TY - GEN

T1 - Interacting multi-component fermions and the Yang-Baxter equation

T2 - 2007 Conference in Honor of C. N. Yang's 85th Birthday: Statistical Physics, High Energy, Condensed Matter and Mathematical Physics

AU - Batchelor, M. T.

PY - 2008

Y1 - 2008

N2 - The remarkable exact solution of 1D interacting fermions heralded a new era in the study of quantum many-body problems. The mathematical structure of the underlying Yang-Baxter equation led to profound advances in other fields. Recently there has been a significant revival of interest in 1D quantum many-body problems due to the striking and ongoing experimental developments in the study of cold quantum matter. In particular, through the trapping and cooling of interacting systems of atomic bosons and fermions in low dimensions. There is, e.g., already rather spectacular agreement between theory and experiment for 1D interacting bosons. This includes an experimental test of Yang-Yang thermodynamics for bosons on a chip...

AB - The remarkable exact solution of 1D interacting fermions heralded a new era in the study of quantum many-body problems. The mathematical structure of the underlying Yang-Baxter equation led to profound advances in other fields. Recently there has been a significant revival of interest in 1D quantum many-body problems due to the striking and ongoing experimental developments in the study of cold quantum matter. In particular, through the trapping and cooling of interacting systems of atomic bosons and fermions in low dimensions. There is, e.g., already rather spectacular agreement between theory and experiment for 1D interacting bosons. This includes an experimental test of Yang-Yang thermodynamics for bosons on a chip...

UR - http://www.scopus.com/inward/record.url?scp=84904133072&partnerID=8YFLogxK

U2 - 10.1142/9789812794185_0015

DO - 10.1142/9789812794185_0015

M3 - Conference contribution

AN - SCOPUS:84904133072

SN - 9812794174

SN - 9789812794178

T3 - Proceedings of the Conference in Honor of C. N. Yang's 85th Birthday: Statistical Physics, High Energy, Condensed Matter and Mathematical Physics

SP - 203

BT - Proceedings of the Conference in Honor of C. N. Yang's 85th Birthday

PB - World Scientific Publishing Co. Pte Ltd

Y2 - 31 October 2007 through 3 November 2007

ER -