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The Bogoliubov-de Gennes equations are used for a number of theoretical works on the trapped Bose-Einstein condensates. These equations are known to give the energies of the quasi-particles when all the eigenvalues are real. We consider the…

Other Condensed Matter · Physics 2009-11-11 M. Mine , M. Okumura , T. Sunaga , Y. Yamanaka

We report the measurement of Beliaev damping of bulk excitations in cigar shaped Bose Einstein condensates of atomic vapor. By using post selection, excitation line shapes of the total population are compared with those of the undamped…

Other Condensed Matter · Physics 2013-05-29 E. E. Rowen , N. Bar-Gill , R. Pugatch , N. Davidson

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

The nonlinear dynamics of a Bose-Einstein condensate (BEC) of dipolar excitons trapped in an external confining potential in coupled quantum wells is analysed. It is demonstrated that under typical experimental conditions the dipolar…

Quantum Gases · Physics 2012-07-17 O. L. Berman , R. Ya. Kezerashvili , G. V. Kolmakov , Yu. E. Lozovik

The Bose-Einstein condensation of a dilute gas of rubidium-87 atoms was achieved by cooling a small number of atoms in a magnetic trap. The effective potential of the trap is to lowest order harmonic and under these conditions we estimate…

Condensed Matter · Physics 2007-05-23 H. Haugerud , F. Ravndal

We examine the Gross-Pitaevskii (GP) model for Bose-Einstein condensates in parabolic traps with attractive interactions. The decay of metastable condensates is investigated by applying the instanton formalism to the GP field theory.…

Statistical Mechanics · Physics 2009-10-31 Jose A. Freire , Daniel P. Arovas

A quantum device for measuring two-body interactions, scalar magnetic fields and rotations is proposed using a Bose--Einstein condensate (BEC) in a ring trap. We consider an imbalanced superposition of orbital angular momentum modes with…

Quantum Physics · Physics 2019-02-13 G. Pelegrí , J. Mompart , V. Ahufinger

We examine several features of Bose-Einstein condensation (BEC) in an external harmonic potential well. In the thermodynamic limit, there is a phase transition to a spatial Bose-Einstein condensed state for dimension D greater than or equal…

Condensed Matter · Physics 2016-08-31 W. J. Mullin

We investigate the properties a mobile ion immersed in a Bose-Einstein condensate (BEC) using different theoretical approaches. A coherent state variational ansatz predicts that the ion spectral function exhibits several branches in…

Quantum Gases · Physics 2021-06-23 Esben Rohan Christensen , Arturo Camacho-Guardian , Georg M. Bruun

We report an experiment of creating Bose-Einstein condensate (BEC) on an atom chip. The chip based Z-wire current and a homogeneous bias magnetic field create a tight magnetic trap, which allows for a fast production of BEC. After an 4.17s…

Atomic Physics · Physics 2013-10-28 Bo Yan , Feng Cheng , Min Ke , Xiaolin Li , Jiuyao Tang , Yuzhu Wang

We investigate the dynamics of an ion moving through a homogeneous Bose-Einstein condensate (BEC) after an initial momentum is imparted. For this, we derive a master equation in the weak-coupling limit and Lamb-Dicke approximation for the…

We consider a macroscopic two-sate system based on persistent current states of a Bose-Einstein condensate (BEC) of interacting neutral atoms confined in a ring with a weak Josephson link. We demonstrate that macroscopic superpositions of…

Quantum Gases · Physics 2012-03-20 Dmitry Solenov , Dmitry Mozyrsky

We have computed the one--body density matrix rho_1 in solid 4He at T=0 K using the Shadow Wave Function (SWF) variational technique. The accuracy of the SWF has been tested with an exact projector method. We find that off-diagonal long…

Statistical Mechanics · Physics 2009-11-11 D. E. Galli , M. Rossi , L. Reatto

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis

We encode the many-body wavefunction of a Bose-Einstein condensate (BEC) in the $N$-particle sector of an extended catalytic state. This catalytic state is a coherent state for the condensate mode and an arbitrary state for the modes…

Quantum Gases · Physics 2016-03-23 Zhang Jiang , Carlton M. Caves

Rapidly scanning magnetic and optical dipole traps have been widely utilised to form time-averaged potentials for ultracold quantum gas experiments. Here we theoretically and experimentally characterise the dynamic properties of…

We study the emergence of dynamical phases of a Bose-Einstein condensate that is optomechanically coupled to a dissipative cavity mode and transversally driven by a laser. We focus on the regime close to the optomechanical resonance, where…

Quantum Physics · Physics 2025-10-28 Gage W. Harmon , Giovanna Morigi , Simon B. Jäger

In this work, we study many-body excitations of Bose-Einstein condensates (BECs) trapped in periodic one-dimensional optical lattices. In particular, we investigate the impact of quantum depletion onto the structure of the low-energy…

Characteristics of the initial condensate in the recent experiment on Bose-Einstein condensation (BEC) of ${}^{87}$Rb atoms in an anisotropic magnetic trap is discussed. Given the aspect ratio $R$, the quality of BEC is estimated. A simple…

Condensed Matter · Physics 2015-06-25 Kirill Ilinski , Alexander Moroz

We study the decay of a two-component Bose-Einstein condensate with negative effective interaction energy. With a decreasing atom number due to losses, the atom-atom interaction becomes less important and the system undergoes a transition…

Soft Condensed Matter · Physics 2009-11-07 Sigmund Kohler , Fernando Sols