On relativistic particle creation in Bose-Einstein condensates
On relativistic particle creation in Bose-Einstein condensates
We show that particle creation of Bogoliubov modes in a Bose-Einstein
condensate due to the accelerated motion of the trap is a genuinely
relativistic effect. To this end we show that Bogoliubov modes can be
described by a time rescaling of the Minkowski metric. A consequence of
this is that Rindler transformations are perceived by the phonons as
generalised Rindler transformations where the speed of light is replaced
by the speed of sound, enhancing particle creation at small velocities.
Since the non-relativistic limit of a Rindler transformation is just a
Galilean transformation entailing no length contraction or time
dilation, we show that the effect vanishes in the non-relativistic
limit.
Quantum Physics, Condensed Matter - Quantum Gases, General Relativity and Quantum Cosmology
Sabín, Carlos
2579a1c2-57da-4a90-832a-0f1dbfd92bd6
Fuentes, Ivette
6281afeb-b1bc-44fc-824c-265b57be9794
1 May 2014
Sabín, Carlos
2579a1c2-57da-4a90-832a-0f1dbfd92bd6
Fuentes, Ivette
6281afeb-b1bc-44fc-824c-265b57be9794
Sabín, Carlos and Fuentes, Ivette
(2014)
On relativistic particle creation in Bose-Einstein condensates.
arXiv.
(doi:10.48550/arXiv.1405.5789).
Abstract
We show that particle creation of Bogoliubov modes in a Bose-Einstein
condensate due to the accelerated motion of the trap is a genuinely
relativistic effect. To this end we show that Bogoliubov modes can be
described by a time rescaling of the Minkowski metric. A consequence of
this is that Rindler transformations are perceived by the phonons as
generalised Rindler transformations where the speed of light is replaced
by the speed of sound, enhancing particle creation at small velocities.
Since the non-relativistic limit of a Rindler transformation is just a
Galilean transformation entailing no length contraction or time
dilation, we show that the effect vanishes in the non-relativistic
limit.
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Published date: 1 May 2014
Keywords:
Quantum Physics, Condensed Matter - Quantum Gases, General Relativity and Quantum Cosmology
Identifiers
Local EPrints ID: 480326
URI: http://eprints.soton.ac.uk/id/eprint/480326
ISSN: 2331-8422
PURE UUID: ae66ec86-780b-465e-9f9f-223c8b9fece1
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Date deposited: 01 Aug 2023 17:22
Last modified: 17 Mar 2024 03:54
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Contributors
Author:
Carlos Sabín
Author:
Ivette Fuentes
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