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We study the ground state properties of the Bose-Hubbard model with attractive interactions on a M-site one-dimensional periodic -- necklace-like -- lattice, whose experimental realization in terms of ultracold atoms is promised by a…

Statistical Mechanics · Physics 2007-05-23 Pierfrancesco Buonsante , Vittorio Penna , Alessandro Vezzani

We theoretically investigate the ground-state properties and quantum dynamics of a pair of adjacent ring-shaped Bose-Einstein condensates that are coupled via tunneling. This device, which is the analogue of a symmetric superconducting…

Soft Condensed Matter · Physics 2009-11-07 B. P. Anderson , K. Dholakia , E. M. Wright

As a continuation of [14], we study new pattern formations of ground states $(u_1,u_2)$ for two-component Bose-Einstein condensates (BEC) with homogeneous trapping potentials in $R^2$, where the intraspecies interaction $(-a,-b)$ and the…

Analysis of PDEs · Mathematics 2019-04-16 Yujin Guo , Shuai Li , Juncheng Wei , Xiaoyu Zeng

On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and $\delta$-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic…

Strongly Correlated Electrons · Physics 2017-08-23 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying , Xu-An Zhao

We study the ground state and classify its phase diagram for a mixture of two spin-1 condensates in the absence of external magnetic (B-) field according to atomic parameters for intra- and inter-species spin exchange coupling and singlet…

Other Condensed Matter · Physics 2009-02-18 Z. F. Xu , Yunbo Zhang , L. You

The availability of Bose-Einstein condensates as mesoscopic or macroscopic quantum objects has aroused new interest in the possiblity of making and detecting coherent superpositions involving many atoms. In this article we show that it may…

Quantum Physics · Physics 2015-05-13 T. J. Haigh , A. J. Ferris , M. K. Olsen

On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur in a one-dimensional harmonic potential. We examine this situation by drawing analogies to Bosons in a two-dimensional…

Statistical Mechanics · Physics 2009-10-25 Gert-Ludwig Ingold , Astrid Lambrecht

We investigate the ground-state phases and spin-scissors dynamics of binary Bose-Einstein condensates confined in a twisted two-dimensional harmonic trap. The ground state hosts three distinct phases-phase-separated, polarized, and…

Quantum Gases · Physics 2025-09-16 Huaxin He , Fengtao Pang , Xianchao Zhang , Yongping Zhang , Chunlei Qu

An optical cavity enhances the interaction between atoms and light, and the rate of coherent atom-photon coupling can be made larger than all decoherence rates of the system. For single atoms, this strong coupling regime of cavity quantum…

Quantum Physics · Physics 2007-11-10 Yves Colombe , Tilo Steinmetz , Guilhem Dubois , Felix Linke , David Hunger , Jakob Reichel

The realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. This experimental achievement necessitated both extremely low temperatures and sufficiently…

Quantum Gases · Physics 2021-02-22 Mihály Máté , Örs Legeza , Rolf Schilling , Mason Yousif , Christian Schilling

We use a two-channel model to investigate an interacting Bose gas across a narrow Feshbach resonance within a field path integral approach. The ground state properties show strong deviation from that of a broad Feshbach resonance or a…

Quantum Gases · Physics 2023-01-19 Fan Yang , Ran Qi

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer

We discuss the quantum phases and their diffusion in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phase fluctuations corresponding to the total atom number…

Condensed Matter · Physics 2009-11-10 S. Yi , Ö. E. Müstecaplıoğlu , L. You

We consider two models of interacting Bose gases: a gas of spin one particles in the ground state of a cubic box and a one-dimension Bose gas with contact interactions. We show how to calculate exact eigenstates of the corresponding N-body…

Soft Condensed Matter · Physics 2007-05-23 Yvan Castin , Christopher Herzog

We demonstrate that the three-dimensional Skyrmion, which has remained elusive so far, spontaneously appears as the ground state of $SU$(2) symmetric Bose-Einstein condensates coupled with a non-Abelian gauge field. The gauge field is a…

Quantum Gases · Physics 2012-07-13 Takuto Kawakami , Takeshi Mizushima , Muneto Nitta , Kazushige Machida

Bose-Einstein condensation, the macroscopic ground state accumulation of particles with integer spin (bosons) at low temperature and high density, has been observed in several physical systems, including cold atomic gases and solid state…

Quantum Gases · Physics 2010-11-30 Jan Klaers , Julian Schmitt , Frank Vewinger , Martin Weitz

The aim of this work is to investigate how energy depends on the two-body interaction potential in Bose-Einstein condensation (BEC) phenomena. An equation of state is obtained which is valid both for low and high energy BEC, through the…

Other Condensed Matter · Physics 2009-03-28 Vito Barbarani

We investigate two solvable models for Bose-Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of…

Quantum Gases · Physics 2012-04-27 D. Rubeni , A. Foerster , E. Mattei , I. Roditi

It has recently been shown that light can be stored in Bose-Einstein condensates for over a second. Here we propose a method for realizing a controlled phase gate between two stored photons. The photons are both stored in the ground state…

Quantum Physics · Physics 2015-05-20 Arnaud Rispe , Bing He , Christoph Simon

The ground state of solid $^4$He is studied using the diffusion Monte Carlo method and a new trial wave function able to describe the supersolid. The new wave function is symmetric under the exchange of particles and reproduces the…

Other Condensed Matter · Physics 2009-11-13 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat
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