Conditional statistics of electron transport in interacting nanoscale conductors
arXiv:cond-mat/0701728 · doi:10.1038/nphys564
Abstract
Interactions between nanoscale semiconductor structures form the basis for charge detectors in the solid state. Recent experimental advances have demonstrated the on-chip detection of single electron transport through a quantum dot (QD). The discreteness of charge in units of e leads to intrinsic fluctuations in the electrical current, known as shot noise. To measure these single-electron fluctuations a nearby coherent conductor, called a quantum point contact (QPC), interacts with the QD and acts as a detector. An important property of the QPC charge detector is noninvasiveness: the system physically affects the detector, not visa-versa. Here we predict that even for ideal noninvasive detectors such as the QPC, when a particular detector result is observed, the system suffers an informational backaction, radically altering the statistics of transport through the QD as compared to the unconditional shot noise. We develop a theoretical model to make predictions about the joint current probability distributions and conditional transport statistics. The experimental findings reported here demonstrate the reality of informational backaction in nanoscale systems as well as a variety of new effects, such as conditional noise enhancement, which are in essentially perfect agreement with our model calculations. This type of switching telegraph process occurs abundantly in nature, indicating that these results are applicable to a wide variety of systems.
16 pages, 3 figures, to appear in Nature Physics
References in corpus (2)
Cited by in corpus (34)
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Electron counting in quantum dots
- Factorial cumulants reveal interactions in counting statistics
- Distributions of Conductance and Shot Noise and Associated Phase Transitions
- Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
- Weak values of electron spin in a double quantum dot
- Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
- Distributions of electron waiting times in quantum-coherent conductors
- Full counting statistics of the subsystem energy in the free fermions and the quantum spin chains
- Resonances in open quantum maps
- Waiting time distributions of electron transfers through quantum dot Aharonov-Bohm interferometers
- Tomography of many-body weak values: Mach-Zehnder interferometry
- Proposal for a cumulant-based Bell test for mesoscopic junctions
- Topological Multipartite Entanglement in a Fermi Liquid
- Entanglement entropy in dynamic quantum-coherent conductors
- Two-particle scattering matrix of two interacting mesoscopic conductors
- The connection between noise and quantum correlations in a double quantum dot
- A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity
- Supersymmetry and fluctuation relations for currents in closed networks
- Full counting statistics for transport through a molecular quantum dot magnet
- Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
- Unification and new extensions of the no-pumping theorems of stochastic pumps
- Theory of quantum noise detectors based on resonant tunneling
- Kondo-Zeno crossover in the dynamics of a monitored quantum dot
- Self-consistent electron counting statistics
- Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
- Nonequilibrium noise and current fluctuations at the superconducting phase transition
- Reversible stochastic pump currents in interacting nanoscale conductors
- Conditional counting statistics of electrons tunneling through quantum dot systems measured by a quantum point contact
- Achieving the threshold regime with an over-screened Josephson junction
- Nonequilibrium transport through an interacting monitored quantum dot
- Feedback-charging a metallic island
- Quantum Measurement Induced Radiative Processes in Continuously Monitored Optical Environments