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Is negative lens, perfect focusing compatible with quantum mechanics?

P. R. Berman

Published Sep 26, 2003• 0 citations
OpenAlex

Abstract

In light of experiments in atom optics, the compatibilty of negative lens, perfect focusing with quantum mechanics is brought into question.

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In this work I transfer the concept of a perfect lens (superlens) for light to matter waves satisfying Schroedinger equation. I argue that in the focus of the perfect lens highly localized quantum states appear in principle on a single spot within the 2D plane orthogonal to the axis of the lens. Using the concept of the superlens implies that the limit of the quantum particle's spatial localization (in the plane) is set only by imperfections of the aperture rather than of theoretical nature.
Abstract A perfect lens constructed by dielectric and atomic gas slab system is investigated. By utilizing quantum coherence, the atomic gas shows simultaneous negative permittivity and permeability. Meanwhile, the loss can be neglected. The light emitted by one point source in the dielectric can be focused to another point in the other dielectric, which induces strong and long range dipole–dipole interaction. Consequently, large entanglement between two qubits can be generated. Meanwhile, due to the low loss of our model, the entanglement can be preserved for a long time.