2018/09/30 by Matteo Brunelli, Oussama Houhou · 30 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Computer science #Gaussian #Geology #Geometry #Mathematics #Mechanical and Optical Resonators #Petroleum engineering #Physics #Quadratic equation #Quantum Information and Cryptography #quant-ph
paper · pdf · doi:10.1103/physreva.100.013831
published in Physical Review A 100(1) (American Physical Society) · 20 pages, 7 figures
openalex publication_date 2019/07/16 · arxiv created 2019/07/18 · arxiv updated 2019/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the dissipative preparation of pure non-Gaussian states of a target mode which is coupled both linearly and quadratically to an auxiliary damped mode. We show that any pure state achieved independently of the initial condition is either (i) a cubic phase state, namely, a state given by the action of a non-Gaussian (cubic) unitary on a squeezed vacuum or (ii) a (squeezed and displaced) finite superposition of Fock states. Which of the two states is realized depends on whether the transformation induced by the engineered reservoir on the target mode is canonical (i) or not (ii). We discuss how to prepare these states in an optomechanical cavity driven with multiple control lasers, by tuning the relative strengths and phases of the drives. Relevant examples in (ii) include the stabilization of mechanical Schr"odinger-cat-like states or Fock-type states of any order. Our analysis is entirely analytical: it extends reservoir engineering to the non-Gaussian regime and enables the preparation of novel mechanical states with negative Wigner function.