Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
arXiv:1807.07634 · doi:10.1088/1367-2630/aaea90
Abstract
Within the emerging field of quantum thermodynamics the issues of heat transfer and heat rectification are basic ingredients for the understanding and design of heat engines or refrigerators at nanoscales. Here, a consistent and versatile approach for mesoscopic devices operating with continuous degrees of freedom is developed valid from low up to strong system-reservoir couplings and over the whole temperature range. It allows to cover weak to moderate nonlinearities and is applicable to various scenarios including the presence of disorder and external time-dependent fields. As a particular application coherent one-dimensional chains of anharmonic oscillators terminated by thermal reservoirs are analyzed with particular focus on rectification. The efficiency of the method opens a door to treat also rather long chains and extensions to higher dimensions and geometries.
arXiv comment32 pages, 15 figures; title, abstract and introduction modified; a further figure included (figure 12 right); further references added; minor typos corrected
References in corpus (50)
- Thermal conduction in classical low-dimensional lattices
- Phononics: Manipulating heat flow with electronic analogs and beyond
- Thermal diode: Rectification of heat flux
- Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
- A spin-boson thermal rectifier
- The Fermi-Pasta-Ulam problem: 50 years of progress
- An oxide thermal rectifier
- Asymmetric Properties of Heat Conduction in a One-Dimensional Frenkel-Kontorova Model
- On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
- Exact c-number Representation of Non-Markovian Quantum Dissipation
- Quantum thermal transistor
- On the anomalous thermal conductivity of one-dimensional lattices
- Tunable photonic heat transport in a quantum heat valve
- Rectification of electronic heat current by a hybrid thermal diode
- Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
- Heat flow in nonlinear molecular junctions
- Anomalous Heat Diffusion
- Anomalous Heat Diffusion
- The design of a thermal rectifier
- Optimal control of open quantum systems: cooperative effects of driving and dissipation
- Thermal rectification in bulk materials with asymmetric shape
- Thermal rectification in nonlinear quantum circuits
- Dynamical simulation of current fluctuations in a dissipative two-state system
- Effect of phonon-phonon interactions on localization
- Trapped ions in optical lattices for probing oscillator chain models
- A Stochastic Liouvillian Algorithm to Simulate Dissipative Quantum Dynamics With Arbitrary Precision
- Probing the temperature of cold many-body quantum systems
- Fourier law in the alternate mass hard-core potential chain
- Heat diode and engine based on quantum Hall edge states
- Graded anharmonic crystals as genuine thermal diodes: Analytical description of rectification and negative differential thermal resistance
- Magnetically Induced Thermal Rectification
- Nonlinear quantum heat transfer in hybrid structures: Sufficient conditions for thermal rectification
- Reversal of Thermal Rectification in Quantum Systems
- Quantum heat transfer in harmonic chains with self consistent reservoirs: Exact numerical simulations
- Interference induced thermoelectric switching and heat rectification in quantum Hall junctions
- Thermodynamic deficiencies of some simple Lindblad operators
- Direct Wigner tomography of a superconducting anharmonic oscillator
- Increasing thermal rectification: Effects of long range interactions
- Thermal transport in the Fermi-Pasta-Ulam model with long-range interactions
- Thermal rectification in quantum graded mass systems
- Exact propagation of open quantum systems in a system-reservoir context
- Quantum and Classical Chirps in an Anharmonic Oscillator
- Fourier's Law from Closure Equations
- Almost local generation of EPR entanglement in non-equilibrium
- Thermal rectification in anharmonic chains under an energy-conserving noise
- Time-Correlated Blip Dynamics of Open Quantum Systems
- Currents and fluctuations of quantum heat transport in harmonic chains
- Simple analytical model of a thermal diode
- Size effects on thermal rectification in mass-graded anharmonic lattices
- Heat flow in anharmonic crystals with internal and external stochastic baths: A convergent polymer expansion for a model with discrete time and long range interparticle interaction
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- Entangled system-and-environment dynamics: Phase-space dissipaton theory
- Validity of Born-Markov master equations for single and two-qubit systems
- Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
- Photonic heat transport across a Josephson junction
- Transport and energetic properties of a ring of interacting spins coupled to heat baths
- Quantum heat diode versus light emission in circuit quantum electrodynamical system
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
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- Nonequilibrium Steady State and Heat Transport in Nonlinear Open Quantum Systems: Stochastic Influence Action and Functional Perturbative Analysis
- Heat rectification by two qubits coupled with Dzyaloshinskii-Moriya interaction
- Thermal transport through a single trapped ion under strong laser illumination
- Quantum master equation approach to heat transport in dielectrics and semiconductors
- Quantum thermal rectification via state-dependent two-photon dissipation
- Fully differentiable optimization protocols for non-equilibrium steady states