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Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays

Koke Christian, Noh Changsuk, Aggelakis Dimitrios

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/4451D1AD-79AC-4A2C-B3FB-701C889CEBD7
Έτος 2016
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Λεπτομέρειες
Βιβλιογραφική Αναφορά C. Koke, C. Noh and D. G. Angelakis, "Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays," Ann. Phys., vol. 374, pp. 162-178, Nov. 2016. doi: 10.1016/j.aop.2016.08.013 https://doi.org/10.1016/j.aop.2016.08.013
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Περίληψη

When quantum fields are coupled to gravitational fields, spontaneous particle creation may occur similarly to when they are coupled to external electromagnetic fields. A gravitational field can be incorporated as a background spacetime if the back-action of matter on the field can be neglected, resulting in modifications of the Dirac or Klein–Gordon equations for elementary fermions and bosons respectively. The semi-classical description predicts particle creation in many situations, including the expanding-universe scenario, near the event horizon of a black hole (the Hawking effect), and an accelerating observer in flat spacetime (the Unruh effect). In this work, we give a pedagogical introduction to the Dirac equation in a general 2D spacetime and show examples of spinor wave packet dynamics in flat and curved background spacetimes. In particular, we cover the phenomenon of particle creation in a time-dependent metric. Photonic analogs of these effects are then proposed, where classical light propagating in an array of coupled waveguides provides a visualisation of the Dirac spinor propagating in a curved 2D spacetime background. The extent to which such a single-particle description can be said to mimic particle creation is discussed.

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