Finite resolution fluctuation measurements of a trapped Bose-Einstein condensate
arXiv:1310.6452 · doi:10.1103/PhysRevA.88.063624
Abstract
We consider the fluctuations in atom number that occur within finite-sized measurement cells in a trapped Bose-Einstein condensate (BEC). This approximates the fluctuation measurements made in current experiments with finite resolution in situ imaging. A numerical scheme is developed to calculate these fluctuations using the quasiparticle modes of a cylindrically symmetric three-dimensionally trapped condensate with either contact or dipole-dipole interactions (DDIs). We use this scheme to study the properties of a pancake shaped condensate using cylindrical cells. The extension of the theory to washer shaped cells with azimuthal weighting is made and used to discriminate between the low energy roton modes in a dipolar condensate according to their pro- jection of angular momentum. Our results are based on the Bogoliubov approach valid for zero and small finite temperatures.
11 pages, 9 figures
References in corpus (22)
- Stabilizing a purely dipolar quantum gas against collapse
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Observation of scale invariance and universality in two-dimensional Bose gases
- Radial and angular rotons in trapped dipolar gases
- Bogoliubov modes of a dipolar condensate in a cylindrical trap
- Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
- Critical Behavior of a Trapped Interacting Bose Gas
- Speckle Imaging of Spin Fluctuations in a Strongly Interacting Fermi Gas
- Roton spectroscopy in a harmonically trapped dipolar Bose-Einstein condensate
- Precision Measurements of Temperature and Chemical Potential of Quantum Gases
- The Planck distribution of phonons in a Bose-Einstein condensate
- Dipolar Bose-Einstein condensates at Finite temperature
- Roton excitations in a trapped dipolar Bose-Einstein condensate
- Finite temperature analysis of a quasi2D dipolar gas
- Stability and structure of an anisotropically trapped dipolar Bose-Einstein condensate: angular and linear rotons
- Depletion and fluctuations of a trapped dipolar Bose-Einstein condensate in the roton regime
- Many-body physics in the classical-field description of a degenerate Bose gas
- Finite-temperature trapped dipolar Bose gas
- Two point correlations of a trapped interacting Bose gas at finite temperature
- Geometric Stability Spectra of Dipolar Bose Gases in Tunable Optical Lattices
- Time-of-Flight Roton Spectroscopy in Dipolar Bose-Einstein Condensates
- Anisotropic Coherence properties in a trapped quasi2D dipolar gas
Cited by in corpus (4)
- Excitations and number fluctuations in an elongated dipolar Bose-Einstein condensate
- Scaling of Fluctuations in a Trapped Binary Condensate
- Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
- Measuring densities of cold atomic clouds smaller than the resolution limit