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Q: Fachverband Quantenoptik und Photonik

Q 69: Open Quantum Systems II (joint session Q/QI)

Q 69.3: Vortrag

Freitag, 14. März 2025, 11:30–11:45, HS I

The quantum harmonic oscillator in a dissipative bath of anyon pairs — •Nils-Henrik Meyer¹, Michael Thorwart¹, and Axel Pelster² — ¹I. Institute of Theoretical Physics, University of Hamburg, Germany — ²Physics Department and Research Center OPTIMAS, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, Germany

We determine the quantum statistical dynamics of a quantum mechanical harmonic oscillator coupled to a heat bath constructed of 1D anyons. For that, we use the quantum mechanical path integral of anyon pairs in one dimension introduced by Grundberg and Hansson [1]. These anyons are characterized by one statistical parameter entering in the dispersion relation of the heat bath. By this, we formally obtain a heat bath of free bosons which, however, couple nonlinearly to the system. By utilizing the smearing formula of Ref. [2], we find a direct nontrivial influence of the anyons on the spectral density and therefore the dynamics of the system up to second order in a perturbative approach. We show that the relaxation properties of the system are directly determined by the anyonic statistical parameter of the bath.

[1] J. Grundberg and T. H. Hansson. Mod. Phys. Lett. A 10, 985 (1995).

[2] H. Kleinert, W. Kürzinger, and A. Pelster. J. Phys. A 31, 8307 (1998).

Keywords: Anyon; Dissipative Quantumsystem