2020/09/20 by Tangyou Huang, Tang-You Huang, Jia Zhang +2 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Feshbach resonance #Mathematical optimization #Mathematics #Matter wave #Nonlinear system #Optimal control #Physics #Quantum mechanics #Regularization (linguistics) #Soliton #cond-mat.quant-gas #nlin.PS
paper · pdf · doi:10.1103/physreva.102.053313
published in Physical Review A 102(5), 053313 (American Physical Society)
arxiv created 2020/09/20 · openalex publication_date 2020/11/13 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by recent experiments, we present the time-optimal variational control of a bright matter-wave soliton trapped in the harmonic trap by manipulating the atomic interaction through Feshbach resonances. More specifically, we first apply the variational technique to derive the motion equation for capturing the soliton's shape and, second, combine an inverse-engineering method with optimal control theory to design the scatter length for implementing time-optimal decompression. Since the minimum-time solution is of the ``bang-bang'' type, the smooth regularization is further adopted to smooth the on-off controller out, thus avoiding the heating and atom loss induced from the magnetic field ramp across a Feshbach resonance, in practice.