Electron injection in a nanotube: noise correlations and entanglement

Abstract

Transport through a metallic carbon nanotube is considered, where electrons are injected in the bulk by a scanning tunneling microscope tip. The charge current and noise are computed both in the absence and in the presence of one dimensional Fermi liquid leads. For an infinite homogeneous nanotube, the shot noise exhibits effective charges different from the electron charge. Noise correlations between both ends of the nanotube are positive, and occur to second order only in the tunneling amplitude. The positive correlations are symptomatic of an entanglement phenomenon between quasiparticles moving right and left from the tip. This entanglement involves many body states of the boson operators which describe the collective excitations of the Luttinger liquid.

12 pages, 2 figures

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• Time-controlled charge injection in a quantum Hall fluid
• Feedback effects on the current correlations in Y-shaped conductors
• Entangled Hanbury Brown Twiss effects with edge states
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• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Coherent control of thermoelectric currents and noise in quantum thermocouples
• Minimal alternating current injection into carbon nanotubes
• Detecting Spin Transport in Quantum Magnets with Photons
• Quantum spin pumping at fractionally quantized magnetization state for a system with competing exchange interactions
• Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields
• Density of states of interacting quantum wires with impurities: a Dyson equation approach
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• Getting information from the mixed electrical-heat noise
• Extrinsic thermoelectric response of coherent conductors
• Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga-Luttinger liquid