Abstract
The realization of strong coherent interactions between individual photons is a long-standing goal in science and engineering. In this report, based on recent experimental setups, we derive a strong photon long-range repulsive interaction, by controlling the van der Waals repulsive force between Cesium Rydberg atoms located inside different cavities in extended Jaynes-Cummings-Hubbard lattices. We also find novel quantum phases induced by this photon long-range repulsive interaction. For example, without photon hopping, a photon Devil’s staircase, induced by the breaking of long-range translation symmetry, can emerge. If photon hopping occurs, we predict a photon-floating solid phase, due to the motion of particle- and hole-like defects. More importantly, for a large chemical potential in the resonant case, the photon hopping can be frozen even if the hopping term exists. We call this new phase the photon-frozen solid phase. In experiments, these predicted phases could be detected by measuring the number of polaritons via resonance fluorescence.
Highlights
Rational states are separated by many states
The cavity decay rate is characterized by the parameter κ, which induces the photon hopping in the cavity array[35], and the distance between nearest-neighbor cavities is about xi+1 − xi ≈ 2.4 μm
Since the evanescent field strength is sufficiently weak at the radial distance of about b–4b away from the surface of the nanofiber[36,37], each adjacent nanofiber pairs located at such a distance will not lead to an efficient overlap of different cavity modes, which guarantees that the ith ensemble of Cs Rydberg atoms can interact only with the ith cavity[33,36]
Summary
Rational states are separated by many states. We predict a photon-floating solid phase, due to the motion of particle- and hole-like defects. For a large chemical potential in the resonant case, photon hopping can be frozen even if the hopping term exists. We denote this new phase the photon-frozen solid phase. In experiments, these predicted phases could be detected by measuring the number of polaritons via resonance fluorescence[29]
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