Quantum Rayleigh problem and thermocoherent Onsager relations
arXiv:2006.03186 · doi:10.1103/PhysRevResearch.3.023235
Abstract
The role of quantum coherence and correlations in heat flow and equilibration is investigated by exploring the Rayleigh's dynamical problem to equilibration in the quantum regime and following Onsager's approach to thermoelectricity. Specifically, we consider a qubit bombarded by two-qubit projectiles from a side. For arbitrary collision times and initial states, we develop the master equation for sequential and collective collisions. By deriving the Fokker-Planck equation out of the master equation, we identify the quantum version of the Rayleigh's heat conduction equation. We find that quantum discord and entanglement shared between the projectiles can contribute to genuine heat flow only when they are associated with so-called heat-exchange coherences. Analogous to Onsager's use of Rayleigh's principle of least dissipation of energy, we use the entropy production rate to identify the coherence current. Both coherence and heat flows can be written in the form of quantum Onsager relations, from which we predict coherent Peltier and coherent Seebeck effects. The effects can be optimized by the collision times and collectivity. Finally, we discuss some of the possible experimental realizations and technological applications of the thermocoherent phenomena in different platforms.
arXiv comment12 pages, 8 figures. Some sections were moved to the Appendix
References in corpus (43)
- Mixed State Entanglement and Quantum Error Correction
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Phononics: Manipulating heat flow with electronic analogs and beyond
- Quantum Resource Theories
- Quantum Thermodynamics
- Converting Coherence to Quantum Correlations
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Energetics of quantum correlations
- The role of quantum coherence in non-equilibrium entropy production
- Reversing the direction of heat flow using quantum correlations
- Quantum-Classical Transition of Photon-Carnot Engine Induced by Quantum Decoherence
- Entanglement and the Thermodynamic Arrow of Time
- Autonomous quantum thermal machine for generating steady-state entanglement
- Thermodynamic cost of creating correlations
- Collision models in quantum optics
- Thermodynamics of Quantum Information Flows
- Multiatom Quantum Coherences in Micromasers as Fuel for Thermal and Nonthermal Machines
- Divisibility of quantum dynamical maps and collision models
- Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment
- Environmental correlations and Markovian to non-Markovian transitions in collisional models
- Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
- Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
- Heat flux dynamics in dissipative cascaded systems
- Role of quantum coherence in the thermodynamics of energy transfer
- Collectively enhanced thermalization via multiqubit collisions
- Single-particle machine for quantum thermalization
- Quantum machines powered by correlated baths
- Autonomous multipartite entanglement engines
- Non-Abelian Quantum Transport and Thermosqueezing Effects
- Autonomous thermal machine for amplification and control of energetic coherence
- Apparent temperature: demystifying the relation between quantum coherence, correlations, and heat flows
- Roles of quantum coherences in thermal machines
- Heralded generation of maximal entanglement in any dimension via incoherent coupling to thermal baths
- Thermal production, protection and heat exchange of quantum coherences
- Negative contributions to entropy production induced by quantum coherences
- Are quantum thermodynamic machines better than their classical counterparts?
- Heat flow reversals without reversing the arrow of time: the role of internal quantum coherences and correlations
- Quantum Thermodynamics and Quantum Coherence Engines
- Quantum master equations for entangled qubit environments
- Necessity for quantum coherence of nondegeneracy in energy flow
- Heat flow reversal in a trapped-ion simulator
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- Quantum collision models: open system dynamics from repeated interactions
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- Quantum Thermodynamics and Quantum Coherence Engines
- A brief journey through collision models for multipartite open quantum dynamics
- Fundamental limits on anomalous energy flows in correlated quantum systems
- Heat as a witness of quantum properties
- Classical and Quantum Orbital Correlations in the Molecular Electronic States
- Boosting Biomolecular Switch Efficiency With Quantum Coherence
- A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
- Quantum Onsager relations
- Coherence, superposition, and Löwdin symmetric orthogonalization
- Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario