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We study the dynamics of a Bose-Einstein condensate in a one-dimensional optical lattice in the limit of weak atom-atom interactions, including an approximate model for quantum fluctuations. A pulsating dynamical instability in which atoms…

Other Condensed Matter · Physics 2009-04-17 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

The current article explores the problem of a Bose-Einstein condensate (BEC) trapped in an anisotropic three-dimensional harmonic-oscillator potential, with positive effective interatomic interactions, and the analogue gravity acoustic…

General Relativity and Quantum Cosmology · Physics 2019-04-05 B. González-Fernández , A. Camacho

Static, dynamic, and topological properties of hollow systems differ from those that are fully filled as a result of the presence of a boundary associated with an inner surface. Hollow Bose-Einstein condensates (BECs) naturally occur in…

Quantum Gases · Physics 2018-07-18 Kuei Sun , Karmela Padavić , Frances Yang , Smitha Vishveshwara , Courtney Lannert

Under suitable experimental conditions collective spin-wave excitations, magnons, form a Bose-Einstein condensate (BEC) where the spins precess with a globally coherent phase. Bose-Einstein condensation of magnons has been reported in a few…

Quantum Gases · Physics 2024-08-20 Jere T. Mäkinen , Samuli Autti , Vladimir B. Eltsov

We take into account two further physical models which play an utmost importance in the framework of Analogue Gravity. We first consider Bose--Einstein condensates (BEC) and then surface gravity waves in water. Our approach is based on the…

General Relativity and Quantum Cosmology · Physics 2020-11-25 F. Belgiorno , S. L. Cacciatori , A. Farahat , A. Viganò

We consider a solution of the effective four-dimensional Einstein equations, obtained from the general relativistic Schwarzschild metric through the principle of Minimal Geometric Deformation (MGD). Since the brane tension can, in general,…

High Energy Physics - Theory · Physics 2016-11-11 Roberto Casadio , Roldao da Rocha

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

We point out that recent Verlinde's proposal of emergent gravity suffers from some internal inconsistencies. The main idea in this proposal is to preserve general relativity at short scales where numerous tests verified its validity, but…

General Relativity and Quantum Cosmology · Physics 2017-12-11 De-Chang Dai , Dejan Stojkovic

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel…

Statistical Mechanics · Physics 2024-01-12 Alvise Bastianello

Astrophysical tests of Planck-suppressed Lorentz violations had been extensively studied in recent years and very stringent constraints have been obtained within the framework of effective field theory. There are however still some…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Silke Weinfurtner , Stefano Liberati , Matt Visser

We analytically and numerically study the ground state and collective dynamics of Bose-Einstein condensates in two traps: a Newtonian potential and a logarithmic potential inspired by Modified Newtonian Dynamics (MOND). In the ground state,…

Quantum Gases · Physics 2026-01-06 Ning Liu

A heuristic entropic-gravity derivation has previously been given of the gravitational two-body force of modified Newtonian dynamics (MOND). Here, it is shown that also another characteristic of MOND can be recovered, namely, the external…

General Relativity and Quantum Cosmology · Physics 2012-04-05 F. R. Klinkhamer

The Bose-Einstein condensation (BEC) of magnons created by a strong pumping in ferromagnetic thin films of yttrium iron garnet used as systems of finite size is considered analytically. Such a peculiarity, typical for this magnetic…

Quantum Gases · Physics 2014-01-21 A. I. Bugrij , V. M. Loktev

The special relativistic hydrodynamics with weak gravity is hitherto unknown in the literature. Whether such an asymmetric combination is possible was unclear. Here, the hydrodynamic equations with Poisson-type gravity considering fully…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Jai-chan Hwang , Hyerim Noh

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

Bose-Einstein condensation (BEC) of magnons is one of few macroscopic quantum phenomena observable at room temperature. Due to competition of the exchange and the magnetic dipole interactions the minimum-energy magnon state is doubly…

Quantum Gases · Physics 2020-03-30 I. V. Borisenko , V. E. Demidov , V. L. Pokrovsky , S. O. Demokritov

One of the most striking quantum effects in a low temperature interacting Bose gas is superfluidity. First observed in liquid 4He, this phenomenon has been intensively studied in a variety of systems for its amazing features such as the…

Other Condensed Matter · Physics 2009-06-16 K. G. Lagoudakis , M. Wouters , M. Richard , A. Baas , I. Carusotto , R. Andre , Le Si Dang , B. Deveaud-Pledran

Certain off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $ f(R,T,R_{\mu\nu}T^{\mu\nu})$ type. We prove this statement by constructing exact and approximate…

Mathematical Physics · Physics 2015-06-30 Emilio Elizalde , Sergiu I. Vacaru

Solving the Gross--Pitaevskii (GP) equation describing a Bose--Einstein condensate (BEC) immersed in an optical lattice potential can be a numerically demanding task. We present a variational technique for providing fast, accurate solutions…

The Fermi-point scenario of emergent gravity has the following consequences: gravity emerges together with fermionic and bosonic matter; emergent fermionic matter consists of massless Weyl fermions; emergent bosonic matter consists of gauge…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. E. Volovik