Rydberg Polaritons in a Cavity: A Superradiant Solid

Abstract

We study an optical cavity coupled to a lattice of Rydberg atoms, which can be represented by a generalized Dicke model. We show that the competition between the atom-atom interaction and atom-light coupling induces a rich phase diagram. A novel superradiant solid (SRS) phase is found, where both the superradiance and crystalline orders coexist. Different from the normal second order superradiance transition, here both the solid-1/2 and SRS to SR phase transitions are first order. These results are confirmed by large scale quantum Monte Carlo simulations.

Tuning the quantum phase transition of bosons in optical lattices via periodic modulation of thes-wave scattering length

“…This agreement order by order in the hopping expansion is insofar surprising as the strong-coupling method yields reliable results for low dimensions, whereas EPLT has shown to be most accurate for high dimensions [37]. In addition we have obtained high-precision QMC results from developing an algorithm on the basis of a stochastic series expansion [52][53][54][55][56]. In order to get the high accuracy quantum phase diagram in the thermodynamic limit from QMC, we performed a finite-size scaling with the lattice sizes N = 8 × 8, 10 × 10, and 12 × 12 at the temperature T = U/(20N ).…”

Ground-state blockade of Rydberg atoms and application in entanglement generation

“…Hence we can obtain a high fidelity of two-atom entanglement 99.14%. For the second scheme based on quantum feedback control, the experimentally available coupling strength between atom and cavity g = 2π × 14.4 MHz and the cavity decaying rate κ = 2π × 0.66 MHz should also be taken into account [46][47][48]. In this case, we choose ∆ p = 2π×1.44 GHz and Ω b = g in order to gain a fidelity 98.95% at a short time about t = 50/g eff ≈ 55.26 µs.…”

Two-photon absorption and emission by Rydberg atoms in coupled cavities

“…The optical nonlinearity has been experimentally explored with strongly interacting Rydberg atoms in cavities [12], even at the level of individual * huaizhi.wu@fzu.edu.cn † zbyang@fzu.edu.cn quanta [13]. Moreover, Zhang et al have shown that coupling of optical cavity to a lattice of Rydberg atoms can be described by the Dicke model, the competition between the atom-atom interaction and atom-light coupling can induce a novel superradiant solid phase [9]. On the other hand, rich quantum dynamics has been found in the coupling of the coupled cavities with neutral atoms [14,15].…”

“…Recently, high-finesse optical cavity has been used to couple Rydberg atoms with quantized cavity modes, which presents potential applications in studying photon nonlinearity and many-body physics [8][9][10]. Neutral atoms excited by laser beams and the cavity field to high-lying Rydberg states can interact through strong and long-range dipole-dipole or van der Waals interaction [11].…”