7 papers
Classical and Quantum Properties of the Spin-Boson Dicke Model: Chaos, Localization, and Scarring
David Villaseñor, Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos +4
This review article describes major developments associated with the Dicke model, from its introduction in the 1950s to explain the transition from a normal to a superradiant phase…
Participation Ratio as a Quantum Probe of Hierarchical Stickiness
Ariel A. Galindo Duque, Miguel A. Prado Reynoso, Miguel Gonzalez +1
We investigate how quantum localization encodes the hierarchical stickiness that governs transport in mixed classical phase spaces. Using the periodically driven kicked top, we sho…
Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model
Carlos Diaz-Mejia, Sergio Lerma-Hernandez, Jorge G. Hirsch
Quantum chaos in isolated quantum systems is intimately linked to thermalization and the rapid relaxation of observables. Although the spectral properties of the chaotic phase in t…
Resonance Assisted Tunneling in Floquet spin-J systems
J. A. Segura-Landa, Diego A. Wisniacki, Sergio Lerma-Hernández +1
We apply the theory of Resonance Assisted Tunneling (RAT) to a many-body quantum kicked system with a well-defined semiclassical limit. Using a quantum resonant condition, we ident…
Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains
Javier de la Cruz, Carlos Diaz-Mejia, Sergio Lerma-Hernandez +1
We study thermalization in a disordered one-dimensional interacting bosonic system described by the Aubry-Andre model using full exact diagonalization. We find a broad chaotic ener…
Phase space geometry of collective spin systems: Scaling and Fractality
Miguel Gonzalez, Miguel A. Bastarrachea-Magnani, Jorge G. Hirsch
We examine the scaling of the inverse participation ratio of spin coherent states in the energy basis of three collective spin systems: a bounded harmonic oscillator, the Lipkin-Me…