Year: 2025
Type: article
Abstract: We analyze the properties of Krylov state complexity in qubit dynamics, considering a single qubit and a qubit pair. A geometrical picture of the Krylov complexity is discussed for the single-qubit case, whereas it becomes non-trivial for the two-qubit case. Considering the particular case of interacting Rydberg two-level atoms, we show that the Krylov basis obtained using an effective Hamiltonian minimizes the time-averaged spread complexity compared to that which is obtained from the original Hamiltonian. We further generalize the latter property to an arbitrary Hamiltonian in which the entire Hilbert space comprises of two subspaces provided a weak coupling between them.
Authors: Siddharth Seetharaman, Chetanya Singh, Rejish Nath
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: Department of Science and Technology, Ministry of Science and Technology, India, University Grants Commission, Indian Institute of Science Education and Research Pune, Ministry of Electronics and Information technology, Indian Institute of Science Education and Research Mohali, Science and Engineering Research Board
OpenAlex ID: W4409501950