 (2014)