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

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.

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• Accelerating Dissipative State Preparation with Adaptive Open Quantum Dynamics
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Linear and Non-Linear Response of Quadratic Lindbladians
• Generation of entanglement and non-stationary states via competing coherent and incoherent bosonic hopping
• Tunneling Spectroscopy in Superconducting Circuit Lattices
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• $Q$-Deformed Rainbows: a Universal Simulator of Free Entanglement Spectra
• Breaking conservation law enables steady-state entanglement out of equilibrium
• Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
• Creating long-range entangled Majorana pairs: from spin-1/2 twisted Kitaev to generalized XY chains