Bosonization out of equilibrium
arXiv:0906.4076 · doi:10.1209/0295-5075/90/37003
Abstract
We develop a bosonization technique for one-dimensional fermions out of equilibrium. The approach is used to study a quantum wire attached to two electrodes with arbitrary energy distributions. The non-equilibrium electron Green function is expressed in terms of functional determinants of a single-particle``counting'' operator with a time-dependent scattering phase. The result reveals an intrinsic relation of dephasing and energy redistribution in Luttinger-liquids to ``fractionalization'' of electron-hole excitations in the tunneling process and at boundaries with leads.
5 pages, 4 figures
References in corpus (5)
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- Coherence oscillations in dephasing by non-Gaussian shot noise
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Cited by in corpus (29)
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- Full counting statistics of Luttinger liquid conductor
- Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
- Quantum fluctuations of one-dimensional free fermions and Fisher-Hartwig formula for Toeplitz determinants
- Lower bounds for ballistic current and noise in non-equilibrium quantum steady states
- Interaction Quench in Nonequilibrium Luttinger Liquids
- Cold bosons in the Landauer setup
- Counting free fermions on a line: a Fisher-Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit
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- Theory of non-equilibrium electronic Mach-Zehnder interferometer
- Kinetic Theory for Interacting Luttinger Liquids
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- Many-particle correlations in non-equilibrium Luttinger liquid
- Nonequilibrium transport through quantum-wire junctions and boundary defects for free massless bosonic fields
- Correlations in non-equilibrium Luttinger liquid and singular Fredholm determinants
- Platforms for the realization and characterization of Tomonaga-Luttinger liquids
- Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
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- Tunable Kondo-Luttinger systems far from equilibrium
- Current cross-correlations in a quantum Hall collider at filling factor two
- Luttinger liquids with multiple Fermi edges: Generalized Fisher-Hartwig conjecture and numerical analysis of Toeplitz determinants
- Measuring the Luttinger liquid parameter with shot noise
- Fermionic full counting statistics with smooth boundaries: from discrete particles to bosonization
- Self-equilibration theorem in quantum-point contacts of interacting electrons: time-dependent quantum fluctuations of tunnel transport beyond the Levitov-Lesovik scattering approach
- Pumping current of a Luttinger liquid with finite length