Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process

Abstract

We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of $(2\aleph +1)$ quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then completely parametrize the class of $(2\aleph +1)$-mode pure Gaussian states that can be prepared by this type of quantum harmonic oscillator chain. This parametrization allows us to determine the steady-state entanglement properties of such quantum harmonic oscillator chains.

27 pages, 4 figures

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• Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
• Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
• Accelerating Dissipative State Preparation with Adaptive Open Quantum Dynamics
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
• Macroscopic distant magnon-mode entanglement via a squeezed drive
• Controllability in tunable chains of coupled harmonic oscillators
• An algorithm for tailoring a quadratic lattice with a local squeezed reservoir to stabilize generic chiral states with non-local entanglement
• Stability via symmetry breaking in interacting driven systems
• Repulsively diverging gradient of the density functional in the Reduced Density Matrix Functional Theory