The role of dipole-dipole interaction and the scattering strength in entanglement dynamics between atoms surrounding a microtoroidal cavity

Generation and transfer of entangled states between two connected microtoroidal cavities: Analysis of different types of coupling

“…( 27) for the reduced density operator ρ j , one may calculate the Concurrence for various bipartite states of cavity fields using Eq. (21). The results will be presented below.…”

“…Consider a system composed of two separate toroidal cavities, each one supporting two whispering gallery counter-propagating modes (WGM's) of frequencies ω ci (i = 1, 2) with corresponding photon annihilation (creation) operators given by a i (a † i ) and b i (b † i ). We also assume an interaction between the two WGMs (with intra-cavity coupling constants J i ) induced by small deformations in the toroid [21,22]. Hence, the Hamiltonian of such a system will read:…”

“…Here, we report protocols of generation and transfer of entangled states between two coupled microtoroidal cavities, considering setups with two different types of inter-cavity couplings, namely: i) a bridge qubit; and ii) evanescent waves. Each one of the cavities supports two counter-propagating WGMs, clockwise and counterclockwise propagating modes, that may be coupled to each other due the cavity imperfections [21,22]. We are interested in the investigation of the effects of different couplings on the dynamics of entanglement of the WGMs in the cavities, as well as in the control of the generation of entangled states by tuning the parameters of the system.…”

Generation of Entanglement between Two Two-Level Atoms Coupled to a Microtoroidal Cavity Via Thermal Field

“…The control of two-atom entanglement with two thermal fields by the hopping strength and the detuning between the atomic transition and the cavities has been demonstrated in [20]. In addition, the role of dipole-dipole interaction and scattering strength in the generation of entanglement between two and three two-level atoms coupled to the WGMs cavity has been investigated in [21]. However, despite previous work, the persistence of entanglement at high temperatures between two-level atoms coupled to the WGMs by adjusting the parameters has not been studied yet.…”