Thermalization of the Quantum Planar Rotor with external potential
- URL: http://arxiv.org/abs/2207.04810v2
- Date: Wed, 27 Jul 2022 09:10:37 GMT
- Title: Thermalization of the Quantum Planar Rotor with external potential
- Authors: Birthe Schrinski, Yoon Jun Chan, Bj\"orn Schrinski
- Abstract summary: We study decoherence, diffusion, friction, and how they thermalize a planar rotor in the presence of an external potential.
We analytically and numerically verify the existence of a steady state that, in the high-temperature regime, closely approximates a Gibbs state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study decoherence, diffusion, friction, and how they thermalize a planar
rotor in the presence of an external potential. Representing the quantum master
equation in terms of auxiliary Wigner functions in periodic phase space not
only illustrates the thermalization process in a concise way, but also allows
for an efficient numerical evaluation of the open quantum dynamics and its
approximate analytical description. In particular, we analytically and
numerically verify the existence of a steady state that, in the
high-temperature regime, closely approximates a Gibbs state. We also derive the
proper classical limit of the planar rotor time evolution and present exemplary
numerical studies to verify our results.
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