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Article

Dissipation-Dependent Thermal Escape from a Potential Well

1
Department of Mechanical and Aerospace Engineering, University of California, Davis, CA 95616, USA
2
Dipartimento di Fisica and MINAS Lab, Università di Roma “Tor Vergata”, 00133 Roma, Italy
3
Department of Mathematics, University of California, Davis, CA 95616, USA
*
Author to whom correspondence should be addressed.
Academic Editors: Antonino Messina and Agostino Migliore
Entropy 2021, 23(10), 1315; https://doi.org/10.3390/e23101315
Received: 4 September 2021 / Revised: 30 September 2021 / Accepted: 30 September 2021 / Published: 9 October 2021
(This article belongs to the Special Issue Quantum Information and Quantum Optics)
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. View Full-Text
Keywords: macroscopic quantum coherence; josephson effect; superconductive tunnelling macroscopic quantum coherence; josephson effect; superconductive tunnelling
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MDPI and ACS Style

Cheng, C.; Cirillo, M.; Grønbech-Jensen, N. Dissipation-Dependent Thermal Escape from a Potential Well. Entropy 2021, 23, 1315. https://doi.org/10.3390/e23101315

AMA Style

Cheng C, Cirillo M, Grønbech-Jensen N. Dissipation-Dependent Thermal Escape from a Potential Well. Entropy. 2021; 23(10):1315. https://doi.org/10.3390/e23101315

Chicago/Turabian Style

Cheng, Chungho, Matteo Cirillo, and Niels Grønbech-Jensen. 2021. "Dissipation-Dependent Thermal Escape from a Potential Well" Entropy 23, no. 10: 1315. https://doi.org/10.3390/e23101315

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