Dynamics of interacting Dicke model in a coupled-cavity array

Abstract

We consider the dynamics of an array of mutually interacting cavities, each containing an ensemble of N two-level atoms. By exploring the possibilities offered by ensembles of various dimensions and a range of atom-light and photon-hopping values, we investigate the generation of multi-site entanglement, as well as the performance of excitation transfer across the array resulting from the competition between on-site non-linearities of the matter-light interaction and inter-site photon hopping. In particular, for a three cavities interacting system it is observed that the initial excitation in the first cavity completely transfers to the ensemble in the third cavity through the hopping of photons between the adjacent cavities. Probabilities of the transfer of excitation of the cavity modes and ensembles exhibit characteristics of fast and slow oscillations governed by coupling and hopping parameters respectively. In the large hopping case, by seeding an initial excitation in the cavity at the center of the array, a tripartite W state, as well as a bipartite maximally entangled state is obtained, depending on the interaction time. Population of the ensemble in a cavity has a positive impact on the rate of excitation-transfer between the ensembles and their local cavity modes. In particular, for ensembles of 5 to 7 atoms, tripartite W states can be produced even when the hopping rate is comparable to the cavity-atom one. A similar behavior of the transfer of excitation is observed for a four coupled-cavity system with two initial excitations.

Entanglement dynamics of Nitrogen-vacancy centers spin ensembles coupled to a superconducting resonator

“…However, this issue goes beyond the scope of the present paper. Noticeably, the multi-NVE dynamics in different model have been studied for large-scale arrays 72 .…”

Enhancing quantum phase transitions in the critical point of Extended TC-Dicke model via Stark effect

“…furthermore, a spin squeezing, an intrinsic quantum property, in the Dicke model without the rotating-wave approximation have been studied and the distribution of the mean spin directions when quantum dynamics takes place have been investigated 14 . The dynamics of N coupled cavities, each containing an ensemble of N-identical two-level atoms in the slandered Dicke model have been discussed 15 . The generalized DM is used to study a gas of ultracold two-level atoms confined in a cavity, taking account of atomic center-of-mass motion and cavity-mode variations, and it is used to analyze separately the cases of a Gaussian, and a standing wave mode shape 16 .…”

Quantum phase transitions of light in a dissipative Dicke-Bose-Hubbard model

“…As the number of atoms in each cavity increases, the collective effects due to atomic interactions among themselves give rise to intriguing many-body phenomena. In quantum optics the * Electronic address: tanlei@lzu.edu.cn Dicke model is a paradigm of collective behavior [27] that describes the interaction of ensembles of TLAs that are collectively coupled to the single mode of radiation of a cavity [28]. Numerous investigations of interesting physical effects and their experiment realization [29], such as the super-radiation phase [30][31][32], the superradiant Mott Insulator [33] and the dynamical phase transition [34], are discussed.…”

“…Thus, a Dicke-Bose-Hubbard (DBH) model that includes more than one identical coupled cavities and N identical TLAs in each cavity has been conducted to study the quantum phase transitions of light without considering the counter-rotating terms [35]. The transfer of excitations under a large range of operative conditions is also demonstrated and explored by tuning the controlling parameters in the DBH model [28]. Both the emergence of a polaritonic glassy phase [36] and the quantum phase transitions from the superfluid to the Bose-glass and the Mott-insulator states [37] have also been studied.…”