5 research outputs found
Exact Results for Three-Body Correlations in a Degenerate One-Dimensional Bose Gas
Motivated by recent experiments we derive an exact expression for the
correlation function entering the three-body recombination rate for a
one-dimensional gas of interacting bosons. The answer, given in terms of two
thermodynamic parameters of the Lieb-Liniger model, is valid for all values of
the dimensionless coupling and contains the previously known results
for the Bogoliubov and Tonks-Girardeau regimes as limiting cases. We also
investigate finite-size effects by calculating the correlation function for
small systems of 3, 4, 5 and 6 particles.Comment: 4 pages, 2 figure
Finite temperature Drude weight of an integrable Bose chain
We study the Drude weight at finite temperatures of an integrable
bosonic model where the particles interact via nearest-neighbour coupling on a
chain. At low temperatures, is shown to be universal in the sense that
this region is equivalently described by a Gaussian model. This low-temperature
limit is also relevant for the integrable one-dimensional Bose gas. We then use
the thermodynamic Bethe ansatz to confirm the low-temperature result, to obtain
the high temperature limit of and to calculate numerically.Comment: 11 pages, 2 figure
Three-body local correlation function in the Lieb-Liniger model: bosonization approach
We develop a method for the calculation of vacuum expectation values of local
operators in the Lieb-Liniger model. This method is based on a set of new
identities obtained using integrability and effective theory (``bosonization'')
description. We use this method to get an explicit expression for the
three-body local correlation function, measured in a recent experiment [1].Comment: 40 pages, 2 figure
Low-temperature crossover in the momentum distribution of cold atomic gases in one dimension
The momentum distribution function for the two-component 1D gases of bosons
and fermions is studied in the limit of strong interatomic repulsion. A
pronounced reconstruction of the distribution is found at a temperature much
smaller than the Fermi temperature. This new temperature scale, which equals
the Fermi temperature divided by the dimensionless coupling strength, is a
feature of the two-component model and does not exist in the one-component
case. We estimate the parameters relevant for the experimental observation of
the crossover effect.Comment: 6 pages, 2 figure
Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
Phase correlations, density fluctuations and three-body loss rates are
relevant for many experiments in quasi one-dimensional geometries. Extended
mean-field theory is used to evaluate correlation functions up to third order
for a quasi one-dimensional trapped Bose gas at zero and finite temperature. At
zero temperature and in the homogeneous limit, we also study the transition
from the weakly correlated Gross-Pitaevskii regime to the strongly correlated
Tonks-Girardeau regime analytically. We compare our results with the exact
Lieb-Liniger solution for the homogeneous case and find good agreement up to
the cross-over regime.Comment: 36 pages, 21 color pdf/jpeg figures, submitted to NJP, corrected
reference