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

• Published in: arXiv.org
• Main Authors: Lingenfelter, Andrew, Yao, Mingxing, Pocklington, Andrew, Yu-Xin, Wang, Abdullah, Irfan, Pfaff, Wolfgang, Clerk, Aashish A
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 20.05.2024
• Subjects: Chain entanglement; Circuits; Couplings; Entanglement; Exact solutions; Physics - Mesoscale and Nanoscale Physics; Physics - Quantum Physics; Quantum entanglement; Qubits (quantum computing); Steady state; Waveguides
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2307.09482

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.