Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel

We study the dissipative stabilization of entangled states in arrays of quantum systems. Specifically, we are interested in the states of qubits (spin-1/2) which may or may not interact with one or more cavities (bosonic modes). In all cases only one element, either a cavity or a qubit, is lossy and irreversibly coupled to a reservoir. When the lossy element is a cavity, we consider a squeezed reservoir and only interactions which conserve the number of cavity excitations. Instead, when the lossy element is a qubit, pure decay and a properly selected structure of XY-interactions are taken into account. We show that in all cases, in the steady state, many pairs of distant, non-directly interacting qubits, which cover the whole array, can get entangled in a stationary way, by means of the interplay of dissipation and local interactions.

Automated summary

We study the dissipative stabilization of entangled states in arrays of quantum systems, focusing on qubits (spin-1/2) that may or may not interact with cavities (bosonic modes). When a cavity is lossy, we consider a squeezed reservoir and interactions that conserve cavity excitations. When a qubit is lossy, we take into account pure decay and a specially designed structure of XY interactions. We show that in the steady state, distant non-directly interacting qubit pairs can become entangled through the interplay of dissipation and local interactions.