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We propose a new kind of quantum phase transition in phase separated mixtures of Bose-Einstein condensates. In this transition, the distribution of the two components changes from a symmetric to an asymmetric shape. We discuss the nature of…

Statistical Mechanics · Physics 2009-11-07 Anatoly Svidzinsky , Siu-Tat Chui

These notes discuss two aspects of the physics of atomic Bose-Einstein condensates: optical properties and spinor condensates. The first topic includes light scattering experiments which probe the excitations of a condensate in both the…

Soft Condensed Matter · Physics 2015-06-24 Dan M. Stamper-Kurn , Wolfgang Ketterle

For equilibrium systems, the magnitude of thermal fluctuations is closely linked to the dissipative response to external perturbations. This fluctuation-dissipation relation has been described for material particles in a wide range of…

Quantum Gases · Physics 2023-01-24 Fahri Emre Öztürk , Frank Vewinger , Martin Weitz , Julian Schmitt

We consider the propagation of photons in a model of a charged scalar Bose-Einstein (BE) condensate. We determine the dispersion relations of the collective modes, as well as the photon polarization tensor and the dielectric constant in the…

High Energy Physics - Phenomenology · Physics 2024-08-01 José F. Nieves , Sarira Sahu

Possibility of establishment of equilibrium between the photon and the dense photon bunch is studied. In the case, when the density of plasma does not change, the condition of production of the Bose-Einstein condensate is obtained. It is…

Plasma Physics · Physics 2010-06-04 Levan N. Tsintsadze

We demonstrate the existence of phase fluctuations in elongated Bose-Einstein Condensates (BECs) and study the dependence of those fluctuations on the system parameters. A strong dependence on temperature, atom number, and trapping geometry…

We study the reflection of two counter-propagating modes of the light field in a ring resonator by ultracold atoms either in the Mott insulator state or in the superfluid state of an optical lattice. We obtain exact numerical results for a…

Quantum Physics · Physics 2015-06-26 W. Chen , D. Meiser , P. Meystre

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

Other Condensed Matter · Physics 2008-04-14 Mark E. Perel'man

It is well known that in the presence of a ring cavity the light scattering from a uniform atomic ensemble can become unstable resulting in the collective atomic recoil lasing. This is the result of a positive feedback due to the cavity. We…

Quantum Physics · Physics 2016-01-12 Denis A. Ivanov , Tatiana Yu. Ivanova , Igor B. Mekhov

We perform a detailed numerical study of the equilibrium ground-state structures of a binary rotating Bose-Einstein condensate with unequal atomic masses. Our results show that the ground-state distribution and its related vortex…

Quantum Gases · Physics 2016-10-12 Biao Dong , Lin-Xue Wang , Guang-Ping Chen , Wei Han , Shou-Gang Zhang , Xiao-Fei Zhang

The study of temporal coherence in a Bose-Einstein condensate of photons can be challenging, especially in the presence of correlations between the photonic modes. In this work, we use a microscopic, multimode model of photonic condensation…

Quantum Physics · Physics 2024-05-16 Yijun Tang , Himadri Shekhar Dhar , Rupert F. Oulton , Robert A. Nyman , Florian Mintert

The phase diffusion of the order parameter of trapped Bose-Einstein condensates at temperatures large compared to the mean trap frequency is determined, which gives the fundamental limit of the line-width of an atom laser. In addition a…

Condensed Matter · Physics 2009-10-31 Robert Graham

A quantitative quantum field approach with non-local order parameters is presented for a very weakly interacting, dilute Bose gas. Within the presented model, which assumes the constraint of particle number conservation at constant average…

Quantum Gases · Physics 2025-03-28 Alexej Schelle

We study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a…

Other Condensed Matter · Physics 2008-08-12 D. Witthaut , E. M. Graefe , S. Wimberger , H. J. Korsch

We report the experimental observation of resonances in the early-time momentum diffusion rates for the atom-optical delta-kicked rotor. In this work a Bose-Einstein condensate provides a source of ultra-cold atoms with an ultra-narow…

Soft Condensed Matter · Physics 2009-11-10 G. Duffy , S. Parkins , T. Muller , M. Sadgrove , R. Leonhardt , A. C. Wilson

There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary…

Quantum Gases · Physics 2015-06-19 V. I. Yukalov , E. P. Yukalova

Through considering a two-component dipolar Bose-Einstein condensate, we investigate the influence of the angle between the polarization orientations of the two species on the ground states, and show that the miscibility between the two…

Quantum Gases · Physics 2024-05-22 Liang-Jun He , Bo Liu , Yong-Chang Zhang

This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using…

Condensed Matter · Physics 2009-11-07 J. J. Hope

We investigate the factors that influence the usefulness of supersonic collisions of Bose-Einstein condensates as a potential source of entangled atomic pairs by analyzing the reduction of the number difference fluctuations between regions…

Quantum Gases · Physics 2013-07-16 P. Deuar , T. Wasak , P. Zin , J. Chwedenczuk , M. Trippenbach

We review the phenomenon of equilibrium fluctuations in the number of condensed atoms in a trap containing N atoms total. We start with a history of the Bose-Einstein distribution, the Einstein-Uhlenbeck debate concerning the rounding of…

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