Quantum Dynamics of Spins Coupled by Electrons in 1D Channel

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.

2 figures, in REVTEX

References in corpus (7)

• Single-shot read-out of an individual electron spin in a quantum dot
• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Transport spectroscopy of Kondo quantum dots coupled by RKKY interaction
• Decoherence of localized spins interacting via RKKY interaction
• Indirect coupling between spins in semiconductor quantum dots
• Experiments on the Fermi to Tomonaga-Luttinger liquid transition in quasi-1D systems
• Spin and Current Variations in Josephson Junctions

Cited by in corpus (7)

• Optical Spectrum of MoS${}_2$: Many-body Effects and Diversity of Exciton States
• Screening and Many-Body Effects in Two-Dimensional Crystals: Monolayer MoS${}_2$
• Non-uniform sampling schemes of the Brillouin zone for many-electron perturbation-theory calculations in reduced dimensionality
• Entanglement and Quantum Noise Due to a Thermal Bosonic Field
• Coherent Interaction of Spins Induced by Thermal Bosonic Environment
• Quantitative Treatment of Decoherence
• Onset of Entanglement and Noise Cross-Correlations in Two-Qubit System Interacting with Common Bosonic Bath