We analyze a general method for the dissipative preparation and stabilization of volume-law entangled states of fermionic and qubit lattice systems in one dimension (and higher dimensions for fermions). Our approach requires minimal resources: nearest-neighbor 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 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.

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• Dissipative dynamics
• Hard-core bosons
• Open quantum systems
• Quantum control
• Quantum entanglement
• Quantum information processing
• Quantum protocols
• Quantum state engineering
• Exact solutions for many-body systems