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

It has long been appreciated that suitably tailored dissipation can be used to stabilize many-body entangled states [1,2]. Unfortunately, the required resources are often extremely daunting (i.e. control of non-trivial dissipation on every site of a large lattice, or the ability to prepare the system initially in a highly non-trivial state). Here, we analyze a surprisingly simple scheme that stabilizes both qubit and fermionic lattices using only a single dissipative pairing process applied to two adjacent lattice sites [3]. The resulting entanglement stabilization is insensitive to the initial state, and is robust to lattice disorder. The qubit version of our setup is not integrable, mapping onto an interacting fermionic problem. Nonetheless, we are able to analytically describe the existence of a unique, pure entangled steady state. We outline how our technique could be physically realized on a number of experimental platforms, including superconducting circuits and trapped ions.

[1] Poyatos et al., Phys. Rev. Lett. 77, 4728 (1996).

[2] Plenio et al., Phys. Rev. Lett. 88, 197901 (2002).

[3] A. Pocklington, Y.-X. Wang, Y. Yanay, and A. A. Clerk, arXiv:2107.14121