Phase transitions in full counting statistics for periodic pumping

Abstract

We discuss the problem of full counting statistics for periodic pumping. The probability generating function is usually defined on a circle of the "physical" values of the counting parameter, with its periodicity corresponding to charge quantization. The extensive part of the generating function can either be an analytic function on this circle or have singularities. These two cases may be interpreted as different thermodynamic phases in time domain. We discuss several examples of phase transitions between these phases for classical and quantum systems. Finally, we prove a criterion for the "analytic" phase in the problem of a quantum pump for noninteracting fermions.

5 pages, 4 figures

References in corpus (13)

• Shot Noise in Mesoscopic Conductors
• Electron Counting Statistics and Coherent States of Electric Current
• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Quantum Noise as an Entanglement Meter
• Coherent States of Alternating Current,
• Counting statistics for arbitrary cycles in quantum pumps
• Wave-packet Formalism of Full Counting Statistics
• Elementary events of electron transfer in a voltage-driven quantum point contact
• Elementary Charge Transfer Processes in Mesoscopic Conductors
• Signatures of critical full counting statistics in a quantum-dot chain
• Allowed charge transfers between coherent conductors driven by a time-dependent scatterer
• Factorization of quantum charge transport for non-interacting fermions
• Quantum-to-Classical Crossover in Full Counting Statistics

Cited by in corpus (22)

• Scattering matrix approach to the description of quantum electron transport
• The Theory of Spin Noise Spectroscopy: A Review
• Trajectory phase transitions, Lee-Yang zeros, and high-order cumulants in full counting statistics
• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Free-fermion Entanglement Spectrum through Wannier Interpolation
• Time-integrated observables as order parameters for dynamical phase transitions in closed quantum systems
• Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
• Braid Group and Topological Phase Transitions in Nonequilibrium Stochastic Dynamics
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• Phase Transitions in Trajectories of a Superconducting Single-Electron Transistor Coupled to a Resonator
• Intermittency and dynamical Lee-Yang zeros of open quantum systems
• Time-dependent factorial cumulants in interacting nano-scale systems
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents
• Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain
• Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence
• Full counting statistics for electron transport in periodically driven quantum dots
• Full counting statistics in the not-so-long-time limit
• Topological transitions in quantum jump dynamics: Hidden exceptional points
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems II: Full Counting Statistics
• Transport through nanostructures: Finite time vs. finite size
• Dynamical Lee-Yang zeros for continuous-time and discrete-time stochastic processes