Quantum impurity approach to a coupled qubit problem

Abstract

We consider a system of two qubits at the ends of a finite length 1D cavity. This problem is mapped onto the double-Kondo model which is also shown to describe the low energy physics of a finite length quantum wire with resonant levels at its ends. At the Toulouse point the ground state energy and the average populations and correlations of the qubits or resonant levels at zero temperature are computed. These results show that the effective interactions between the qubits or resonant levels can be used to probe their associated Kondo length scale.

arXiv commentNew version (accepted in Europhysics Letters)

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• Quantum Entanglement in the Two Impurity Kondo Model
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Frustration of decoherence in $Y$-shaped superconducting Josephson networks
• Photon-instanton collider implemented by a superconducting circuit
• Electrical Current from Quantum Vacuum Fluctuations in Nano-engines
• Sudden change of the thermal contact between two quantum systems
• Photon Correlations Generated by Inelastic Scattering in a One-Dimensional Waveguide Coupled to Three-Level Systems