%0 Book Section %1 statphys23_0241 %A Guan, X.W. %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 anyons bethe correlation exclusion generalized interacting pairing statistics statphys23 thermodynamic topic-1 %T The 1D anyon gas with $\delta$-function interaction: Bethe ansatz, ground state, thermodynamics and exclusion statistics %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=241 %X Anyons are particles that interpolate between fermions and bosons. Anyons in one dimension (1D) acquire a step-function-like phase when two identical particles exchange their positions 1--3. The pairwise dynamical interaction between identical particles is inextricably related to their statistical interaction through scattering. We show that the quantum degenerate signature of 1D interacting anyons is equivalent to identical particles with generalized exclusion statistics 4,5. The anyonic interaction and the dynamical interaction implement a continuous range of generalized exclusion statistics, providing a signature of strongly interacting anyons, including the strongly interacting 1D Bose gas. The thermodynamics and the local two-particle correlation function derived from the generalized exclusion statistics are in close agreement with the results derived for the anyon model using the thermodynamic Bethe Ansatz.\\ 1) A. Kundu, Phys. Rev. Lett. 83, 1275 (1999).\\ 2) M.T. Batchelor, X.-W. Guan and N. Oelkers, Phys. Rev. Lett. 96, 210402 (2006).\\ 3) M.T. Batchelor and X.-W. Guan, J. He, J. Stat. Mech. (2007) P03007.\\ 4) M.T. Batchelor and X.-W. Guan, Phys. Rev. B 74, 195121 (2006).\\ 5) M.T. Batchelor and X.-W. Guan, Laser Phys. Lett. 4, 77 (2007).

@incollection{statphys23_0241, abstract = {Anyons are particles that interpolate between fermions and bosons. Anyons in one dimension (1D) acquire a step-function-like phase when two identical particles exchange their positions [1--3]. The pairwise dynamical interaction between identical particles is inextricably related to their statistical interaction through scattering. We show that the quantum degenerate signature of 1D interacting anyons is equivalent to identical particles with generalized exclusion statistics [4,5]. The anyonic interaction and the dynamical interaction implement a continuous range of generalized exclusion statistics, providing a signature of strongly interacting anyons, including the strongly interacting 1D Bose gas. The thermodynamics and the local two-particle correlation function derived from the generalized exclusion statistics are in close agreement with the results derived for the anyon model using the thermodynamic Bethe Ansatz.\\ 1) A. Kundu, Phys. Rev. Lett. {\bf 83}, 1275 (1999).\\ 2) M.T. Batchelor, X.-W. Guan and N. Oelkers, Phys. Rev. Lett. {\bf 96}, 210402 (2006).\\ 3) M.T. Batchelor and X.-W. Guan, J. He, J. Stat. Mech. (2007) P03007.\\ 4) M.T. Batchelor and X.-W. Guan, Phys. Rev. B {\bf 74}, 195121 (2006).\\ 5) M.T. Batchelor and X.-W. Guan, Laser Phys. Lett. {\bf 4}, 77 (2007).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Guan, X.W.}, biburl = {https://www.bibsonomy.org/bibtex/2ea1ac26c9ff6e46c3a1da86b85960a7a/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {76cb9005ea31472182444186acbfa890}, intrahash = {ea1ac26c9ff6e46c3a1da86b85960a7a}, keywords = {ansatz anyons bethe correlation exclusion generalized interacting pairing statistics statphys23 thermodynamic topic-1}, month = {9-13 July}, timestamp = {2007-06-20T10:16:15.000+0200}, title = {The 1D anyon gas with $\delta$-function interaction: Bethe ansatz, ground state, thermodynamics and exclusion statistics}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=241}, year = 2007 }