183 citations · 1.1k across the 44 of their papers we have counts for
5 papers · 1 filter
Regularity and chaos in cavity QED
M. A. Bastarrachea-Magnani, B. López-del-Carpio, J. Chávez-Carlos +2
The interaction of a quantized electromagnetic field in a cavity with a set of two-level atoms inside can be described with algebraic Hamiltonians of increasing complexity, from th…
Adiabatic invariants for the regular region of the Dicke model
M. A. Bastarrachea-Magnani, A. Relaño, S. Lerma-Hernández +3
Adiabatic invariants are introduced and shown to provide an approximate second integral of motion for the non-integrable Dicke model, in the energy region where the system exhibits…
Approximated integrability of the Dicke model
A. Relaño, M. A. Bastarrachea-Magnani, S. Lerma-Hernández
A very approximate second integral of motion of the Dicke model is identified within a broad region above the ground state, and for a wide range of values of the external parameter…
Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernández, Jorge G. Hirsch
The thermodynamical properties of a generalized Dicke model are calculated and related with the critical properties of its energy spectrum, namely the quantum phase transitions (QP…
Classical chaos in atom-field systems
J. Chávez-Carlos, M. A. Bastarrachea-Magnani, S. Lerma-Hernández +1
The relation between the onset of chaos and critical phenomena, like Quantum Phase Transitions (QPT) and Excited-State Quantum Phase transitions (ESQPT), is analyzed for atom-field…