2017/07/31 by Marcus Theisen, Francesco Petiziol, Stefano Carretta +3
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Avoided crossing #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Eigenvalues and eigenvectors #Fidelity #Function (biology) #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Quantum system #Scaling #Statistical physics #Transistor #Voltage #Zener diode #quant-ph
paper · pdf · doi:10.1103/physreva.96.013431
published as Phys. Rev. A 96, 013431 (2017) · 11 pages, 7 figures
arxiv created 2017/07/31 · openalex publication_date 2017/07/31 · arxiv updated 2017/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study superadiabatic quantum control of a three-level quantum system whose energy spectrum exhibits multiple avoided crossings. In particular, we investigate the possibility of treating the full control task in terms of independent two-level Landau-Zener problems. We first show that the time profiles of the elements of the full control Hamiltonian are characterized by peaks centered around the crossing times. These peaks decay algebraically for large times. In principle, such a power-law scaling invalidates the hypothesis of perfect separability. Nonetheless, we address the problem from a pragmatic point of view by studying the fidelity obtained through separate control as a function of the intercrossing separation. This procedure may be a good approach to achieve approximate adiabatic driving of a specific instantaneous eigenstate in realistic implementations.