Fermionization via cavity-assisted infinite-range interactions

TL;DR

This paper demonstrates that cavity-mediated infinite-range interactions can induce fermionization in a one-dimensional bosonic system, making bosons behave like fermions under certain experimental conditions, with potential implications for quantum simulation.

Contribution

It introduces a novel mechanism for fermionization via cavity-assisted infinite-range interactions, expanding the understanding of boson-fermion equivalence in quantum many-body systems.

Findings

Bosons and fermions exhibit identical observables at high pump power.

Cavity interactions reduce the need for strong contact interactions to achieve fermionization.

The study maps the transition from bosonic to fermionic behavior as a function of pump power and contact interactions.

Abstract

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 a new pathway to fermionization, 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 large enough laser pump power, many observables, including density distributions in real and momentum space, correlation functions, eigenvalues of the one-body density matrix, and superradiance order parameter, become identical for bosons and fermions. We map out the emergence of this cavity-induced fermionization 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 fermionization.