Quantum 2025 – wissenschaftliches Programm
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THU: Thursday Contributed Sessions
THU 7: Entanglement and Complexity: Contributed Session to Symposium II
THU 7.6: Vortrag
Donnerstag, 11. September 2025, 15:30–15:45, ZHG008
Impact of boundary conditions on a topological quantum kicked rotor — •Victoria Motsch1, Nikolai Bolik1, and Sandro Wimberger2,3 — 1Institut für Theoretische Physik, Universität Heidelberg — 2Department of Mathematical, Physical and Computer Sciences, Parma University — 3INFN, Sezione Milano-Bicocca, Parma group
We investigate the on-resonance Spin-1/2 Double Kicked Rotor under the influence of open (hard wall) and periodic boundary conditions. This system shows topological phases which could be observed in Bose-Einstein condensate experiments [1]. The Mean Chiral Displacement (MCD) as the proposed observable displays a strong dependence on the chosen boundary conditions. The spectrum under open boundary conditions displays edge states that can be shown to localize at the edge of the momentum basis. While the bulk observable MCD is sensitive to the boundary conditions as soon as the evolution touches the boundaries, the edge states could still act as indicators for topological transitions.
[1] N. Bolik et. al., Phys. Rev. A 106, 043318 (2022)
Keywords: Quantum Kicked Rotor; Spinor Condensate; Floquet Theory; Topological Phases