Reservoir engineering with localized dissipation: dynamics and pre-thermalization

Abstract

Reservoir engineering lattice states using only localized engineered dissipation is extremely attractive from a resource point of view, but can suffer from long relaxation times. Here, we study the relaxation dynamics of bosonic lattice systems locally coupled to a single squeezed reservoir. Such systems can relax into a highly non-trivial pure states with long-range entanglement. In the limit of large system size, analytic expressions for the dissipation spectrum can be found by making an analogy to scattering from a localized impurity. This allows us to study the cross-over from perturbative relaxation to a slow, quantum-Zeno regime. We also find the possibility of regimes of accelerated relaxation due to a surprising impedance matching phenomena. We also study intermediate time behaviors, identifying a long-lived "prethermalized" state associated that exists within a light cone like area. This intermediate state can be quasi-stationary, and can very different entanglement properties from the ultimate dissipative steady state.

arXiv comment14 pages, 6 figures

References in corpus (22)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Preparation of Entangled States by Quantum Markov Processes
• Quantum squeezing of motion in a mechanical resonator
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Dissipative production of a maximally entangled steady state
• Stabilizing entanglement autonomously between two superconducting qubits
• A Dissipatively Stabilized Mott Insulator of Photons
• Entangled light from white noise
• Cavity-assisted quantum bath engineering
• Optical pumping into many-body entanglement
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• Ultracold quantum wires with localized losses: many-body quantum Zeno effect
• Dissipation-induced pure Gaussian state
• Engineering topological materials in microwave cavity arrays
• Circuit QED bright source for chiral entangled light based on dissipation
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Steady-state nested entanglement structures in harmonic chains with single-site squeezing manipulation
• Deterministic generation of Gaussian pure state in quasi-local dissipative system
• Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation
• Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process

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• Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
• Macroscopic distant magnon-mode entanglement via a squeezed drive
• An algorithm for tailoring a quadratic lattice with a local squeezed reservoir to stabilize generic chiral states with non-local entanglement
• Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality
• Reservoir-assisted energy migration through multiple spin-domains