Quantum Dynamics of Spins Coupled by Electrons in 1D Channel
Dmitry Mozyrsky, Alexander Dementsov, and Vladimir Privman
TL;DR
This paper presents a unified theoretical framework for understanding how two spins interact and experience quantum noise when coupled through a one-dimensional electron gas, relevant for quantum information processing.
Contribution
It introduces a comprehensive model for the induced interaction and noise in spin systems coupled via a Luttinger liquid, aiding quantum coherence analysis.
Findings
Quantitative evaluation of coherence in spin dynamics
Analysis of induced exchange interactions in 1D channels
Relevance to experimental qubit control and measurement
Abstract
We develop a unified theoretical description of the induced interaction and quantum noise in a system of two spins (qubits) coupled via a quasi-one-dimensional electron gas in the Luttinger liquid regime. Our results allow evaluation of the degree of coherence in quantum dynamics driven by the induced indirect exchange interaction of localized magnetic moments due to conduction electrons, in channel geometries recently experimentally studied for qubit control and measurement.
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