Equations of motion approach to decoherence and current noise in ballistic interferometers coupled to a quantum bath

Abstract

We present a technique for treating many particles moving inside a ballistic interferometer, under the influence of a quantum-mechanical environment (phonons, photons, Nyquist noise etc.). Our approach is based on solving the coupled Heisenberg equations of motion of the many-particle system and the bath and is inspired by the quantum Langevin method known for the Caldeira Leggett model. It allows to study decoherence and the influence of the bath on other properties of the interferometer. As a first application, we treat a fermionic Mach-Zehnder interferometer. In particular, we discuss the dephasing rate and present full analytical expressions for the leading corrections to the current noise, brought about by the coupling to the quantum bath.

10 pages, 7 figures

References in corpus (6)

• Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
• Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
• Dephasing in sequential tunneling through a double-dot interferometer
• Fermionic Mach-Zehnder interferometer subject to a quantum bath
• Relaxation and dephasing in a many-fermion generalization of the Caldeira-Leggett model
• A many-fermion generalization of the Caldeira-Leggett model

Cited by in corpus (5)

• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Electron tunneling into a quantum wire in the Fabry-Perot regime
• Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
• Universal dephasing in a chiral 1D interacting fermion system