Crystallization via cavity-assisted infinite-range interactions

We study a one-dimensional array of bosons with infinite-range interactions mediated by a laser-driven dissipative optical cavity. The cavity-mediated infinite-range interactions open up an alternative pathway to crystallization, hitherto only known for dipolar bosons due to their long-range interactions. In parameter ranges attainable in state-of-the-art experiments, we systematically compare observables for bosons and fermions with infinite-range interactions. At sufficiently large laser pump powers, many observables, including density distributions in real and momentum space, correlation functions, eigenvalues of the one-body density matrix, and superradiance order parameters, become identical for bosons and fermions. We map out the emergence of this cavity-induced crystallization as a function of pump power and contact interactions. We discover that cavity-mediated interactions can compensate a reduction by several orders of magnitude in the strength of the contact interactions needed to trigger crystallization.

Automated summary

This study investigates the infinite-range interactions in a one-dimensional boson array mediated by a laser-driven dissipative optical cavity. The results show that, at high laser pump powers, observables including density distributions, correlation functions, and superradiance order parameters become identical for both bosons and fermions. The study also reveals the compensation effect of cavity-mediated interactions on the reduction in the strength of contact interactions needed to trigger crystallization.