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Related papers: Exact surface-wave spectrum of a dilute quantum li…

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An interface between two media is topologically stable two-dimensional object where 3D-symmetry breaks which allows for existence of many exotic excitations. A direct way to explore surface excitations is to investigate their interaction…

Other Condensed Matter · Physics 2018-03-29 I. Todoshchenko

We investigate the structure and collective modes of a planar surface of a trapped Bose-Einstein condensed gas at zero temperature. In the long-wavelength limit we find a mode similar to the gravity wave on the surface of a fluid with the…

Condensed Matter · Physics 2009-10-31 U. Al Khawaja , C. J. Pethick , H. Smith

We exploit the symmetries associated with the stability of the superfluid phase to solve the long-standing problem of interacting bosons in the presence of a condensate at zero temperature. Implementation of these symmetries poses strong…

Condensed Matter · Physics 2009-10-28 C. Castellani , C. Di Castro , F. Pistolesi , G. C. Strinati

We calculate the spatially resolved optical emission spectrum of a weakly interacting Bose gas of excitons confined in a three dimensional potential trap due to interband transitions involving weak direct and phonon mediated exciton-photon…

Quantum Gases · Physics 2010-02-10 Heinrich Stolz , Dirk Semkat

The spectral function and dynamic structure factor of bosons interacting by contact repulsion and confined to one dimension exhibit power-law singularities along the dispersion curves of the collective modes. We find the corresponding…

Strongly Correlated Electrons · Physics 2008-09-04 Adilet Imambekov , Leonid I. Glazman

A relation between the number of bound collective excitations of an atomic Bose-Einstein condensate and the phase shift of elastically scattered atoms is derived. Within the Bogoliubov model of a weakly interacting Bose gas this relation is…

Soft Condensed Matter · Physics 2007-05-23 J. Brand , I. Haering , J. -M. Rost

We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic horizon. For the simplest case of a step-like horizon,…

Quantum Gases · Physics 2014-11-20 A. Recati , N. Pavloff , I. Carusotto

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the dipolar exchange interaction between the…

Atomic Physics · Physics 2011-10-27 Aristeu R. P. Lima , Axel Pelster

Using Bogoliubov theory we calculate the excitation spectrum of a spinor Bose-Einstein condensed gas with equal Rashba and Dresselhaus spin-orbit coupling in the stripe phase. The emergence of a double gapless band structure is pointed out…

Quantum Gases · Physics 2013-06-11 Yun Li , Giovanni I. Martone , Lev P. Pitaevskii , Sandro Stringari

We consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive on-site two-body interactions, we include a three-body repulsive term such that the competition…

Quantum Gases · Physics 2025-02-17 Daniel Pérez-Cruz , Manuel Valiente

The natural excitations of an interacting one-dimensional system at low energy are hydrodynamic modes of Luttinger liquid, protected by the Lorentz invariance of the linear dispersion. We show that beyond low energies, where quadratic…

We calculate the energy of one- and two-dimensional weakly interacting Bose-Bose mixtures analytically in the Bogoliubov approximation and by using the diffusion Monte Carlo technique. We show that in the case of attractive inter- and…

Quantum Gases · Physics 2016-09-06 D. S. Petrov , G. E. Astrakharchik

The collective elementary excitations of two dimensional magnetoexcitons in a Bose Einstein condensate with zero wavevector are investigated in the framework of the Bogoliubov theory of quasi averages. The Hamiltonian of the electrons and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 S. A. Moskalenko , M. A. Liberman , D. W. Snoke , E. V. Dumanov , S. S. Rusu , F. Cerbu

We report the observation of dynamic fringe patterns in the diffuse scattering of extreme ultraviolet light from surfaces, following femtosecond optical excitation. At each point on the detector, the diffuse scattering intensity exhibits…

The quasiparticle excitation spectra of a Bose gas trapped in a highly anisotropic trap is studied with respect to varying total number of particles by numerically solving the effective one-dimensional (1D) Gross-Pitaevskii (GP) equation…

Quantum Gases · Physics 2014-01-23 Tao Yang , Andrew J. Henning , Keith A. Benedict

We present experimental results for water wave turbulence excited by piston-like programmed wavemakers in a water flume with horisontal dimensions 6x12x1.5 meters. Our main finding is that for a wide range of excitation amplitudes the…

Chaotic Dynamics · Physics 2009-11-11 Petr Denissenko , Sergei Lukaschuk , Sergey Nazarenko

We investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical space-time rescaling to the dynamics in both the…

Analysis of PDEs · Mathematics 2025-03-07 Jacky Chong , Shunlin Shen , Zhifei Zhang

We develop an inhomogeneous quantum mean-field approach to the behavior of collective excitations across the superfluid-Mott glass quantum phase transition in two dimensions, complementing recent quantum Monte Carlo simulations [Phys. Rev.…

Strongly Correlated Electrons · Physics 2021-12-15 Martin Puschmann , João C. Getelina , José A. Hoyos , Thomas Vojta

For a dilute system of non-relativistic bosons interacting through a positive, radial potential $v$ with scattering length $a$ we prove that the ground state energy density satisfies the bound $e(\rho) \geq 4\pi a \rho^2 (1- C \sqrt{\rho…

Mathematical Physics · Physics 2020-04-22 Birger Brietzke , Søren Fournais , Jan Philip Solovej

We calculate the single-particle spectral functions and quasi-particle dispersions for a Bose-Fermi mixture when the boson-fermion attraction is sufficiently strong to suppress completely the condensation of bosons at zero temperature.…

Quantum Gases · Physics 2015-06-16 Elisa Fratini , Pierbiagio Pieri