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We propose a new theoretical formalism which describes the Bose Einstein condensation of weakly interacting bosons with finite life time interacting with a thermal bath. We show that if a quasi-thermal distribution function of particles is…

Quantum Gases · Physics 2009-11-05 G. Malpuech , D. Solnyshkov

We excite the lowest-lying quadrupole mode of a Bose-Einstein condensate by modulating the atomic scattering length via a Feshbach resonance. Excitation occurs at various modulation frequencies, and resonances located at the natural…

In this work, we study low-lying collective excitations of a Bose-Einstein condensate with Newtonian and Yukawa-like two-particle interaction and derive boundaries for both Yukawa parameters. Using a variational approach, we explicitly show…

Quantum Gases · Physics 2023-04-05 S. Gödtel , C. Lämmerzahl

The ultracold atoms are an ideal platform to implement atomtronics and Josephson junctions analogous to superconducting circuits. The collective modes of a Bose gas split by a potential barrier have been known. However, the role of barriers…

Quantum Gases · Physics 2025-10-07 Harsimranjit Kaur , Kuldeep Suthar

We study quantum dynamics of three dressed Bose-Einstein condensates in a high-Q cavity. The quasiparticle excitation spectrum of this system is found numerically. The stability of the quasiparticle excitation is analyzed. It is shown that…

Soft Condensed Matter · Physics 2007-05-23 Zhong-Wen Ouyang , Le-Man Kuang

A theory of collective excitations in Bose-Einstein condensation in a trap is developed based on the quantum Hamilton-Jacobi equation of Bohm and the phase coherence along with the idea of off-diagonal long range order of Penrose and…

Other Condensed Matter · Physics 2007-05-23 S. J. Han

We study experimentally superradiance in a Bose-Einstein condensate using a two-frequency pump beam. By controlling the frequency difference between the beam components, we measure the spectrum of the backward (energy-mismatched)…

Other Condensed Matter · Physics 2009-11-13 Nir Bar-Gill , Eitan E. Rowen , Nir Davidson

Considering a Bose-Einstein condensed gas confined in one dimension with periodic boundary conditions, we demonstrate that, very generally, solitary-wave and rotational excitations coincide. This exact equivalence allows us to establish…

Quantum Gases · Physics 2015-05-20 A. D. Jackson , J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis

The resonant formation of nonlinear coherent modes in trapped Bose-Einstein condensates is studied. These modes represent nonground-state Bose condensates. The methods of describing the spectrum of the nonlinear modes are discussed. The…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We study the collective oscillations of spin-orbit-coupled Bose-Einstein condensates in the presence of position-dependent detuning. Specifically, we explore the quadrupole modes of the system using both numerical and analytical approaches…

Quantum Gases · Physics 2025-06-12 Huaxin He , Fengtao Pang , Yongping Zhang , Chunlei Qu

The spectrum of phonon-like collective excitations in the system of Bose-atoms in optical lattice (more generally, in the system of quantum particles described by the Bose-Hubbard model) is investigated. Such excitations appear due to…

Statistical Mechanics · Physics 2015-12-25 I. V. Stasyuk , O. V. Velychko , O. Vorobyov

A mixture of two distinguishable Bose-Einstein condensates confined in a ring potential has numerous interesting properties under rotational and solitary-wave excitation. The lowest-energy states for a fixed angular momentum coincide with a…

Quantum Gases · Physics 2015-06-04 J. Smyrnakis , M. Magiropoulos , A. D. Jackson , G. M. Kavoulakis

We investigate the expansion dynamics of a Bose-Einstein condensate that consists of two components and is initially confined in a quasi-one-dimensional trap. We classify the possible initial states of the two-component condensate by taking…

Quantum Gases · Physics 2017-08-23 S. K. Ivanov , A. M. Kamchatnov

We present a detailed study of the spectrum and dispersion of Bogoliubov quasiparticles in two coupled elongated Bose-Einstein condensates. We develop an analytically solvable model that approximates two infinite homogeneous condensates and…

Quantum Gases · Physics 2020-10-16 M. R. Momme , O. O. Prikhodko , Y. M. Bidasyuk

A one-dimensional Bose-Einstein condensate may experience nonlinear periodic modulations known as "cnoidal waves". We argue that such structures represent promising candidates for the study of supersolidity-related phenomena in a…

Quantum Gases · Physics 2021-02-17 Giovanni I. Martone , Alessio Recati , Nicolas Pavloff

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

Mathematical Physics · Physics 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

Disorder modifies the sound-wave excitation spectrum of Bose-Einstein condensates. We consider the classical hydrodynamic limit, where the disorder correlation length is much longer than the condensate healing length. By perturbation…

Quantum Gases · Physics 2009-12-13 Christopher Gaul , Nina Renner , Cord A. Mueller

We compare the collective modes for Bose-condensed systems with two degenerate components with and without spontaneous intercomponent coherence at finite temperature using the time-dependent Hartree-Fock approximation. We show that the…

Other Condensed Matter · Physics 2015-06-25 C. -H. Zhang , H. A. Fertig

We investigate parametric excitation and pattern formation in a harmonically trapped two-component Bose-Einstein condensate. We assume the condensate to be in the miscible phase, but near the miscible-immiscible phase transition, where…

Quantum Physics · Physics 2025-12-16 Meiling Wang , Juan Wang , Yan Li , Franco Dalfovo , Chunlei Qu

Quantum evolution of a collective mode of a Bose-Einstein condensate containing a finite number N of particles shows the phenomena of collapses and revivals. The characteristic collapse time depends on the scattering length, the initial…

Condensed Matter · Physics 2016-08-31 A. B. Kuklov , N. Chencinski , A. M. Levine , W. M. Schreiber , Joseph L. Birman