Scattering Approach to Counting Statistics in Quantum Pumps
arXiv:cond-mat/0301075 · doi:10.1103/PhysRevB.68.155304
Abstract
We consider the Fermi gas in a non-equilibrium state obtained by applying an arbitrary time-dependent potential to the Fermi gas in the ground state. We present a general method that gives the quantum statistics of any single-particle quantity, such as the charge, total energy or momentum, in this non-equilibrium state. We show that the quantum statistics may be found from the solution of a matrix Riemann-Hilbert problem. We use the method to study how the finite measuring time modifies the distribution of the charge transferred through a biased quantum point contact.
8 pages (minor corrections)
References in corpus (10)
- Electron Counting Statistics and Coherent States of Electric Current
- Scattering approach to parametric pumping
- An Adiabatic Quantum Electron Pump
- Coherent States of Alternating Current,
- Dissipation and noise in adiabatic quantum pumps
- Counting statistics for arbitrary cycles in quantum pumps
- Counting statistics of photons produced by electronic shot noise
- Temperature dependent third cumulant of tunneling noise
- Quantum and Classical Binomial Distributions for the Charge Transmitted through Coherent Conductor
- Fermi gas response to non-adiabatic switching of external potential
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- Bosonization of one dimensional fermions out of equilibrium
- Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps
- Wave-packet Formalism of Full Counting Statistics
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- Exactly solvable counting statistics in weakly coupled open interacting spin systems
- Allowed charge transfers between coherent conductors driven by a time-dependent scatterer
- Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
- Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
- Fredholm determinants and the statistics of charge transport
- Statistics of Heat Transfer in Mesoscopic Circuits
- Factorization of quantum charge transport for non-interacting fermions
- Full counting statistics of Luttinger liquid conductor
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- Fermi edge singularity in a non-equilibrium system
- The X-ray edge singularity in Quantum Dots
- Nonequilibrium phase transition in transport through a driven quantum point contact
- Theory of non-equilibrium electronic Mach-Zehnder interferometer
- Time ordering and counting statistics
- Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures
- Optimal electron entangler and single electron source at low temperatures
- Quantum theory of an electron waiting time clock
- Full counting statistics for noninteracting fermions: Exact finite temperature results and generalized long time approximation
- Microscopic theory of resonant soft x-ray scattering in systems with charge order
- Full counting statistics in the not-so-long-time limit
- Half-integer charge injection by a Josephson junction without excess noise
- Full Counting Statistics of Quantum Point Contact with Time-dependent Transparency
- Effects of Exchange Symmetry on Full Counting Statistics
- Transport through nanostructures: Finite time vs. finite size
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- Statistics of charge transport and unconventional time ordering
- Full Counting Statistics in Quantum Contacts
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- Full counting statistics for noninteracting fermions: Joint probability distributions
- Full counting statistics of energy transfers in inhomogeneous nonequilibrium states of (1+1)D CFT
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- Linear response of a one-dimensional conductor coupled to a dynamical impurity with a Fermi edge singularity