Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
arXiv:2307.09482 · doi:10.1103/PhysRevX.14.021028
Abstract
We derive an exact solution for the steady state of a setup where two -coupled -qubit spin chains (with possibly non-uniform couplings) are subject to boundary Rabi drives, and common boundary loss generated by a waveguide (either bidirectional or unidirectional). For a wide range of parameters, this system has a pure entangled steady state, providing a means for stabilizing remote multi-qubit entanglement without the use of squeezed light. Our solution also provides insights into a single boundary-driven dissipative spin chain that maps to an interacting fermionic model. The non-equilibrium steady state exhibits surprising correlation effects, including an emergent pairing of hole excitations that arises from dynamically constrained hopping. Our system could be implemented in a number of experimental platforms, including circuit QED.
12 pages main text, 13 figures, 15 page appendix; equivalent to published version
References in corpus (47)
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Many body localization in Heisenberg XXZ magnet in a random field
- Preparation of Entangled States by Quantum Markov Processes
- Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
- Generalized nonreciprocity in an optomechanical circuit via synthetic magnetism and reservoir engineering
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Entangled light from white noise
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- Discrete entanglement distribution with squeezed light
- Driven-dissipative preparation of entangled states in cascaded quantum-optical networks
- Relaxation times of dissipative many-body quantum systems
- Quantum phase transition in a far from equilibrium steady state of XY spin chain
- Stabilizing Open Quantum Systems by Markovian Reservoir Engineering
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
- On-Demand Directional Microwave Photon Emission Using Waveguide Quantum Electrodynamics
- Violation of area-law scaling for the entanglement entropy in spin 1/2 chains
- Identifying optimal cycles in quantum thermal machines with reinforcement-learning
- Entanglement distillation by dissipation and continuous quantum repeaters
- Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- Trade off-Free Entanglement Stabilization in a Superconducting Qutrit-Qubit System
- Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
- Continuous quantum nondemolition measurement of the transverse component of a qubit
- Entanglement replication in driven-dissipative many body systems
- Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
- Backaction driven, robust, steady-state long-distance qubit entanglement over lossy channels
- Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir
- Steady-state nested entanglement structures in harmonic chains with single-site squeezing manipulation
- Stabilizing two-qubit entanglement by mimicking a squeezed environment
- Power-law approach to steady state in open lattices of non-interacting electrons
- Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation
- Exact solution of the infinite-range dissipative transverse-field Ising model
- Stabilizing volume-law entangled states of fermions and qubits using local dissipation
- High-fidelity dissipative engineering using parametric interactions
- Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process
- A driven-dissipative spin chain model based on exciton-polariton condensates
- Long-distance distribution of qubit-qubit entanglement using Gaussian-correlated photonic beams
- Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution
- Quantum entropic self-localization with ultracold fermions
- Autonomous Distribution of Programmable Multiqubit Entanglement in a Dual-Rail Quantum Network
- Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
- Steady states of a driven dissipative dipolar XXZ chain
Cited by in corpus (11)
- Designing open quantum systems with known steady states: Davies generators and beyond
- Parametrically controlled chiral interface for superconducting quantum devices
- Accelerating Dissipative State Preparation with Adaptive Open Quantum Dynamics
- Loss resilience of driven-dissipative remote entanglement in chiral waveguide quantum electrodynamics
- Manipulating the Relaxation Time of Boundary-Dissipative Systems through Bond Dissipation
- Dephasing-assisted diffusive dynamics in superconducting quantum circuits
- Exact density profile in a tight-binding chain with dephasing noise
- Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
- Remote magnon-phonon entanglement in the waveguide-magnomechanics
- Non-perturbative switching rates in bistable open quantum systems: from driven Kerr oscillators to dissipative cat qubits
- Autonomous stabilization of remote entanglement in a cascaded quantum network