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arXiv · 1311.3453

Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential

Dimitrii Tanese·Evgeni Gurevich·Florent Baboux·Thibaut Jacqmin·Aristide Lemaître·Elisabeth Galopin·Isabelle Sagnes·Alberto Amo·Jacqueline Bloch·Eric Akkermans
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Abstract

We report on the study of a polariton gas confined in a quasi-periodic one dimensional cavity, described by a Fibonacci sequence. Imaging the polariton modes both in real and reciprocal space, we observe features characteristic of their fractal energy spectrum such as the opening of mini-gaps obeying the gap labeling theorem and log-periodic oscillations of the integrated density of states. These observations are accurately reproduced solving an effective 1D Schrödinger equation, illustrating the potential of cavity polaritons as a quantum simulator in complex topological geometries.

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Dimitrii Tanese, Evgeni Gurevich, Florent Baboux, Thibaut Jacqmin, Aristide Lemaître, Elisabeth Galopin, Isabelle Sagnes, Alberto Amo, Jacqueline Bloch, Eric Akkermans. 2014-02-24. Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential. https://doi.org/10.1103/physrevlett.112.146404

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