Quantum metamaterial

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Quantum mechanics
${\displaystyle i\hbar {\frac {d}{dt}}|\Psi \rangle ={\hat {H}}|\Psi \rangle }$ Schrödinger equation
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Quantum metamaterials apply the science of metamaterials and the rules of quantum mechanics to control electromagnetic radiation. In the broad sense, a quantum metamaterial is a metamaterial in which certain quantum properties of the medium must be taken into account and whose behaviour is thus described by both Maxwell's equations and the Schrödinger equation. Its behaviour reflects the existence of both EM waves and matter waves. The constituents can be at nanoscopic or microscopic scales, depending on the frequency range (e.g., optical or microwave).^{[1] [2] [3][4][5]}

In a more strict approach, a quantum metamaterial should demonstrate coherent quantum dynamics. Such a system is essentially a spatially extended controllable quantum object that allows additional ways of controlling the propagation of electromagnetic waves.^{[2][3][4][5][6]}

Quantum metamaterials can be narrowly defined as optical media that:^[7]

• Are composed of quantum coherent unit elements with engineered parameters;
• Exhibit controllable quantum states of these elements;
• Maintain quantum coherence for longer than the traversal time of a relevant electromagnetic signal.^[7][8]