



01332nas a2200157   4500008004100000245007400041210006900115260001500184300001200199490000600211520085200217100002201069700002501091700002101116856003701137       2021                        eng d00aFeedback-stabilized dynamical steady states in the Bose-Hubbard model0 aFeedbackstabilized dynamical steady states in the BoseHubbard mo  c12/15/2021  a043075 0 v33 a<p>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 work, 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 non-local feedback for state preparation, and evidence of a feedback-driven symmetry-breaking phase transition.</p>1 aYoung, Jeremy, T.1 aGorshkov, Alexey, V.1 aSpielman, I., B.  uhttps://arxiv.org/abs/2106.09744