Reservoir-Engineered Spin Squeezing: Macroscopic Even-Odd Effects and Hybrid-Systems Implementations

• Published in: Physical review. X 2022-01, Vol.12 (1), p.011015, Article 011015
• Main Authors: Groszkowski, Peter, Koppenhöfer, Martin, Lau, Hoi-Kwan, Clerk, A. A.
• Format: Article
• Language: English
• Subjects: Compressing; Crystal defects; Diamonds; Dissipation; Entangled states; Hybrid systems; Low level; Microwave circuits; Opto-mechanics; Platforms; Proposals; Reservoirs; Sensitivity; Squeezed states (quantum theory); Steady state; Superconductivity; Time
• ISSN: 2160-3308; 2160-3308
• DOI: 10.1103/PhysRevX.12.011015

We revisit the dissipative approach to producing and stabilizing spin-squeezed states of an ensemble ofNtwo-level systems, providing a detailed analysis of two surprising yet generic features of such protocols. The first is a macroscopic sensitivity of the steady state to whetherNis even or odd. We discuss how this effect can be avoided (if the goal is parity-insensitive squeezing) or could be exploited as a new kind of sensing modality to detect the addition or removal of a single spin. The second effect is an anomalous emergent long timescale and a “prethermalized” regime that occurs for even weak single-spin dephasing. This effect allows one to have strong spin squeezing over a long transient time even though the level of spin squeezing in the steady state is very small. We also discuss a general hybrid-systems approach for implementing dissipative spin squeezing that does not require squeezed input light or complex multilevel atoms, but instead makes use of bosonic reservoir-engineering ideas. Our protocol is compatible with a variety of platforms, including trapped ions, nitrogen-vacancy defect spins coupled to diamond optomechanical crystals, and spin ensembles coupled to superconducting microwave circuits.