Dynamics of nonclassicality in a generalized Tavis Cummings model with XY spin $(1/2,1)$ atomic interactions

Abstract

We investigate the dynamics of nonclassicality, quantified by the Wigner Yanase skew information, in generalized Jaynes Cummings (JC) and Tavis Cummings (TC) models describing light matter interactions in cavity quantum electrodynamics. We first analyze a generalized JC model consisting of a single bosonic cavity mode coupled to a spin 1 atom, focusing on the temporal evolution of nonclassicality in both the cavity field and the atomic subsystem. We then extend this framework to a generalized TC model by introducing an additional spin $1/2$ atom, enabling us to examine the influence of collective atomic degrees of freedom. The global dynamics are investigated both with and without an $XY$ spin interaction. Our results show that, under resonance conditions, the system exhibits efficient excitation exchange between the cavity field and the atomic subsystem, resulting in regular, coherent nonclassicality dynamics and enhanced field nonclassicality generation. Conversely, an increasing longitudinal magnetic field acts primarily as an effective detuning parameter rather than a direct exchange interaction. In this off resonant regime, the atom field coupling is substantially weakened, localizing excitations within the atomic subsystem. This localization suppresses coherent energy transfer to the cavity field, leading to a pronounced reduction in field nonclassicality, while the atomic subsystem retains the majority of the quantum correlations. Notably, atomic superposition states exhibit highly irregular spin dynamics, reflecting a detuning-induced redistribution of quantum correlations. These findings demonstrate that the dynamics of spin and field nonclassicality are governed primarily by interaction mediated excitation flow and resonance conditions rather than the initial energy distribution alone, ..

References in corpus (22)

• Quantum Communication
• Quantum Computing
• Optical Quantum Computing
• Advances in Photonic Quantum Sensing
• Negativity of the Wigner function as an indicator of nonclassicality
• Negativity and contextuality are equivalent notions of nonclassicality
• Nonclassicality as a Quantifiable Resource for Quantum Metrology
• Entanglement Sharing in the Two-Atom Tavis-Cummings Model
• Entropy in general physical theories
• Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
• Entropic measures of nonclassical correlations
• On the measure of nonclassicality of field states
• Roughness as Classicality Indicator of a Quantum State
• Nonclassical distance in multimode bosonic systems
• Quantumness Witnesses
• Quantum corrections to the semiclassical collective dynamics in the Tavis-Cummings model
• Process output nonclassicality and nonclassicality depth of quantum-optical channels
• Raman-assisted Rabi resonances in two-mode cavity QED
• Witnesses of non-classicality for simulated hybrid quantum systems
• Efficient detection of nonclassicality using moments of the Wigner function
• Temporal witnesses of non-classicality and conservation laws
• Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction