scholarly journals Generalized uncertainty relations and long-time limits for quantum Brownian motion models

1995 ◽  
Vol 51 (12) ◽  
pp. 6870-6885 ◽  
Author(s):  
Charalambos Anastopoulos ◽  
Jonathan J. Halliwell
Keyword(s):  
Brownian Motion ◽  
Uncertainty Relations ◽  
Quantum Brownian Motion ◽  
Time Limits ◽  
Motion Models ◽  
Long Time

scholarly journals Objectivisation In Simplified Quantum Brownian Motion Models

Photonics ◽  
2015 ◽  
Vol 2 (1) ◽  
pp. 228-240 ◽  
Author(s):  
Jan Tuziemski ◽  
Jarek Korbicz
Keyword(s):  
Brownian Motion ◽  
Quantum Brownian Motion ◽  
Motion Models

scholarly journals Quantum–Classical Correspondence Principle for Heat Distribution in Quantum Brownian Motion

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1602
Author(s):  
Jin-Fu Chen ◽  
Tian Qiu ◽  
Hai-Tao Quan
Keyword(s):  
Brownian Motion ◽  
Relaxation Time ◽  
Correspondence Principle ◽  
Heat Distribution ◽  
Quantum Brownian Motion ◽  
Classical Correspondence ◽  
Long Time ◽  
Space Formulation ◽  
Analytical Result ◽  
Definition Of

Quantum Brownian motion, described by the Caldeira–Leggett model, brings insights to the understanding of phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing the phase-space formulation approach, we study the heat distribution of a relaxation process in the quantum Brownian motion model. The analytical result of the characteristic function of heat is obtained at any relaxation time with an arbitrary friction coefficient. By taking the classical limit, such a result approaches the heat distribution of the classical Brownian motion described by the Langevin equation, indicating the quantum–classical correspondence principle for heat distribution. We also demonstrate that the fluctuating heat at any relaxation time satisfies the exchange fluctuation theorem of heat and its long-time limit reflects the complete thermalization of the system. Our research study justifies the definition of the quantum fluctuating heat via two-point measurements.

Long-time tails in quantum Brownian motion

1985 ◽  
Vol 32 (4) ◽  
pp. 2510-2512 ◽  
Author(s):  
Roland Jung ◽  
Gert-Ludwig Ingold ◽  
Hermann Grabert
Keyword(s):  
Brownian Motion ◽  
Long Time Tails ◽  
Quantum Brownian Motion ◽  
Long Time
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