2019/11/04 by S. V. Radionov, Radionov, S. V.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1911.01820
openalex publication_date 2019/11/04 · arxiv created 2019/12/13 · arxiv updated 2019/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the perturbative response of a complex quantum system on time changes of an external parameter X. The driven dynamics is treated in adiabatic basis of the system's Hamiltonian H[X]. Within a random matrix approach we obtained non--Markovian Fokker--Planck equation for the occupancy of given adiabatic state. We observed normal diffusion regime of the driven quantum dynamics at quite small values of the memory time defined by the time scales of the X--correlations and energy--distribution of the coupling matrix elements (∂ H/∂ X)nm. Here the normal energy diffusion was found to drop out with the width of the matrix elements' energy--distribution and the diffusion may be significantly suppressed with the decrease of the correlations between the matrix elements. In the opposite limit of relatively large memory times we obtained ballistic regime of the dynamics.