Thermodynamics of Cyclic Quantum Amplifiers

Abstract

We develop a generic model for a cyclic quantum heat engine that makes it possible to coherently amplify a periodically modulated input signal without the need to couple the working medium to multiple reservoirs at the same time. Instead, we suggest an operation principle that is based on the spontaneous creation of population inversion in incomplete relaxation processes induced by periodic temperature variations. Focusing on Lindblad dynamics and systems with equally spaced energy levels, e.g. qubits or quantum harmonic oscillators, we derive a general working criterion for such cyclic quantum amplifiers. This criterion defines a class of candidates for suitable working media and applies to arbitrary control protocols. For the minimal case of a cyclic three-level amplifier, we show that our criterion is tight and explore the conditions for optimal performance.

arXiv comment8 pages, 4 figures

References in corpus (35)

• Introduction to Quantum Noise, Measurement and Amplification
• Quantum Thermodynamics
• Quantum Thermodynamics
• Quantum Thermodynamic Cycles and quantum heat engines
• A nano heat engine beyond the Carnot limit
• Maximal work extraction from quantum systems
• Quantum heat engines and refrigerators: Continuous devices
• Catalytic Coherence
• How small can thermal machines be? The smallest possible refrigerator
• Quantum Equivalence and Quantum Signatures in Heat Engines
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• Quantum Adiabatic Markovian Master Equations
• Extractable Work from Correlations
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Perspective: Quantum Thermodynamics
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• Squeezed thermal reservoirs as a resource for a nano-mechanical engine beyond the Carnot limit
• Quantum Heat Engine With Multi-Level Quantum Systems
• Quantum thermodynamic cooling cycle
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Thermodynamic Geometry of Microscopic Heat Engines
• Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
• Periodic Thermodynamics of Open Quantum Systems
• Collective operation of quantum heat machines via coherence recycling, and coherence induced reversibility
• Efficiency at Maximum Power of Laser Quantum Heat Engine Enhanced by Noise-Induced Coherence
• Effects of system-bath entanglement on the performance of light-harvesting systems: A quantum heat engine perspective
• Quantum, cyclic and particle-exchange heat engines
• Two-level masers as heat-to-work converters
• Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine
• Electromagnetically Induced Transparency and Quantum Heat Engines
• Global passivity in microscopic thermodynamics
• Photoelectric converters with quantum coherence
• Are quantum thermodynamic machines better than their classical counterparts?
• Limit cycles in periodically driven open quantum systems
• Temperature gradient driven lasing and stimulated cooling

Cited by in corpus (7)

• Thermodynamics of Precision in Markovian Open Quantum Dynamics
• Finite-Time Quantum Landauer Principle and Quantum Coherence
• Optimal operation of a three-level quantum heat engine and universal nature of efficiency
• Unified trade-off optimization of a three-level quantum refrigerator
• Efficiency of optically pumping a quantum battery and a two-stroke heat engine
• Maximally effcient quantum thermal machines fuelled by nonequilibrium steady states
• Quantum refrigerator driven by nonclassical light