Abstract
The effect of boundary deformation on the classical entanglement which appears in the classical electromagnetic field is considered. A chaotic billiard geometry is used to explore the influence of the mechanical modification of the optical fiber cross-sectional geometry on the production of classical entanglement within the electromagnetic fields. For the experimental realization of our idea, we propose an optical fiber with a cross section that belongs to the family of Robnik chaotic billiards. Our results show that a modification of the fiber geometry from a regular to a chaotic regime can enhance the transverse mode classical entanglement.
Highlights
Recent research in quantum chaos has uncovered the relationship between chaos and entanglement both theoretically and experimentally [1,2,3,4]
We explore how the classical entanglement in an electromagnetic field can be intimately connected to the geometry of the domain boundary within which the fields are confined
We use the analogy between a quantum chaotic billiard in the non-relativistic quantum regime to the electromagnetic wave propagation in a chaotic optical fiber
Summary
Recent research in quantum chaos has uncovered the relationship between chaos and entanglement both theoretically and experimentally [1,2,3,4]. We explore how the classical entanglement in an electromagnetic field can be intimately connected to the geometry of the domain boundary within which the fields are confined In this context, we use the analogy between a quantum chaotic billiard in the non-relativistic quantum regime to the electromagnetic wave propagation in a chaotic optical fiber. We follow the approach based on the analogies between quantum physics and optics via the classical electromagnetic waves [21] It was Spreeuw who realized the existence of classical entanglement [22, 23]. We introduce the idea of exploiting an optical fiber with a core cross-section that has the geometry of a chaotic billiard to create highly classically entangled light beams. By analyzing the propagation of a classical electromagnetic wave in these fibers, we can explore the geometric dependence of the classical entanglement in terms of the lowest-order eigenmodes, as well as using coherent and squeezed coherent states as the initial wavepackets
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