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

Fuente: arXiv
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Autori principali: Lingenfelter, Andrew, Yao, Mingxing, Pocklington, Andrew, Wang, Yu-Xin, Irfan, Abdullah, Pfaff, Wolfgang, Clerk, Aashish A.
Natura: Preprint
Pubblicazione: 2023
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author Lingenfelter, Andrew
Yao, Mingxing
Pocklington, Andrew
Wang, Yu-Xin
Irfan, Abdullah
Pfaff, Wolfgang
Clerk, Aashish A.
author_facet Lingenfelter, Andrew
Yao, Mingxing
Pocklington, Andrew
Wang, Yu-Xin
Irfan, Abdullah
Pfaff, Wolfgang
Clerk, Aashish A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_09482
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
Lingenfelter, Andrew
Yao, Mingxing
Pocklington, Andrew
Wang, Yu-Xin
Irfan, Abdullah
Pfaff, Wolfgang
Clerk, Aashish A.
Quantum Physics
Mesoscale and Nanoscale Physics
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.
title Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2307.09482