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We show that quantum dynamics of Bose-Einstein condensates in the weakly interacting regime can be geometrized by a Poincar\'e disk. Each point on such a disk represents a thermofield double state, the overlap between which equals the…

Quantum Gases · Physics 2021-01-04 Changyuan Lyu , Chenwei Lv , Qi Zhou

Bose-Einstein condensation in the presence of a synthetic spin-momentum interaction is considered, focusing on the case where a Dirac or Rashba potential is generated via a tripod scheme. We found that the ground states can be either plane…

Quantum Gases · Physics 2015-05-19 S. -K. Yip

The dynamics of a phase-separated two-component Bose-Einstein condensate are investigated, in which a bubble of one component moves through the other component. Numerical simulations of the Gross--Pitaevskii equation reveal a variety of…

Quantum Gases · Physics 2015-05-20 Kazuki Sasaki , Naoya Suzuki , Hiroki Saito

This Resource Letter provides a guide to the literature on Bose-Einstein condensation in trapped dilute gases. Journal articles and books are cited for the following topics: history, technological advances, condensates as quantum fluids,…

Condensed Matter · Physics 2009-11-10 David S. Hall

We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the…

Quantum Gases · Physics 2021-04-16 Moorad Alexanian , Vanik E. Mkrtchian

We consider a two-component Bose-Einstein condensate in a one-dimensional optical cavity. Specifically, the condensate atoms are taken to be in two degenerate modes due to their internal hyperfine spin degrees of freedom and they are…

Quantum Gases · Physics 2016-08-14 Shabnam Safaei , Özgur Esat Müstecaplıoğlu , Bilal Tanatar

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

Statistical Mechanics · Physics 2015-06-25 Juan Pablo Fernández , William J. Mullin

Bose-Einstein condensation of a relativistic ideal Bose gas in a rectangular cavity is studied. Finite size corrections to the critical temperature are obtained by the heat kernel method. Using zeta-function regularization of one-loop…

Quantum Physics · Physics 2009-10-31 K. Shiokawa , B. L. Hu

A two-mode Bose-Einstein condensate coupled by a high-frequency modulation field is found to display rich features. An effective stationary Hamiltonian approach reveals the emergence of additional degenerate eigenstates as well as new…

Quantum Physics · Physics 2009-11-13 Qi Zhang , Peter Hanggi , Jiangbin Gong

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

Quantum Physics · Physics 2009-11-07 Christoph Simon

Motivated by a recent experiment [L.Chomaz et al., Nature Physics 14, 442 (2018)], we perform numerical simulations of a dipolar Bose-Einstein Condensate (BEC) in a tubular confinement at T=0 within Density Functional Theory, where the…

Quantum Gases · Physics 2019-04-10 Santo Maria Roccuzzo , Francesco Ancilotto

We consider elementary excitations in a Bose Einstein condensate, carrying a finite amount of angular momentum. We show that these elementary excitations are modified Bogoliubov oscillations, or phonons with an helical wave structure. These…

Quantum Gases · Physics 2015-06-17 J. T. Mendonça , A. Gammal

We consider the possibility that the dark matter, which is required to explain the dynamics of the neutral hydrogen clouds at large distances from the galactic center, could be in the form of a Bose-Einstein condensate. To study the…

Astrophysics · Physics 2010-10-27 C. G. Boehmer , T. Harko

We report the formation of Bose-Einstein condensates into non-equilibrium states. Our condensates are much longer than equilibrium condensates with the same number of atoms, show strong phase fluctuations, and have a dynamical evolution…

We study theoretically a gas consisting of charged bosons (ions) over the flat dielectric surface at low temperatures and its tendency to form a state with a Bose-Einstein condensate. For the stability of a system, an additional external…

Quantum Gases · Physics 2021-09-22 I. V. Lukin , A. G. Sotnikov , Yu. V. Slyusarenko

A rotating, two-component Bose-Einstein condensate is shown to exhibit vortices of multiple quantization, which are possible due to the interatomic interactions between the two species. Also, persistent currents are absent in this system.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Christensson , S. Bargi , K. Karkkainen , Y. Yu , G. M. Kavoulakis , M. Manninen , S. M. Reimann

In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose-Einstein condensates in one- and two-dimensional settings. In particular, we illustrate the trapping conditions that allow the…

Other Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , D. J. Frantzeskakis

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

Standard arguments state that Bose Einstein condensation (BEC) cannot occur in dimensions lower than three in the thermodynamic limit as the expressions for the number of bosons in the excited states are unbounded. These arguments imply…

Atomic Physics · Physics 2019-07-18 Shirish M Chitanvis

We propose a method for generating shock waves in Bose-Einstein condensates by rapidly increasing the value of the nonlinear coefficient using Feshbach resonances. We show that in a cigar-shaped condensate there exist primary (transverse)…

Soft Condensed Matter · Physics 2009-11-10 Victor M. Perez-Garcia , Vladimir V. Konotop , Valeryi A. Brazhnyi