Stabilizing volume-law entangled states of fermions and qubits using local dissipation

TL;DR

This paper presents a minimal-resource method for dissipatively preparing and stabilizing volume-law entangled states in fermionic and qubit systems, applicable to various experimental platforms.

Contribution

It introduces a novel approach requiring only local Hamiltonian interactions and a single dissipative pairing, enabling stabilization of complex entangled states.

Findings

Existence of a unique pure entangled steady state (rainbow state)

Method applicable to 1D and higher-dimensional systems

Compatible with superconducting circuits and trapped ions

Abstract

We analyze a general method for the dissipative preparation and stabilization of volume-law entangled states of fermionic and qubit lattice systems in 1D (and higher dimensions for fermions). Our approach requires minimal resources: nearest-neighbour Hamiltonian interactions that obey a suitable chiral symmetry, and the realization of just a single, spatially-localized dissipative pairing interaction. In the case of a qubit array, the dissipative model we study is not integrable and maps to an interacting fermionic problem. Nonetheless, we analytically show the existence of a unique pure entangled steady state (a so-called rainbow state). Our ideas are compatible with a number of experimental platforms, including superconducting circuits and trapped ions.