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While a spin-orbit-coupled spin-1 Bose-Einstein condensate has been experimentally observed, its elementary excitations remain unclear in the stripe phase. Here, we systematically study the elementary excitations in three distinct phases of…

Quantum Gases · Physics 2022-08-24 Yuanyuan Chen , Hao Lyu , Yong Xu , Yongping Zhang

We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify…

Statistical Mechanics · Physics 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie

We study the dynamics of a two-component Bose-Einstein condensate (BEC) of $^{174}$Yb atoms coherently driven on a narrow optical transition. The excitation transfers the BEC to a superposition of states with different internal and momentum…

Quantum Gases · Physics 2018-10-31 M. Bosch Aguilera , R. Bouganne , A. Dareau , M. Scholl , Q. Beaufils , J. Beugnon , F. Gerbier

Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In…

Quantum Gases · Physics 2010-02-21 Zeng-Qiang Yu , Lan Yin

We present results on Bose-Einstein condensation (BEC) on general compact quantum graphs, i.e., one-dimensional systems with a (potentially) complex topology. We first investigate non-interacting many-particle systems and provide a complete…

Mathematical Physics · Physics 2018-05-16 Jens Bolte , Joachim Kerner

We theoretically investigate measurement-based feedback control over the motional degrees of freedom of an oblate quasi-2D atomic Bose-Einstein condensate (BEC) subject to continuous density monitoring. We develop a…

Quantum Gases · Physics 2025-10-15 Zain Mehdi , Matthew L. Goh , Matthew J. Blacker , Joseph J. Hope , Stuart S. Szigeti

Using hydrodynamic theory of superfluids and the Lee-Huang-Yang equation of state for interacting Bose gases we derive the first correction to the collective frequencies of a trapped gas, due to effects beyond mean field approximation. The…

Condensed Matter · Physics 2009-10-31 L. Pitaevskii , S. Stringari

We calculate the excitation frequencies of the low-lying modes of a trapped Bose-condensed gas at nonzero temperatures. We include in our calculation the dynamics of the noncondensed cloud, and find agreement with experimental results if we…

Statistical Mechanics · Physics 2009-10-31 M. J. Bijlsma , H. T. C. Stoof

We present the theory of damping of low-energy excitations of a trapped Bose condensate at finite temperatures, where the damping is provided by the interaction of these excitations with the thermal excitations. We emphasize the key role of…

Condensed Matter · Physics 2009-10-30 P. O. Fedichev , G. V. Shlyapnikov , J. T. M. Walraven

I show how Bose-Einstein condensation (BEC) in a non interacting bosonic system with exponential density of states function yields to a new class of Lerch zeta functions. By looking on the critical temperature, I suggest that a possible…

Statistical Mechanics · Physics 2020-01-30 Davood Momeni

Approaching phase boundaries in many-body systems can give rise to intriguing signatures in their excitation spectra. Here, we explore the excitation spectrum of a Bose-Einstein condensate strongly coupled to an optical cavity and pumped by…

Nonlinear coherent modes are the collective states of trapped Bose atoms, corresponding to different energy levels. These modes can be created starting from the ground state condensate that can be excited by means of a resonant alternating…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

Atoms can be extracted from a trapped Bose-Einstein condensate (BEC) by driving spin-flips to untrapped states. The coherence properties of the BEC are transfered to the released atoms, creating a coherent beam of matter refered to as an…

An atomic Bose-Einstein condensate (BEC) is often described as a macroscopic object which can be approximated by a coherent state. This, on the surface, would appear to indicate that its behavior should be close to being classical. In this…

Quantum Gases · Physics 2009-08-12 S. Choi , B. Sundaram

This article describes experiments performed with an ultracold gas of metastable helium above the Bose-Einstein transition. The gas is trapped in an harmonic magnetic potential and collective excitations are induced. Both the frequency and…

Condensed Matter · Physics 2007-05-23 M. Leduc , J. Leonard , F. Pereira dos Santos , E. Jahier , S. Schwartz , C. Cohen-Tannoudji

The method of phenomenological damping developed by Pitaevskii for superfluidity near the $\lambda$ point is simulated numerically for the case of a dilute, alkali, inhomogeneous Bose-condensed gas near absolute zero. We study several…

Quantum Physics · Physics 2009-10-31 S. Choi , S. A. Morgan , K. Burnett

The mode frequencies of a weakly interacting Bose gas in a magnetic trap are studied as a function of the anisotropy of the trap. As in earlier works the generalized Hartree-Fock-Bogoliubov equations within the Popov approximation…

Condensed Matter · Physics 2009-10-31 J. Reidl , A. Csordás , R. Graham , P. Szépfalusy

We consider Landau damping of elementary excitations in Bose-Einstein condensates (BECs) with dipolar interactions. We discuss quantum and quasi-classical regimes of Landau damping. We use a generalized wave-kinetic description of BECs…

Quantum Gases · Physics 2018-06-20 J. T. Mendonça , H. Terças , A. Gammal

We apply the concepts of nonlinear guided-wave optics to a Bose-Einstein condensate (BEC) trapped in an external potential. As an example, we consider a parabolic double-well potential and derive coupled-mode equations for the complex…

We consider a Bose-Einstein condensate in a double-well potential undergoing a dynamical transition from the regime of Josephson oscillations to the regime of self-trapping. We analyze the statistical properties of the ground state (or the…

Quantum Gases · Physics 2010-05-13 B. Julia-Diaz , D. Dagnino , M. Lewenstein , J. Martorell , A. Polls