2024/09/06 by Abhishek Chowdhury, Chowdhury, Abhishek, Aryabrat Mahapatra +1 · 1 citation
Chemistry · Computer Science · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Molecular spectroscopy and chirality #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2409.04156
openalex publication_date 2024/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we investigate the Krylov complexity in quantum optical systems subject to time--dependent classical external fields. We focus on various interacting quantum optical models, including a collection of two--level atoms, photonic systems and the quenched oscillator. These models have Hamiltonians which are linear in the generators of SU(2), H(1) (Heisenberg--Weyl) and SU(1,1) group symmetries allowing for a straightforward identification of the Krylov basis. We analyze the behaviour of complexity for these systems in different regimes of the driven field, focusing primarily on resonances. This is achieved via the Gauss decomposition of the unitary evolution operators for the group symmetries. Additionally, we also investigate the Krylov complexity in a three--level SU(3) atomic system using the Lanczos algorithm, revealing the underlying complexity dynamics. Throughout we have exploited the the relevant group structures to simplify our explorations.