Full counting statistics of information content and particle number
arXiv:1704.02679 · doi:10.1103/PhysRevB.96.085304
Abstract
We consider a bipartite quantum conductor and discuss the joint probability distribution of particle number in a subsystem and the self-information associated with the reduced density matrix of the subsystem. By extending the multi-contour Keldysh Green function technique, we calculate the Rényi entropy of a positive integer order subjected to the particle number constraint, from which we derive the joint probability distribution. For energy-independent transmission, we derive the time dependence of the accessible entanglement entropy, or the conditional entropy. We analyze the joint probability distribution for energy-dependent transmission probability at the steady state under the coherent resonant tunneling and the incoherent sequential tunneling conditions. We also discuss the probability distribution of the efficiency, which measures the information content transfered by a single electron.
20 pages, 8 figures
References in corpus (26)
- The large deviation approach to statistical mechanics
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Quantum Noise as an Entanglement Meter
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- The unlikely Carnot efficiency
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
- Efficiency statistics at all times: Carnot limit at finite power
- Universal theory of efficiency fluctuations
- Phonon-assisted current noise in molecular junctions
- Nonequilibrium Kondo Effect in a Quantum Dot Coupled to Ferromagnetic Leads
- Efficiency fluctuations in quantum thermoelectric devices
- Brownian duet: A novel tale of thermodynamic efficiency
- Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
- Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
- Current noise in molecular junctions: effects of the electron-phonon interaction
- Scattering Approach to Counting Statistics in Quantum Pumps
- Full Counting Statistics of Interacting Electrons
- Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
- Macroscopic Quantum Entanglement of a Kondo Cloud at Finite Temperature
- Fluctuations and Entanglement spectrum in quantum Hall states
- Entanglement entropy in dynamic quantum-coherent conductors
- Exact correspondence between Renyi entropy flows and physical flows
- Rényi entropy flows from quantum heat engines