Local Spectral Density for a Periodically Driven System of Coupled Quantum States with Strong Imperfection in Unperturbed Energies

Abstract

A random matrix theory approach is applied in order to analyze the localization properties of local spectral density for a generic system of coupled quantum states with strong static imperfection in the unperturbed energy levels. The system is excited by an external periodic field, the temporal profile of which is close to monochromatic one. The shape of local spectral density is shown to be well described by the contour obtained from a relevant model of periodically driven two-states system with irreversible losses to an external thermal bath. The shape width and the inverse participation ratio are determined as functions both of the Rabi frequency and of parameters specifying the localization effect for our system in the absence of external field.

6 pages, 5 figures, submitted to Optics and Spectroscopy

References in corpus (10)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Emergence of quantum chaos in finite interacting Fermi systems
• Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
• Localization and fluctuations of local spectral density on tree-like structures with large connectivity: Application to the quasiparticle line shape in quantum dots
• Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis
• Integrability and Quantum Chaos in Spin Glass Shards
• Statistical Properties of Random Banded Matrices with Strongly Fluctuating Diagonal Elements
• Wavepacket dynamics in energy space, RMT and quantum-classical correspondence
• Analytical Results for Random Band Matrices with Preferential Basis
• Ergodic Properties of Local Spectral Density for a Conservative System of Coupled Quantum States