Krylov subspace method for quantum dynamics
- Date
- December 23 (Mon) at 14:00 - 15:00, 2024 (JST)
- Speaker
-
- Kazutaka Takahashi (Postdoctoral Researcher, Department of Physics and Materials Science, University of Luxembourg, Luxembourg)
- Language
- English
- Host
- Masazumi Honda
For a given system, the structure of the minimal subspace where the state unfolds determines the static and dynamical properties of the state. The Krylov subspace method is a mathematical framework for constructing the space systematically and has been applied to a wide variety of problems. The method was applicable only for systems with time-indepedent generators. As applications to quantum dynamics with time-dependent Hamiltonians, we discuss the constrution of the adiabatic gauge potential and the generalization of the Krylov algorithm to time-dependent generators.
References
- K. Takahashi, A. del Campo, Shortcuts to Adiabaticity in Krylov Space, Physical Review X 14, 011032 (2024)
- K. Takahashi, A. del Campo, Krylov Subspace Method for Quantum Dynamics with Time-Dependent Generators, arXiv: 2408.08383
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