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www.st-andrews.ac.uk/~qinfo Title Fiber-optical analogue of the event horizon Experiment: Friedrich König Christopher Kuklewicz Stephen Hill www.st-andrews.ac.uk/~qinfo Theory: Ulf Leonhardt Thomas Philbin Scott Robertson

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Title

Fiber-optical analogue of the event horizon

Experiment:

Friedrich König

Christopher Kuklewicz

Stephen Hill

www.st-andrews.ac.uk/~qinfo

Theory:

Ulf Leonhardt

Thomas Philbin

Scott Robertson

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Contents

Frequency shifts at event horizons

Experimental observation of frequency shifts at event horizons

The analogue Hawking effect in fibers

Introduction

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Horizons in moving media

Illustration: Peter Hoey, Science 319, 1321 (2008)

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Hydraulic jump

Photo: Piotr Pieranski

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Time reversal

Illustration: Scientific American

W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981)

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Time reversal

White hole analogue Black hole analogue

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Hawking radiation: connections

• Analogue systems are key to the observation of Hawking-type radiation

• Optical analogues possible?

S. M. Hawking, Nature 248, 30 (1974)

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Horizons in moving media

P = z-u t

Probe light ‘sees’ a moving medium of index dn inside a medium of index n

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Horizons in moving media: trajectories

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Horizons in moving media: trajectories

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Choice of medium: optical fiber

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Fiber optical horizons: requirements

• Stable pulses -> solitons• Narrowband probe light at a frequency different from soliton• Highly nonlinear fiber

Pulse trapping:N. Nishizawa et al., Opt. Lett. 27, 152 (2002)A. Efimov et al., Phys. Rev. Lett., 95 ,213902, (2005)A. V. Gorbach et al., Nature Photonics 1, 653 (2007)

Optical Pushbroom:C. N. de Sterke, Opt. Lett. 17, 914 (1992)N. G. R. Broderick et al. Phys. Rev. Lett., 79, 4566 (1997)

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Fiber properties and group velocity

Fiber NLPM 750 B

Measurements by:A. Podlipensky and P. Russell, Erlangen, Germany (dotted line)Crystal Fiber A/S (red line)

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Artificial horizons: experimental apparatus

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Blue shifting at the white hole

Th. Philbin, Ch. Kuklewicz, S. Robertson, S. Hill, F. König, U. Leonhardt Science 319, 5868, pp. 1367 – 1370 (2008)

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Hawking radiation: outlook

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Hawking radiation: few-cycle pulses

Few-cycle pulses from modelocked lasers undergo self-steepening inside the fiber:

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Summary

Optical pulses in fibers form media moving at the speed of light.

At turning points analogue event horizons are formed that lead to frequency shifts.

This system is promising for the generation of the analogue of Hawking radiation.

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Thank you!

For more information:[email protected]

or go to www.st-andrews.ac.uk/~qinfoor google for black hole and fiber

FK