TY - JOUR
T1 - Observation of a phase space horizon with surface gravity water waves
AU - Rozenman, Georgi Gary
AU - Ullinger, Freyja
AU - Zimmermann, Matthias
AU - Efremov, Maxim A.
AU - Shemer, Lev
AU - Schleich, Wolfgang P.
AU - Arie, Ady
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/12
Y1 - 2024/12
N2 - In 1974, Stephen Hawking predicted that quantum effects in the proximity of a black hole lead to the emission of particles and black hole evaporation. At the very heart of this process lies a logarithmic phase singularity which leads to the Bose-Einstein statistics of Hawking radiation. An identical singularity appears in the elementary quantum system of the inverted harmonic oscillator. In this Letter we report the observation of the onset of this logarithmic phase singularity emerging at a horizon in phase space and giving rise to a Fermi-Dirac distribution. For this purpose, we utilize surface gravity water waves and freely propagate an appropriately tailored energy wave function of the inverted harmonic oscillator to reveal the phase space horizon and the intrinsic singularities. Due to the presence of an amplitude singularity in this system, the analogous quantities display a Fermi-Dirac rather than a Bose-Einstein distribution.
AB - In 1974, Stephen Hawking predicted that quantum effects in the proximity of a black hole lead to the emission of particles and black hole evaporation. At the very heart of this process lies a logarithmic phase singularity which leads to the Bose-Einstein statistics of Hawking radiation. An identical singularity appears in the elementary quantum system of the inverted harmonic oscillator. In this Letter we report the observation of the onset of this logarithmic phase singularity emerging at a horizon in phase space and giving rise to a Fermi-Dirac distribution. For this purpose, we utilize surface gravity water waves and freely propagate an appropriately tailored energy wave function of the inverted harmonic oscillator to reveal the phase space horizon and the intrinsic singularities. Due to the presence of an amplitude singularity in this system, the analogous quantities display a Fermi-Dirac rather than a Bose-Einstein distribution.
UR - http://www.scopus.com/inward/record.url?scp=85194082357&partnerID=8YFLogxK
U2 - 10.1038/s42005-024-01616-7
DO - 10.1038/s42005-024-01616-7
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AN - SCOPUS:85194082357
SN - 2399-3650
VL - 7
JO - Communications Physics
JF - Communications Physics
IS - 1
M1 - 165
ER -