Artificial magnetic field for synthetic quantum matter without dynamical modulation

TL;DR

This paper introduces a static method to generate artificial magnetic fields in synthetic quantum systems without time modulation, enabling observation of magnetic phenomena like chiral edge states and quantized Hall response.

Contribution

The authors propose a novel all-static approach using shifted harmonic traps to create artificial magnetic fields in hybrid real-momentum space, applicable to various quantum platforms.

Findings

Realization of artificial magnetic fields in hybrid space.

Observation of chiral edge states and quantized Hall response.

Detection of vortex-induced supersolid states in bosonic systems.

Abstract

We propose an all-static method to realize an artificial magnetic field for charge neutral particles without introducing any time modulation. Our proposal consists of one-dimensional tubes subject to harmonic trapping potentials with shifted centers. We show that this setup realizes an artificial magnetic field in a hybrid real-momentum space. We discuss how characteristic features of particles in a magnetic field, such as chiral edge states and the quantized Hall response, can be observed in this setup. We find that the mean-field ground state of bosons in this setup in the presence of long-range interactions in physical real space can have quantized vortices in the hybrid real-momentum space; such a state with vortices exhibits a supersolid structure in the physical real space. Our method can be applied to a variety of synthetic quantum matter, including ultracold atomic gases, coupled photonic cavities, coupled waveguides, and exciton-polariton lattices.