Leggett-Garg inequalities for the statistics of electron transport
arXiv:1203.4922 · doi:10.1103/PhysRevB.86.085418
Abstract
We derive a set of Leggett-Garg inequalities (temporal Bell's inequalities) for the moment generating function of charge transferred through a conductor. Violation of these inequalities demonstrates the absence of a macroscopic-real description of the transport process. We show how these inequalities can be violated by quantum-mechanical systems and consider transport through normal and superconducting single-electron transistors as examples.
arXiv comment5 pages; 3 figures
References in corpus (20)
- Electron Counting Statistics and Coherent States of Electric Current
- Counting statistics of single-electron transport in a quantum dot
- Experimental violation of a Bell's inequality in time with weak measurement
- Universal oscillations in counting statistics
- Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
- Bell inequalities and entanglement in solid state devices
- Classical world arising out of quantum physics under the restriction of coarse-grained measurements
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
- Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
- Experimental violation of the Leggett-Garg inequality under decoherence
- Distinguishing quantum and classical transport through nanostructures
- Charge transfer counting statistics revisited
- Finite-frequency counting statistics of electron transport: Markovian Theory
- 3e tunneling processes in a superconducting single-electron tunneling transistor
- Proposal for a cumulant-based Bell test for mesoscopic junctions
- Quantum versus classical counting in nonMarkovian master equations
- Measuring the Entanglement between Double Quantum Dot Charge Qubits
- Sensitivity and Linearity of Superconducting Radio-Frequency Single-Electron Transistors: Effects of Quantum Charge Fluctuations
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