Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization

Abstract

We derive an exact solution for the steady state of a setup where two $XX$-coupled $N$-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 $XX$ 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

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• 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
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