Topological transport of sound mediated by spin-redirection geometric phase

Abstract

When a dynamic system undergoes a cyclic evolution, a geometric phase that depends only on the path traversed in parameter space can arise in addition to the normal dynamical phase. These geometric phases have profound impacts in both quantum and classical physics. In addition to the geometric phase associated with band structures in reciprocal space that has led to the discovery of topological insulators, the spin-redirection geometric phase induced by the $SO$(3) rotation of states in real space can also give rise to intriguing phenomena such as the photonic analog of the spin Hall effect. By exploiting the orbital angular momentum of sound vortices, we theoretically and experimentally demonstrate the spin-redirection geometric phase effects in airborne sound, which is a scalar wave without spin. We show that these effects, associated with the helical transport of sound, can be used to control the flow of sound. This finding opens new possibilities for the manipulation of scalar wave propagation by exploiting spin-redirection geometric phases.

26 pages, 8 figures

References in corpus (5)

• Topological Photonics
• Spin-orbit interactions of light
• Topological Acoustics
• Geometrodynamics of Spinning Light
• Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect

Cited by in corpus (15)

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• Valley based splitting of topologically protected helical waves in elastic plates
• Transverse spin and surface waves in acoustic metamaterials
• Spin-orbit interactions of transverse sound
• Universal momentum-to-real-space mapping of topological singularities
• Elastic Spin and Orbital Angular Momenta
• Topological near fields generated by topological structures
• Gauge-field description of Sagnac frequency shift and mode hybridization in a rotating cavity
• Multifunctional acoustic holography based on compact acoustic geometric-phase meta-array
• Acoustic vortex beams in synthetic magnetic fields
• Acoustic circular dichroism in a three-dimensional chiral metamaterial
• Acoustic helical dichroism in a one-dimensional lattice of chiral resonators
• Symmetry-driven Phononic Metamaterials
• Geometric phase for twisted light
• Electric-Magnetic Geometric Phase