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Microscopic theory of polariton-polariton interactions

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arxiv 2212.02597 v3 pith:LTHYRFDO submitted 2022-12-05 cond-mat.mes-hall cond-mat.quant-gas

Microscopic theory of polariton-polariton interactions

classification cond-mat.mes-hall cond-mat.quant-gas
keywords theorydipolarinteractioninteractionspolaritonpolaritonsstrengthstrong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a comprehensive theoretical model for the interaction strength between a pair of exciton-polaritons in microcavity devices. Ab initio numerical calculations for dipolar polaritons in one dimension are used as a starting point to build a Born-Oppenheimer theory that generally applies to generic -- dipolar or non-dipolar polaritons -- in both one and two dimensions. This theory anticipates that the strong coupling to the cavity mode leads to a drastic enhancement of the polariton interactions as compared to bare excitons, and predicts unexpected scaling laws in the interaction strength as a function of system parameters. Comparisons with available experimental data are drawn, and specific suggestions to validate it with new experiments are made. Promising strategies towards the observation of a strong polariton blockade regime are finally sketched.

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