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We account for the interaction of the Bose-condensed fraction with the normal phase in an effective dynamical equation such as the Gross-Pitaevskii equation. We show that the low-energy excitations can be treated as sound waves with speed…

Statistical Mechanics · Physics 2007-05-23 K. N. Ilinski , A. S. Stepanenko

Ultra-cold atomic gases provide new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the…

Quantum Gases · Physics 2017-06-28 Xuguang Yue , Shujuan Liu , Biao Wu , Hongwei Xiong

Using the nonlinear Schroedinger equation (Gross-Pitaevskii equation), the dynamics of a macroscopic wave packet for Bose-Einstein condensates falling through double slits is analyzed. This problem is identified with a search for the fate…

Other Condensed Matter · Physics 2009-11-11 Katsuhiro Nakamura , Naofumi Nakazono , Taro Ando

We investigate a Bose-Einstein condensate (BEC) as a gravitational wave detector, and study its sensitivity by optimizing the properties of the condensate and the measurement duration. We show that detecting kilohertz gravitational waves is…

Quantum Physics · Physics 2019-07-31 Matthew P. G. Robbins , Niayesh Afshordi , Robert B. Mann

We investigate the effects of vortex interaction on the formation of interference patterns in a coherent pair of two-dimensional Bose condensed clouds of ultra-cold atoms traveling in opposite directions subject to a harmonic trapping…

Quantum Gases · Physics 2014-12-15 Tao Yang , Andrew J. Henning , Keith A. Benedict

We investigate the effects of ellipticity-induced curvature on atomic Bose-Einstein condensates confined in quasi-one-dimensional closed-loop waveguides. Our theoretical study reveals intriguing phenomena arising from the interplay between…

Quantum Gases · Physics 2023-10-24 Yelyzaveta Nikolaieva , Luca Salasnich , Alexander Yakimenko

In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve the complex Gross-Pitaevskii equation is developed. Using…

Quantum Gases · Physics 2015-05-12 Bikash Padhi , Romain Duboscq , Ankita Niranjan , Ravi K. Soni

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

The coupled dynamics of the atom and photon fields in optical ring cavities with two counter-propagating modes give rise to both spin-orbit interactions as well as long-ranged interactions between atoms of a many-body system. At zero…

Quantum Gases · Physics 2015-08-19 Farokh Mivehvar , David L. Feder

In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle…

Mathematical Physics · Physics 2018-01-04 Jens Bolte , Joachim Kerner

We investigate the role of the interparticle-interaction strength in the distribution of two species of atoms inside a condensate. We focus upon the study of systems for which the minima of the trapping potentials for the species are…

Soft Condensed Matter · Physics 2009-11-07 D. M. Jezek , P. Capuzzi

We consider a trapped atomic Bose--Einstein condensate penetrated by a repulsive Gaussian potential and theoretically investigate the dynamics induced by oscillating the Gaussian potential. Our study is based on the numerical calculation of…

Quantum Gases · Physics 2015-05-27 Kazuya Fujimoto , Makoto Tsubota

We demonstrate that the nonlinear mean-field shift in a multi-component Bose-Einstein condensate may be eliminated by controlling the two-body interaction coefficients. This modification is achieved by, e.g., suitably engineering the…

Condensed Matter · Physics 2009-10-31 E. V. Goldstein , M. G. Moore , H. Pu , P. Meystre

We study the scissors modes of a harmonically trapped Bose-Einstein condensate under the influence of a synthetic magnetic field, which induces rigid rotational components in the velocity field. Our investigation reveals that the scissors…

Quantum Gases · Physics 2023-09-07 Chunlei Qu , Chuan-Hsun Li , Yong P. Chen , Sandro Stringari

The kinetics of nonequilibrium Bose-Einstein condensates are considered within the framework of the Gross-Pitaevskii equation. A systematic derivation is given for weak small-scale perturbations of a steady confined condensate state. This…

Mathematical Physics · Physics 2020-06-10 Yuri Lvov Sergey Nazarenko Robert West

We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or spin hyperfine states coupled by a two-photon transition via an intermediate level. Due to the macroscopic…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

Due to their remarkable properties, systems that exhibit self-organization of their components resulting from intrinsic microscopic activity have been extensively studied in the last two decades. In a generic class of active matter, the…

Statistical Mechanics · Physics 2019-07-24 Ramin Golestanian

At the heart of a Bose-Einstein condensate lies its description as a single giant matter wave. Such a Bose-Einstein condensate represents the most "classical" form of a matter wave, just as an optical laser emits the most classical form of…

Soft Condensed Matter · Physics 2009-11-07 Markus Greiner , Olaf Mandel , Theodor W. Haensch , Immanuel Bloch

This paper employs a Bose-Einstein condensates to simulate the dynamical response of bound electrons in a strongly oscillating pulsed laser field. We investigate the excitation dynamics of Bose-Einstein condensates with repulsive…

Quantum Gases · Physics 2026-02-09 Ziheng Ma , Jia Li , Rui Jin , Yajiang Hao

Quantum systems in Fock states do not have a phase. When two or more Bose-Einstein condensates are sent into interferometers, they nevertheless acquire a relative phase under the effect of quantum measurements. The usual explanation relies…

Quantum Physics · Physics 2009-05-19 William W. J. Mullin , Franck Laloë