Entropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics
arXiv:quant-ph/0601096 · doi:10.1016/j.physe.2005.05.004
Abstract
The free energy of a quantum oscillator in an arbitrary heat bath at a temperature T is given by a "remarkable formula" which involves only a single integral. This leads to a corresponding simple result for the entropy. The low temperature limit is examined in detail and we obtain explicit results both for the case of an Ohmic heat bath and a radiation heat bath. More general heat bath models are also examined. This enables us to determine the entropy at zero temperature in order to check the third law of thermodynamics in the quantum regime
International Conference on "Frontiers of Quantum and Mesoscopic Thermodynamics"
Cited by in corpus (19)
- Quantum Refrigerator and the III-law of Thermodynamics
- Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
- Information loss in effective field theory: entanglement and thermal entropies
- Effective thermodynamics of strongly coupled qubits
- Quantum thermodynamics of a charged magneto-oscillator coupled to a heat bath
- The Clausius inequality beyond the weak coupling limit: The quantum Brownian oscillator revisited
- Casimir-Foucault interaction: Free energy and entropy at low temperature
- Radiation Reaction: General approach and applications, especially to electrodynamics
- The Third Law of Quantum Thermodynamics in the Presence of Anomalous Couplings
- Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models
- The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature
- Independent-oscillator model and the quantum Langevin equation for an oscillator: A review
- The third law of thermodynamics in open quantum systems
- Fractional Entropy Decaying and the Third Law of Thermodynamics
- Control of quantum thermodynamic behaviour of a charged magneto oscillator with momentum dissipation
- Entropy and Its Quantum Thermodynamical Implication for Anomalous Spectral Systems
- Free energy of a charged oscillator in a magnetic field and coupled to a heat bath through the momentum variables
- Quantum and statistical mechanics in open systems: theory and examples
- Stochastic Methods in Atomic Systems and QED