2021/06/30 by Jeremy T. Young, Alexey V. Gorshkov, I. B. Spielman
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Limit (mathematics) #Master equation #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Quantum system #Statistical physics #Symmetry (geometry) #Thermodynamic limit #Work (physics) #cond-mat.quant-gas #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physrevresearch.3.043075
published as Phys. Rev. Research 3, 043075 (2021) · 10 pages, 8 figures
openalex publication_date 2021/10/27 · arxiv created 2021/12/16 · arxiv updated 2021/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this paper, we investigate the potential of this approach from three perspectives. First, we consider a double-well system in the classical large-atom-number limit, deriving the exact equations of motion in the presence of feedback. Second, we consider the same system in the limit of small atom number, revealing the effect that quantum fluctuations have on the feedback scheme. Finally, we explore the behavior of modest-sized Hubbard chains using exact numerics, demonstrating the near-deterministic preparation of number states, a tradeoff between local and nonlocal feedback for state preparation, and evidence of a feedback-driven symmetry-breaking phase transition.