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Realization of a sonic black hole analogue in a Bose-Einstein condensate (0906.1337v2)

Published 7 Jun 2009 in cond-mat.quant-gas and gr-qc

Abstract: We have created an analogue of a black hole in a Bose-Einstein condensate. In this sonic black hole, sound waves, rather than light waves, cannot escape the event horizon. A step-like potential accelerates the flow of the condensate to velocities which cross and exceed the speed of sound by an order of magnitude. The Landau critical velocity is therefore surpassed. The point where the flow velocity equals the speed of sound is the sonic event horizon. The effective gravity is determined from the profiles of the velocity and speed of sound. A simulation finds negative energy excitations, by means of Bragg spectroscopy.

Citations (257)

Summary

  • The paper details the experimental creation of a sonic black hole analogue in a Bose-Einstein condensate (BEC) by accelerating condensate flow to supersonic speeds using a step potential.
  • Authors successfully established a sonic event horizon where sound waves are trapped, validating their experimental setup through comparison with Gross-Pitaevskii simulations.
  • This work highlights the potential of BECs as laboratory simulators for astrophysical phenomena, particularly enabling the study of analogue Hawking radiation and quantum field theories in curved spacetime.

Sonic Black Hole Analogue in a Bose-Einstein Condensate

The paper by Lahav et al. presents a nuanced exploration into the construction and analysis of a sonic black hole analogue within a Bose-Einstein condensate (BEC). Unlike traditional black holes, where light cannot escape the event horizon, this work focuses on sound waves being trapped due to the unique dynamics of the BEC flow reaching supersonic speeds. The authors successfully created conditions where the flow velocity of the BEC surpasses the speed of sound, marked as the sonic event horizon, thus offering an experimental platform to paper quantum fluid analogues of black holes.

The foundation of their paper rests on surpassing the Landau critical velocity—a challenging aspect given the supersonic flow required for realizing a sonic black hole. The authors adeptly manage this by employing a step-like potential that accelerates the condensate flow to supersonic speeds when crossing a potential barrier. This experimental setup facilitates a region of supersonic flow demarcated from the subsonic region, establishing a controllable analogue of a black hole's event horizon.

The formulation of this sonic black hole involves intricate details regarding the manipulation of a BEC composed of rubidium atoms, initially trapped in a harmonic magnetic potential. The experimental strategy hinges on altering the potential configuration by translating the harmonic trap relative to a stationary, laser-induced step potential, thereby achieving the desired supersonic flow.

A significant portion of the research is dedicated to precise calibrations and measurements. The paper utilizes absorption imaging to monitor changes in condensate density, subsequently yielding data on flow velocities. Comparative analysis with a three-dimensional Gross-Pitaevskii simulation further substantiates their experimental findings, supporting the coherence between observed and simulated velocity fields and sound speed profiles.

The paper explores the implications of the sonic black hole regarding Hawking radiation, identified through negative energy excitations within the condensate. Using Bragg spectroscopy techniques, the paper posits that such excitations can indeed be trapped in the BEC analogue. The authors simulate these conditions, demonstrating the possibility of observing analogue Hawking radiation characterized by its thermal spectrum.

In addressing the practical and theoretical implications, Lahav et al. expand the potential utility of BECs as simulators for astrophysical phenomena that are otherwise technologically infeasible to observe directly in traditional black holes. The broader implications revolve around the exploration of quantum gravitational effects within a controlled laboratory setting, opening avenues for extensive studies on Hawking radiation in analogue systems.

Future research directions could explore optimizing the conditions for observable Hawking radiation, potentially by manipulating the density and flow velocity gradients or by utilizing advanced correlation techniques. The work could spearhead novel insights into quantum field theories in curved spacetime, thus bridging gaps between classical general relativity and quantum mechanics through experimental simulations.

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