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Quantum simulation of Cooper pairing with photons

Ming-Xia Huo, Changsuk Noh, B. M. Rodríguez-Lara, Dimitris G. Angelakis

DOI 10.1103/PhysRevA.86.043840 · Physical Review A

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Abstract

We propose a scheme to observe the crossover from weakly to strongly bound pairs with stationary polaritons. We first show how stationary light-matter excitations (polaritons) can realize an optically tunable two-component Bose-Hubbard model with repulsive intraspecies interactions and attractive interspecies interactions. We then discuss the feasibility of generating an effective Fermi-Hubbard model of polaritons exhibiting the crossover behavior. The predicted behavior of the system characterized by a crossover from short- to long-range spatial correlations as interactions are tuned can be efficiently observed by measuring correlation functions on the light exiting the waveguide.

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