Bohmian mechanics of the three-slit experiment in the linear potential

Rozenman, Georgi Gary; Bondar, Denys I.; Schleich, Wolfgang P.; Shemer, Lev; Arie, Ady

doi:10.1140/epjs/s11734-023-01044-8

Cited by 3 publications

(1 citation statement)

References 35 publications

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“…It is worth underlining that the topics covered in this section have, over recent years, been the subject of considerable theoretical and experimental research. In particular, classical hydrodynamical analogs of ( 24) have been studied experimentally, measuring the equivalents of the Bohmian trajectories and the quantum potential [36,37]. Similar objectives have been achieved in the field of both classical and quantum optics, through experimental studies on both single photon systems [38] and systems with multiple entangled photons [39].…”

Section: Discussionmentioning

confidence: 99%

Wave Function and Information

Chiatti

2024

Quantum Reports

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Two distinct measures of information, connected respectively to the amplitude and phase of the wave function of a particle, are proposed. There are relations between the time derivatives of these two measures and their gradients on the configuration space, which are equivalent to the wave equation. The information related to the amplitude measures the strength of the potential coupling of the particle (which is itself aspatial) with each volume of its configuration space, i.e., its tendency to participate in an interaction localized in a region of ordinary physical space corresponding to that volume. The information connected to the phase is that required to obtain the time evolution of the particle as a persistent entity starting from a random succession of bits. It can be considered as the information provided by conservation principles. The meaning of the so-called “quantum potential” in this context is briefly discussed.

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Section: Discussionmentioning

confidence: 99%

Wave Function and Information

Chiatti

2024

Quantum Reports

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Observation of a phase space horizon with surface gravity water waves

Rozenman,

Ullinger,

Zimmermann

et al. 2024

Commun Phys

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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.

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