Strongly Interacting Polaritons in Coupled Arrays of Cavities

Abstract

The experimental observation of quantum phenomena in strongly correlated many particle systems is difficult because of the short length-and timescales involved. Obtaining at the same time detailed control of individual constituents appears even more challenging and thus to date inhibits employing such systems as quantum computing devices. Substantial progress to overcome these problems has been achieved with cold atoms in optical lattices, where a detailed control of collective properties is feasible but it is very difficult to address and hence control or measure individual sites. Here we show, that polaritons, combined atom and photon excitations, in an array of cavities such as a photonic crystal or coupled toroidal micro-cavities, can form a strongly interacting many body system, where individual particles can be controlled and measured. All individual building blocks of the proposed setting have already been experimentally realised, thus demonstrating the potential of this device as a quantum simulator. With the possibility to create attractive on-site potentials the scheme allows for the creation of highly entangled states and a phase with particles much more delocalised than in superfluids.

Observation of Hopping and Blockade of Bosons in a Trapped Ion Spin Chain

“…This gives rise to nonlinear onsite interactions between spin-phonon excitations (polaritons). Such a system simulates the Jaynes-Cummings-Hubbard model, which describes an array of coupled cavities [7,8,[12][13][14].…”

One-step preparation of three-particle Greenberger–Horne–Zeilinger states in cavity quantum electrodynamics

“…In theory, high Qfactor cavities could potentially be coupled by means of an imperfectly reflecting mirror [50]. Considering there is a report about strongly interacting polaritons in coupled arrays of cavities in experiment [52], it's a more practical scheme than the ones realizing QIP in distant cavities coupled by an optical fiber. Scheme 2 needs fewer devices than scheme 1 to generate the GHZ state.…”

Fusing atomic W states via quantum Zeno dynamics

“…In a real experiment, the Λ configuration can be found in the cesium atoms which is trapped in a small optical cavity in the strong-coupling regime 54,55 can be used in this scheme. Furthermore, a set of cavity quantum electrodynamics parameters (λ, γ, κ)/2 = (750, 2.62, 3.5) MHz in strong-coupling regime [56][57][58] , we can achieve the fusion with a fidelity 99.8%. Also we can consider the other system, i.e., N-V centre with two unpaired electrons located at the vacancy and the corresponding experimental parameters g = 2π × 2.25 GHz, γ = 2π × 0.013 GHz and κ = 2π × 0.16 GHz, we can also achieve the fusion with a fidelity 99.5% when Ω = 0.001λ.…”