Working Paper Article Version 1 This version is not peer-reviewed

Dissipation Dependent Thermal Escape From a Macroscopic Quantum Potential Well

Version 1 : Received: 4 September 2021 / Approved: 6 September 2021 / Online: 6 September 2021 (13:41:45 CEST)

How to cite: Cheng, C.; Cirillo, M.; Gronbech-Jensen, N. Dissipation Dependent Thermal Escape From a Macroscopic Quantum Potential Well. Preprints 2021, 2021090100 Cheng, C.; Cirillo, M.; Gronbech-Jensen, N. Dissipation Dependent Thermal Escape From a Macroscopic Quantum Potential Well. Preprints 2021, 2021090100

Abstract

Langevin simulations are conducted to investigate the Josephson escape statistics over a large set of parameter values for damping and temperature. The results are compared to both Kramers and Büttiker-Harris-Landauer (BHL) models, and good agreement is found with the Kramers model for high to moderate damping, while the BHL model provides further good agreement down to lower damping values. However, for extremely low damping, even the BHL model fails to reproduce the progression of the escape statistics. In order to explain this discrepancy we develop a new model, which shows that the bias sweep effectively cools the system below the thermodynamic value as the potential well broadens due to the increasing bias. A simple expression for the temperature is derived, and the model is validated against direct Langevin simulations for extremely low damping values.

Keywords

Macroscopic quantum phenomena; Tunnelling; Josephson effect

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