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Related papers: Vorticity in analogue gravity

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Using the analogy between acoustic perturbations in an ideal fluid and the description of a Klein-Gordon scalar field in a curved spacetime, we study the quasinormal modes of a quantum system: the rotating Bose-Einstein condensate. To…

General Relativity and Quantum Cosmology · Physics 2018-07-23 Leandro A. Oliveira , Luis J. Garay , Luís C. B. Crispino

The so-called ``analogue models of general relativity'' provide a number of specific physical systems, well outside the traditional realm of general relativity, that nevertheless are well-described by the differential geometry of curved…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Carlos Barcelo , Stefano Liberati , Sebastiano Sonego , Matt Visser

An hydrodynamic description of a one-dimensional flow of an ideal Fermi fluid is constructed from a semiclassical approximation. For an initially fully degenerate fluid, Euler and continuity hydrodynamic equations are dual to two uncoupled…

Other Condensed Matter · Physics 2010-10-15 Stefano Giovanazzi

We investigate the properties of the condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system with a Rabi transition between atomic hyperfine states. We use this system to examine the effect of…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Wei-Can Syu , Da-Shin Lee , Chi-Yong Lin

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…

Quantum Gases · Physics 2010-12-23 Oren Lahav , Amir Itah , Alex Blumkin , Carmit Gordon , Shahar Rinott , Alona Zayats , Jeff Steinhauer

Emergent spacetime analogs in condensed matter systems have opened a fascinating window into simulating aspects of gravitational physics in controlled laboratory environments. In this work, we develop a comprehensive nonlinear analog…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Surajit Das , Surojit Dalui , Hrishit Banerjee , Arpan Krishna Mitra

We make use of an analog gravity perspective to obtain a physical understanding of hydrodynamic instabilities stemming from the presence of quantized vortices in two-component atomic condensates and of their relation to ergoregion…

Quantum Gases · Physics 2025-11-17 Anna Berti , Luca Giacomelli , Iacopo Carusotto

Motion of an ultra-relativistic perfect fluid in space-time with the Kasner metrics is investigated by the Hamiltonian method. It is found that in the limit of small times a tendency takes place to formation of strong inhomogeneities in…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. P. Ruban , D. I. Podolsky

We extend the effective theory approach to the ideal fluid limit where the polarization of the fluid is non-zero. After describing and motivating the equations of motion, we expand them around the hydrostatic limit, obtaining the sound wave…

High Energy Physics - Theory · Physics 2017-11-01 David Montenegro , Leonardo Tinti , Giorgio Torrieri

In this work we present an alternative derivation of the general relativistic acoustic analogue geometry by perturbing the mass accretion rate or flux of an ideal fluid flowing radially in a general static and spherically symmetric…

High Energy Astrophysical Phenomena · Physics 2015-08-11 Deepika B. Ananda , Sourav Bhattacharya , Tapas K. Das

For flows of a lossless gas, the stagnation enthalpy obeys a linear convected wave equation with coefficients which depend on the flow variables. This equation is self-adjoint and one has a reciprocity relation between source and observer.…

Fluid Dynamics · Physics 2010-09-21 Willi Mohring

We consider the transverse force on a moving vortex with the acoustic metric using the $\phi $-mapping topological current theory. In the frame of effective spacetime geometry the vortex appear naturally by virtue of the vortex tensor in…

High Energy Physics - Theory · Physics 2009-11-11 Peng-ming Zhang , Li-ming Cao , Yi-shi Duan , Cheng-kui Zhong

We derive a general and exact equation of motion for a quantised vortex in an inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the velocity of a vortex as a sum of local ambient density and phase gradients in…

Quantum Gases · Physics 2018-03-06 Andrew J. Groszek , David M. Paganin , Kristian Helmerson , Tapio P. Simula

We study the interaction and dynamics of two half-quantized vortices in two-component Bose- Einstein condensates. Using the Pade approximation for the vortex core profile, we calculate the intervortex potential, whose asymptotic form for a…

Quantum Gases · Physics 2016-01-26 Kenichi Kasamatsu , Minoru Eto , Muneto Nitta

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-07-29 Luca Giacomelli , Iacopo Carusotto

Einstein-aether theory is extended by allowing for spinning degrees of freedom of the aether. In addition to the acceleration, shear, expansion, and vorticity of the aether velocity field, a spin rotation describing the dynamics of a…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Christopher Kohler

In a multi-field/fluid cosmological system consisting of a number of minimally coupled canonical scalar fields, non-canonical scalar fields and barotropic perfect fluids, we introduce a new definition of effective speed of sound of the…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Sanil Unnikrishnan

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

Atomtronic quantum sensors based on trapped superfluids offer a promising platform for high-precision inertial measurements where the dynamics of quantized vortices can serve as sensitive probes of external forces. We analytically…

Quantum Gases · Physics 2026-05-12 A. Chaika , A. O. Oliinyk , I. V. Yatsuta , M. Edwards , N. P. Proukakis , T. Bland , A. I. Yakimenko
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