Emulation of Schrödinger dynamics with metamaterials

Area of Science:

• Physics
• Materials Science
• Wave Engineering

Background:

• Metamaterials with artificial sub-wavelength structures allow precise control over classical wave propagation.
• Topology and symmetry studies offer new ways to manipulate waves and understand fundamental physics.
• Emulating quantum phenomena, like Schrödinger dynamics, in classical systems is a growing research area.

Purpose of the Study:

• To systematically review recent advancements in classical wave physics using a Schrödinger equation approach.
• To consolidate research on metamaterials designed to emulate Schrödinger dynamics.
• To provide a comprehensive summary of this rapidly developing field.

Main Methods:

• Overview of quantum and classical wave descriptions.
• Elucidation of various models realized in experimental platforms (photonic/phononic waveguides, acoustic cavities, optomechanics).
• Analysis of metamaterial structures supporting topological propagation modes.

Main Results:

• Identification of metamaterial structures supporting topological propagation modes analogous to the Schrödinger equation.
• Demonstration of robust wave manipulation and exploration of quantum phenomena using classical systems.
• Realization of Schrödinger dynamics emulation across diverse experimental platforms.

Conclusions:

• Metamaterials offer a powerful platform for emulating quantum dynamics and exploring quantum phenomena beyond electronic systems.
• This approach enables robust wave manipulation for applications in imaging, sensing, communication, and energy harvesting.
• Significant potential exists for groundbreaking developments in classical wave physics and quantum simulations.