Andrew Sykes

Nonlocal pair correlations in the one-dimensional Bose gas at finite temperature

The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform one-dimensional Bose gas with repulsive contact interactions at finite temperatures. Long-, medium-, and short-range effects are investigated. The results span the entire range of physical regimes from ideal gas to strongly interacting and from zero temperature to high temperature (Gross-Pitaevskii) and strongly interacting (Tonks-Girardeau) gases. We present perturbative analytic methods, available at strong and weak couplings, and first-principles numerical results using imaginary time simulations with the gauge-P representation in regimes where perturbative methods are invalid. Nontrivial effects are observed from the interplay of thermally induced bunching behavior versus interaction induced antibunching.

Spatial nonlocal pair correlations in a repulsive 1D Bose gas.

We analytically calculate the spatial nonlocal pair correlation function for an interacting uniform 1D Bose gas at finite temperature and propose an experimental method to measure nonlocal correlations. Our results span six different physical realms, including the weakly and strongly interacting regimes. We show explicitly that the characteristic correlation lengths are given by one of four length scales: the thermal de Broglie wavelength, the mean interparticle separation, the healing length, or the phase coherence length. In all regimes, we identify the profound role of interactions and find that under certain conditions the pair correlation may develop a global maximum at a finite interparticle separation due to the competition between repulsive interactions and thermal effects.

s-wave scattering lengths of the strongly dipolar bosons Dy162 and Dy164

We report the measurement of the deca-heptuplet

Drag force on an impurity below the superfluid critical velocity in a quasi-one-dimensional Bose-Einstein condensate

s

Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz

-partial-wave scattering length

Hyperspherical-LOCV Approximation to Resonant BEC

a

Hyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates

of two bosonic isotopes of the highly magnetic element dysprosium:

Manifestations of dipolar collisions in thermal and BEC gases of dysprosium

a=112(10){a}_{0}

Erratum: s -wave scattering lengths of the strongly dipolar bosons 162Dy and 164Dy

for

Erratum: s -wave scattering lengths of the strongly dipolar bosons Dy 162 and Dy 164 [Phys. Rev. A 92 , 022703 (2015)]

^{162}\mathrm{Dy}