Quantum Open Systems with Time-Dependent Control

2009 ◽  
pp. 79-95 ◽  
Author(s):  
Robert Alicki
Keyword(s):  
Open Systems ◽  
Time Dependent ◽  
Quantum Open Systems

scholarly journals Entropy and uncertainty of squeezed quantum open systems

1997 ◽  
Vol 55 (10) ◽  
pp. 5917-5935 ◽  
Author(s):  
Don Koks ◽  
Andrew Matacz ◽  
B. L. Hu
Keyword(s):  
Open Systems ◽  
Quantum Open Systems

scholarly journals Linear Response Theory for Thermally Driven Quantum Open Systems

2006 ◽  
Vol 123 (3) ◽  
pp. 547-569 ◽  
Author(s):  
V. Jakšić ◽  
Y. Ogata ◽  
C.-A. Pillet
Keyword(s):  
Linear Response ◽  
Open Systems ◽  
Linear Response Theory ◽  
Response Theory ◽  
Quantum Open Systems ◽  
Thermally Driven

Quantum open systems

2009 ◽  
pp. 60-90
Author(s):  
Esteban A. Calzetta ◽  
Bei-Lok B. Hu
Keyword(s):  
Open Systems ◽  
Quantum Open Systems

scholarly journals Continuous monitoring of energy in quantum open systems

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
G. P. Martins ◽  
N. K. Bernardes ◽  
M. F. Santos
Keyword(s):  
Continuous Monitoring ◽  
Open Systems ◽  
Quantum Open Systems

scholarly journals A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer

Entropy ◽  
2018 ◽  
Vol 20 (3) ◽  
pp. 163 ◽  
Author(s):  
François Gay-Balmaz ◽  
Hiroaki Yoshimura
Keyword(s):  
Heat Transfer ◽  
Entropy Production ◽  
Variational Formulation ◽  
Evolution Equations ◽  
Nonequilibrium Thermodynamics ◽  
Open Systems ◽  
Internal Heat ◽  
Nonholonomic Constraints ◽  
Time Dependent ◽  
Nonlinear Constraint

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for systems with time-dependent nonlinear nonholonomic constraints and time-dependent Lagrangian. For discrete open systems, the time-dependent nonlinear constraint is associated with the rate of internal entropy production of the system. We show that this constraint on the solution curve systematically yields a constraint on the variations to be used in the action functional. The proposed variational formulation is intrinsic and provides the same structure for a wide class of discrete open systems. We illustrate our theory by presenting examples of open systems experiencing mechanical interactions, as well as internal diffusion, internal heat transfer, and their cross-effects. Our approach yields a systematic way to derive the complete evolution equations for the open systems, including the expression of the internal entropy production of the system, independently on its complexity. It might be especially useful for the study of the nonequilibrium thermodynamics of biophysical systems.

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