Photon cooling: linear vs nonlinear interactions
arXiv:2203.14116 · doi:10.1103/PhysRevA.106.032214
Abstract
Linear optics imposes a relation that is more general than the second law of thermodynamics: For modes undergoing a linear evolution, the full mean occupation number (i.e. photon number for optical modes) does not decrease, provided that the evolution starts from a (generalized) diagonal state. This relation connects to noise-increasing (or heating), and is akin to the second law and holds for a wide set of initial states. Also, the Bose-entropy of modes increases, though this relation imposes additional limitations on the initial states and on linear evolution. We show that heating can be reversed via nonlinear interactions between the modes. They can cool -- i.e. decrease the full mean occupation number and the related noise -- an equilibrium system of modes provided that their frequencies are different. Such an effect cannot exist in energy cooling, where only a part of an equilibrium system is cooled. We describe the cooling set-up via both efficiency and coefficient of performance and relate the cooling effect to the Manley-Rowe theorem in nonlinear optics.
arXiv comment16 pages, 9 figures; second extended version to appear in Physical Review A
References in corpus (20)
- Cavity Optomechanics
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Thermodynamics of quantum systems under dynamical control
- Work extremum principle: Structure and function of quantum heat engines
- Optimal refrigerator
- Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamic resource
- Thermodynamic limits of dynamic cooling
- Unifying paradigms of quantum refrigeration: A universal and attainable bound on cooling
- Charging assisted by thermalization
- Tests of Quantum Gravity induced non-locality via opto-mechanical quantum oscillators
- A mathematical theorem as the basis for the second law: Thomson's formulation applied to equilibrium
- Quantum limits to gravity estimation with optomechanics
- Third Law of Thermodynamics as a Single Inequality
- The Asymptotic Cooling of Heat-Bath Algorithmic Cooling
- An Introduction to the Quantum Theory of Nonlinear Optics
- Thermodynamics of quantum feedback cooling
- Optimal Performance of a Three-level Quantum Refrigerator
- Limits of optimal control yields achievable with quantum controllers
- No-go Theorem of Purification
- Entropy of a Turbulent Bose-Einstein Condensate