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Open Quantum Systems Decoherence

Tunneling approach and thermality in dispersive models of analogue gravity

arXiv
Authors: F. Belgiorno, S. L. Cacciatori, F. Dalla Piazza

Year

2014

Paper ID

46204

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We set up a tunneling approach to the analogue Hawking effect in the case of models of analogue gravity which are affected by dispersive effects. An effective Schroedinger-like equation for the basic scattering phenomenon IN->P+N*, where IN is the incident mode, P is the positive norm reflected mode, and N* is the negative norm one, signalling particle creation, is derived, aimed to an approximate description of the phenomenon. Horizons and barrier penetration play manifestly a key-role in giving rise to pair-creation. The non-dispersive limit is also correctly recovered. Drawbacks of the model are also pointed out and a possible solution ad hoc is suggested.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We set up a tunneling approach to the analogue Hawking effect in the case of models of analogue gravity which are affected by dispersive effects.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.7871 [2] arXiv https://arxiv.org/abs/1411.7871 [3] Publisher https://arxiv.org/abs/1411.7871

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