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Related papers: Analogue Aharonov-Bohm effect in a Lorentz-violati…

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Conical space emerges inevitably as an outer space of any topological defect of the vortex type. Quantum-mechanical scattering of a nonrelativistic particle by a vortex centred in conical space is considered, and effects of the transverse…

Quantum Physics · Physics 2014-11-20 Yu. A. Sitenko , N. D. Vlasii

In this paper we explore the effect of the generalized uncertainty principle and modified dispersion relation to compute Hawking radiation from a rotating acoustic black hole in the tunneling formalism by using the Wentzel-Kramers-Brillouin…

High Energy Physics - Theory · Physics 2019-11-12 M. A. Anacleto , F. A. Brito , C. V. Garcia , G. C. Luna , E. Passos

Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

The gauge invariance of the Aharonov-Bohm (AB) effect with a quantum treatment for the electromagnetic field is demonstrated. We provide an exact solution for the electromagnetic ground energy due to the interaction of the quantum…

Quantum Physics · Physics 2024-06-12 Pablo L. Saldanha

Magnetic Aharonov-Bohm effect (AB effect) was studied in hundreds of papers starting with the seminal paper of Aharonov and Bohm [AB] published in 1959. We give a new proof of the magnetic Aharonov-Bohm effect without using the scattering…

Mathematical Physics · Physics 2015-06-22 Gregory Eskin

Acoustic black holes are very interesting non-gravitational objects which can be described by the geometrical formalism of General Relativity. These models can be useful to experimentally test effects otherwise undetectable, as for example…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Fagnocchi

In this paper we consider the dynamics of a massive spinor field in the background of the acoustic black hole spacetime. Although this effective metric is acoustic and describes the propagation of sound waves, it can be considered as a toy…

High Energy Physics - Theory · Physics 2017-04-28 M. A. Anacleto , F. A. Brito , A. Mohammadi , E. Passos

We investigate the role of Lorentz violation in the acceleration radiation produced when an atom falls into a Kalb-Ramond (KR) black hole and observe that the amplitude and an exponential (Planck-like) factor are both shaped by the…

High Energy Physics - Theory · Physics 2025-06-03 Anisur Rahaman

Under certain conditions sound waves in fluids experience an acoustic horizon with analogue properties to those of a black hole event horizon. In particular, a draining bathtub-like model can give rise to a rotating acoustic horizon and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Carolina L. Benone , Luis C. B. Crispino , Carlos Herdeiro , Eugen Radu

Perturbations in a draining vortex can be described analytically in terms of confluent Heun functions. In the context of analogue models of gravity in ideal fluids, we investigate analytically the absorption length of waves in a draining…

General Relativity and Quantum Cosmology · Physics 2020-06-15 Leandro A. Oliveira , Carolina L. Benone , Amanda L. Almeida , Luís C. B. Crispino

We investigate the scattering of a charged quantum particle in a helically twisted background that induces an effective Coulomb-like interaction, in the presence of an Aharonov-Bohm (AB) flux. Starting from the nonrelativistic Schr\"odinger…

Quantum Physics · Physics 2026-02-06 Augusto Tadeu P. de Araújo , Edilberto O. Silva

In this paper, we propose a new Analogue Gravity example - a spinning (or Kerr) Black Hole in an extended fluid model. The fluid model receives Berry curvature contributions and applies to electron dynamics in Condensed Matter lattice…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Surojit Dalui , Arpan Krishna Mitra , Deeshani Mitra , Subir Ghosh

This work makes the first ever attempt to understand the influence of the black hole background space-time in determining the fundamental properties of the embedded relativistic acoustic geometry. To accomplish such task, the role of the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Hung-Yi Pu , Ishita Maiti , Tapas Kumar Das , Hsiang-Kuang Chang

Quasinormal modes are a set of damped resonances that describe how an excited open system is driven back to equilibrium. In gravitational physics these modes characterise the ringdown of a perturbed black hole, e.g. following a binary black…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Sam Patrick , Antonin Coutant , Mauricio Richartz , Silke Weinfurtner

We consider scattering atoms from a fully Bose-Einstein condensed gas. If we take these atoms to be identical to those in the Bose-Einstein condensate, this scattering process is to a large extent analogous to Andreev reflection from the…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , H. T. C. Stoof

The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by…

Quantum Physics · Physics 2023-03-17 Ismael L. Paiva , Pedro R. Dieguez , Renato M. Angelo , Eliahu Cohen

Scattering of a nonrelativistic quantum-mechanical particle by an impenetrable magnetic vortex is considered. The nonvanishing transverse size of the vortex is taken into account, and the limit of short, as compared to this size,…

Quantum Physics · Physics 2011-04-28 Yurii A. Sitenko , Nadiia D. Vlasii

In this work, we explore the intriguing phenomenon of acceleration radiation exhibited by an atom falling into a black hole, as previously studied in Phys. Rev. Lett. 121, 071301 (2018) . Our investigation focuses on examining the impact of…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Anisur Rahaman

The scattering of an incident plane wave on two Aharonov-Bohm vortices with opposite fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary conditions for the partial waves on a cut joining the two…

Exactly Solvable and Integrable Systems · Physics 2015-05-18 E Bogomolny , S Mashkevich , S Ouvry

Small deviations in the spacetime around black holes can lead to instabilities in the underlying quasinormal mode spectrum, potentially altering the hierarchy of its overtones. A practical way to induce such spectral instability is by…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Mateus Malato Corrêa , Caio F. B. Macedo , Rodrigo Panosso Macedo , Leandro A. Oliveira