Zero-frequency noise in adiabatically driven, interacting quantum systems
arXiv:1212.3545 · doi:10.1103/PhysRevB.87.195407
Abstract
We investigate current-current correlations of adiabatic charge pumping through interacting quantum dots weakly coupled to reservoirs. To calculate the zero-frequency noise for a time-dependently driven system, possibly in the presence of an additional dc bias, we perform within a real-time diagrammatic approach a perturbative expansion in the tunnel coupling to the reservoirs in leading and next-to-leading order. We apply this formalism to study the adiabatic correction to the zero-frequency noise, i.e., the pumping noise, in the case of a single-level quantum dot charge pump. If no stationary bias is applied, the adiabatic correction shows Coulomb-interaction-induced deviations from the fluctuation-dissipation theorem. Furthermore, we show that the adiabatic correction to the Fano factor carries information about the coupling asymmetry and is independent of the choice of the pumping parameters. When including a time-dependent finite bias, we find that there can be pumping noise even if there is zero adiabatically pumped charge. The pumping noise also indicates the respective direction of the bias-induced current and the pumping current.
References in corpus (34)
- An On-Demand Coherent Single Electron Source
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Electron quantum optics : partitioning electrons one by one
- Co-tunneling current and shot noise in quantum dots
- Mesoscopic Charge Relaxation
- Adiabatic pumping through interacting quantum dots
- Experimental determination of the Berry phase in a superconducting charge pump
- Noise enhancement due to quantum coherence in coupled quantum dots
- Shot noise of a mesoscopic two-particle collider
- Current noise in a vibrating quantum dot array
- Current noise spectrum of a single particle emitter: theory and experiment
- Shot noise in tunneling transport through molecules and quantum dots
- Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
- Time scales in the dynamics of an interacting quantum dot
- Quantum Noise Measurement of a Carbon Nanotube Quantum Dot in the Kondo Regime
- Time-resolved noise of adiabatic quantum pumps
- Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
- Dynamic scattering channels of a double barrier structure
- Adiabatic pumping in the mixed-valence and Kondo regimes
- Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots
- Interaction-induced charge and spin pumping through a quantum dot at finite bias
- Adiabatic Charge Pumping through Quantum Dots in the Coulomb Blockade Regime
- Nonlinear adiabatic response of interacting quantum dots
- Control of electron-hole pair generation by biharmonic voltage drive of a quantum point contact
- Charge pumping and noise in a one-dimensional wire with weak electron-electron interactions
- Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices
- Shot noise of a quantum dot with non-Fermi liquid correlations
- Signatures of fractional Hall quasiparticles in moments of current through an antidot
- Tunneling-induced renormalization in interacting quantum dots
- Mesoscopic Stoner instability in metallic nanoparticles revealed by shot noise
- Coherent Cooper-pair pumping by magnetic flux control
Cited by in corpus (18)
- Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots
- Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias
- Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
- Detection of the relaxation rates of an interacting quantum dot by a capacitively coupled sensor dot
- Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors
- Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
- Thermodynamics and steady state of quantum motors and pumps far from equilibrium
- Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
- Functional renormalization group in Floquet space
- Full Counting Statistics of a Non-adiabatic Electron Pump
- Effects of Coulomb interaction on photon-assisted current noises through a quantum dot
- Spectral properties of stochastic resonance in quantum transport
- Finite-frequency noise of interacting single-electron emitters: spectroscopy with higher noise harmonics
- Universal quantum noise in adiabatic pumping
- Transport fluctuation relations in interacting quantum pumps
- Quantum transport phenomena induced by time-dependent fields
- Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach
- Coupling-energy driven pumping through quantum dots: Role of coherences