Quantum reservoirs with ion chains

Abstract

Ion chains are promising platforms for studying and simulating quantum reservoirs. One interesting feature is that their vibrational modes can mediate entanglement between two objects which are coupled through the vibrational modes of the chain. In this work we analyse entanglement between the transverse vibrations of two heavy impurity defects embedded in an ion chain, which is generated by the coupling with the chain vibrations. We verify general scaling properties of the defects dynamics and demonstrate that entanglement between the defects can be a stationary feature of these dynamics. We then analyse entanglement in chains composed of tens of ions and propose a measurement scheme which allows one to verify the existence of the predicted entangled state.

14 pages, 12 figures

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• Left-handed superlattice metamaterials for circuit QED
• Dynamical Decoupling and Homogenization of continuous variable systems
• Pulsed Quantum-State Reconstruction of Dark Systems
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Decoherence of Bell states by local interactions with a suddenly quenched spin environment
• Rise and fall of entanglement between two qubits in a non-Markovian bath
• Pulsed characteristic-function measurement of a thermalizing harmonic oscillator
• Controllability in tunable chains of coupled harmonic oscillators
• Dynamics of entanglement creation between two spins coupled to a chain