Luttinger Liquid in Non-equilibrium Steady State
arXiv:1210.5409 · doi:10.1088/1751-8113/46/9/095006
Abstract
We propose and investigate an exactly solvable model of non-equilibrium Luttinger liquid on a star graph, modeling a multi-terminal quantum wire junction. The boundary condition at the junction is fixed by an orthogonal matrix S, which describes the splitting of the electric current among the leads. The system is driven away from equilibrium by connecting the leads to heat baths at different temperatures and chemical potentials. The associated non-equilibrium steady state depends on S and is explicitly constructed. In this context we develop a non-equilibrium bosonization procedure and compute some basic correlation functions. Luttinger liquids with general anyon statistics are considered. The relative momentum distribution away from equilibrium turns out to be the convolution of equilibrium anyon distributions at different temperatures. Both the charge and heat transport are studied. The exact current-current correlation function is derived and the zero-frequency noise power is determined.
LaTex, 1+28 pages, 7 figures
References in corpus (30)
- Shot Noise in Mesoscopic Conductors
- Luttinger Liquid Behavior in Carbon Nanotubes
- One-Dimensional Fermi liquids
- Transport in an inhomogeneous interacting one--dimensional system
- Bosonizing one-dimensional cold atomic gases
- Spin-charge separation and localization in one-dimension
- Fluctuations in Stationary non Equilibrium States
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Energy flow in non-equilibrium conformal field theory
- Junctions of three quantum wires
- Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
- Junction of several weakly interacting quantum wires: a renormalization group study
- Bosonization of one dimensional fermions out of equilibrium
- Correlation functions of one-dimensional anyonic fluids
- A junction of three quantum wires: restoring time-reversal symmetry by interaction
- Bosonization and Scale Invariance on Quantum Wires
- Junctions of anyonic Luttinger wires
- Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
- Scattering in the Presence of a Reflecting and Transmitting Impurity
- Reflection-Transmission Algebras
- Junctions of three quantum wires for spin 1/2 electrons
- Boundary Exchange Algebras and Scattering on the Half Line
- Bosonization at Finite Temperature and Anyon Condensation
- Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
- Non-equilibrium Steady States of Quantum Systems on Star Graphs
- Quantum Field Theory, Bosonization and Duality on the Half Line
- Quantum wire junctions breaking time reversal invariance
- Off-diagonal correlations in one-dimensional anyonic models: A replica approach
- Two-Dimensional Thermofield Bosonization
- Laughlin type wave function for two-dimensional anyon fields in a KMS-state
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- Analytic solution of the Domain Wall non-equilibrium stationary state
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- Non-equilibrium thermal transport in the quantum Ising chain
- Non-equilibrium steady-states in conformal field theory
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- A hydrodynamic approach to non-equilibrium conformal field theories
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- Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
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- Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
- Violation of the Wiedemann-Franz law in the Topological Kondo model
- Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
- Correlation functions of one-dimensional strongly interacting two-component gases
- Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs
- Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Nonequilibrium transport through quantum-wire junctions and boundary defects for free massless bosonic fields
- Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
- Energy transmutation in nonequilibrium quantum systems
- Emergent Anyon Distribution in the Unruh Effect
- Dynamics of parafermionic states in transport measurements
- Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
- Microscopic Features of Bosonic Quantum Transport and Entropy Production
- Anyon Quantum Transport and Noise away from Equilibrium
- The massless thermal field and the thermal fermion bosonization in two dimensions
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