%0 Book Section %1 statphys23_0192 %A Calabrese, P. %A Caux, J.S. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K ansatz bethe bose gas statphys23 topic-8 %T Correlation functions in one-dimensional Bose gas %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=192 %X The momentum- and frequency-dependent correlation functions (one-body and density-density) of the one-dimensional interacting Bose gas are obtained for any value of the interaction parameter. In the repulsive regime, we use the Algebraic Bethe Ansatz and the recently developed ABACUS method to reconstruct the correlators to high accuracy for systems with finite but large numbers of particles. For attractive interactions, the correlations are computed analytically. Our results are discussed, with particular emphasis on their applications to quasi-one-dimensional atomic gases.

@incollection{statphys23_0192, abstract = {The momentum- and frequency-dependent correlation functions (one-body and density-density) of the one-dimensional interacting Bose gas are obtained for any value of the interaction parameter. In the repulsive regime, we use the Algebraic Bethe Ansatz and the recently developed ABACUS method to reconstruct the correlators to high accuracy for systems with finite but large numbers of particles. For attractive interactions, the correlations are computed analytically. Our results are discussed, with particular emphasis on their applications to quasi-one-dimensional atomic gases.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Calabrese, P. and Caux, J.S.}, biburl = {https://www.bibsonomy.org/bibtex/2d5fe0e41ec3367371268e8e9a1373a14/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {9f2f4e3f8fce47cf67482a9911f76a10}, intrahash = {d5fe0e41ec3367371268e8e9a1373a14}, keywords = {ansatz bethe bose gas statphys23 topic-8}, month = {9-13 July}, timestamp = {2007-06-20T10:16:14.000+0200}, title = {Correlation functions in one-dimensional Bose gas}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=192}, year = 2007 }