Parity Deformed Jaynes-Cummings Model: “Robust Maximally Entangled States”

Abstract

The parity-deformations of the quantum harmonic oscillator are used to describe the generalized Jaynes-Cummings model based on the λ-analog of the Heisenberg algebra. The behavior is interestingly that of a coupled system comprising a two-level atom and a cavity field assisted by a continuous external classical field. The dynamical characters of the system is explored under the influence of the external field. In particular, we analytically study the generation of robust and maximally entangled states formed by a two-level atom trapped in a lossy cavity interacting with an external centrifugal field. We investigate the influence of deformation and detuning parameters on the degree of the quantum entanglement and the atomic population inversion. Under the condition of a linear interaction controlled by an external field, the maximally entangled states may emerge periodically along with time evolution. In the dissipation regime, the entanglement of the parity deformed JCM are preserved more with the increase of the deformation parameter, i.e. the stronger external field induces better degree of entanglement.

Global organization of neuronal activity only requires unstructured local connectivity

“…Models of balanced networks have been investigated for more than two decades (21,37,10,11) and experimental evidence for cortical networks operating in the balanced state is overwhelming (38,39,40). In contrast, the dynamically balanced critical state was only recently introduced and related to motor cortex activity (29): It is a specific type of balanced network that operates close to an instability as a result of large heterogeneity in the network connectivity.…”

“…Models of balanced networks have been investigated before ( 24,39,3,21 ) and experimental evidence for cortical networks operating in the balanced state is overwhelming ( 40, 41, 42 ). Excess of inhibition in such networks yields stable and balanced population-averaged activities as well as low average covariances ( 21 ).…”

Underlying SUSY in a generalized Jaynes–Cummings model

“…The parity deformed JC arises from a -analog of the Heisenberg algebra 49 , where is the deformation parameter and is the parity operator. The functions defining the model are , , and .…”

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

“…Notice that the most typical para-Bose states can be generated in a parity-deformed Jaynes-Cummings model in the presence of a centrifugally external classical field. [31] From another perspective of this field of research and in direct relation to the present work, one may consider the application of DFSs known as highly nonclassical states of harmonic oscillator generated by acting upon number states with displacement operator. For instance, the interaction of DFSs with Kerr nonlinearity has been reported.…”

“…Notice that the most typical para‐Bose states can be generated in a parity‐deformed Jaynes–Cummings model in the presence of a centrifugally external classical field. [ 31 ]…”