Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate
M. Holzmann, Y. Castin
Abstract
We calculate the pair correlation function of an interacting Bose gas in a harmonic trap directly via Path Integral Quantum Monte Carlo simulation for various temperatures and compare the numerical result with simple approximative treatments. Around the critical temperature of Bose-Einstein condensation, a description based on the Hartree-Fock approximation is found to be accurate. At low temperatures the Hartree-Fock approach fails and we use a local density approximation based on the Bogoliubov description for a homogeneous gas. This approximation agrees with the simulation results at low temperatures, where the contribution of the phonon-like modes affects the long range behavior of the correlation function. Further we discuss the relation between the pair correlation and quantities measured in recent experiments.
Create a lesson
Related papers
Influence of Many-Body Dipole-Dipole Interactions on Excitation Transfer in a Dense Gas
A. A. Bobrov, S. A. Saakyan, B. B. Zelener et al.
Beyond-EUV spectrum of highly-charged gadolinium
M. L. Reitsma, J. Sheil, O. O. Versolato et al.
Measuring the Sr+ 5s1/2 Landé g-factor Using Singlet-Triplet Oscillations in a Circular Rydberg State of Strontium
Baptiste Muraz, Mathis Pepin, Corentin Guimard et al.
Robust watt-level continuous-wave deep-ultraviolet lasers near 230 nm
J. Cai, M. Stoepper, P. Agarwal et al.
High-density Optical Quantum Sensors with Pulsed Probe Read-out for Correlated Spin-Noise Reduction
Igor Savukov, Young Jin Kim
Measurement of the O- Photodetachment cross-section in the electrostatic storage ring FLSR
Oliver Forstner, Thorben Niemeyer, Andrey I. Bondarev et al.