Artificial magnetic field for synthetic quantum matter without dynamical modulation

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.

10 pages, 6 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Quantum fluids of light
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• Cold atoms in cavity-generated dynamical optical potentials
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
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Cited by in corpus (3)

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• Artificial gauge fields in the t-z mapping for optical pulses: spatio-temporal wavepacket control and quantum Hall physics