Local and Effective Temperatures of Quantum Driven Systems
arXiv:0907.1515 · doi:10.1103/PhysRevB.81.041301
Abstract
We introduce thermometers to define the local temperature of an electronic system driven out-of-equilibrium by local AC fields. We also define the effective temperature in terms of a local fluctuation-dissipation-relation. We show that within the weak driving regime these two temperatures coincide. We also discuss the behavior of the local temperature along the sample. We show that it exhibits spatial fluctuations following an oscillatory pattern. For weak driving, regions of the sample become heated, while others become cooled as a consequence of the driving.
References in corpus (31)
- Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
- Scattering approach to parametric pumping
- Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
- An Adiabatic Quantum Electron Pump
- An On-Demand Coherent Single Electron Source
- Violation of Kirchhoff's Laws for a Coherent RC Circuit
- Experimental Realization of a Quantum Spin Pump
- Dissipation and noise in adiabatic quantum pumps
- Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Theory of non-equilibrium thermoelectric effects in nanoscale junctions
- Mesoscopic Charge Relaxation
- A Green-function approach to transport phenomena in quantum pumps
- Spin pumping by a field-driven domain wall
- Real-time non-equilibrium dynamics of quantum glassy systems
- Heat production and energy balance in nanoengines driven by time-dependent fields
- Nanoscopic Tunneling Contacts on Mesoscopic Multiprobe Conductors
- Quantum aging in mean-field models
- Nonadiabatic electron heat pump
- Heat production and current noise for single- and double-cavity quantum capacitors
- Thermal properties of slow dynamics
- Electron counting with a two-particle emitter
- Effective temperature in driven vortex lattices with random pinning
- Heat current in parametric quantum pump
- Non-Equilibrium Quantum Dissipation
- Effective temperature of a dissipative driven mesoscopic system
- Generalized fluctuation relation and effective temperatures in a driven fluid
- Driven quantum coarsening
- Voltage profile and four terminal resistance of an interacting quantum wire
- DC four point resistance of a double barrier quantum pump
- Information compressibility, entropy production and approach to steady state in open systems
Cited by in corpus (29)
- The effective temperature
- Thermoelectric transport of mesoscopic conductors coupled to voltage and thermal probes
- Periodic energy transport and entropy production in quantum electronics
- Dynamic correlations, fluctuation-dissipation relations, and effective temperatures after a quantum quench of the transverse field Ising chain
- Luttinger-field approach to thermoelectric transport in nanoscale conductors
- Local temperatures of strongly-correlated quantum dots out of equilibrium
- Probing Maxwell's Demon with a Nanoscale Thermometer
- Local Temperatures Out of Equilibrium
- Temperature and voltage measurement in quantum systems far from equilibrium
- Local Temperatures and Heat Flow in Quantum Driven Systems
- Temperature-driven transient charge and heat currents in nanoscale conductors
- Cold spots in quantum systems far from equilibrium: local entropies and temperatures near absolute zero
- Out of equilibrium dynamics of classical and quantum complex systems
- ac-dc voltage profile and four point impedance of a quantum driven system
- Defining the effective temperature of a quantum driven system from current-current correlation functions
- Functional theories of thermoelectric phenomena
- Chiral heat transport in driven quantum Hall and quantum spin Hall edge states
- Local Quantum Thermometry using Unruh-De Witt detectors
- Peltier effect in strongly driven quantum wires
- Kramers barrier crossing as a cooling machine
- Effect of quantum resonances on local temperature in nonequilibrium open systems
- Nonequilibrium Green's functions in the study of heat transport of driven nanomechanical systems
- Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
- Relation Between Local Temperature Gradients and the Direction of Heat Flow in Quantum Driven Systems
- Quantum transport phenomena induced by time-dependent fields
- Effects from Additional Random Configuration to Linear Response and Modified Fluctuation-Dissipation Relation
- Local heat current flow in ballistic phonon transport of graphene nanoribbons
- Coarsening of Disordered Quantum Rotors under a Bias Voltage
- Photo-assisted heat current and Peltier coefficient in a metal/dot/metal junction