Two-particle scattering matrix of two interacting mesoscopic conductors

Abstract

We consider two quantum coherent conductors interacting weakly via long range Coulomb forces. We describe the interaction in terms of two-particle collisions described by a two-particle scattering matrix. As an example we determine the transmission probability and correlations in a two-particle scattering experiment and find that the results can be expressed in terms of the density-of-states matrices of the non-interacting scatterers.

4 pages, 2 figures

References in corpus (21)

• Random-Matrix Theory of Quantum Transport
• An Electronic Mach-Zehnder Interferometer
• Measurements with a noninvasive detector and dephasing mechanism
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
• Phase coherent transmission through interacting mesoscopic systems
• Fractional Shot Noise in the Kondo Regime
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
• Counting statistics and decoherence in coupled quantum dots
• Tunable Noise Cross-Correlations in a Double Quantum Dot
• Conditional statistics of electron transport in interacting nanoscale conductors
• Charge Fluctuations in Quantum Point Contacts and Chaotic Cavities in the Presence of Transport
• Charge Relaxation and Dephasing in Coulomb Coupled Conductors
• Distribution of parametric conductance derivatives of a quantum dot
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Quantum dot dephasing by edge states
• Coulomb Drag in Coherent Mesoscopic Systems
• Two interacting quasiparticles above the Fermi sea
• Finite frequency quantum noise in an interacting mesoscopic conductor
• Correlated two-electron transport: a principle for a novel charge pump

Cited by in corpus (21)

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• Fluctuations and noise-limited sensing near the exceptional point of $\mathcal{P}\mathcal{T}$-symmetric resonator systems
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• Single-electron thermal devices coupled to a mesoscopic gate
• Thermoelectrics with Coulomb coupled quantum dots
• Shot Noise in SU(N) Quantum Dot Kondo Effects
• Scattering of electrons from an interacting region
• On the validity and breakdown of the Onsager symmetry in mesoscopic conductors interacting with environments
• Partition of Two Interacting Electrons by a Potential Barrier
• N-particle scattering matrix for electrons interacting on a quantum dot
• Nonequilibrium charge transport in an interacting open system: two-particle resonance and current asymmetry
• Cross-correlation of two interacting conductors
• Effect of incoherent scattering on three-terminal quantum Hall thermoelectrics
• Analyzing the measured phase in the multichannel Aharonov-Bohm interferometer
• Universal electric current of interacting resonant-level models with asymmetric interactions: An extension of the Landauer formula
• Magnetotransport in Aharonov Bohm interferometers: Exact numerical simulations
• Collision of two interacting electrons on a mesoscopic beamsplitter: exact solution in the classical limit
• Two mesoscopic models of two interacting electrons
• Scattering matrix approach to interacting electron transport
• Entanglement Generation and Stabilization by Coherent Collisions