Exact Three-Body Local Correlations for Excited States of the 1D Bose Gas
Márton KormosDepartment of Physics and Astronomy, Rice University, Houston, Texas 77005, USAYang-Zhi ChouDepartment of Physics and Astronomy, Rice University, Houston, Texas 77005, USAAdilet ImambekovDepartment of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
2011en
ABI
Abstract
We derive an exact analytic expression for the three-body local correlations in the Lieb-Liniger model of 1D Bose gas with contact repulsion. The local three-body correlations control the thermalization and particle loss rates in the presence of terms which break integrability, as is realized in the case of 1D ultracold bosons. Our result is valid not only at finite temperature but also for a large class of nonthermal excited states in the thermodynamic limit. We present finite temperature calculations in the presence of external harmonic confinement within local density approximation, and for a highly excited state that resembles an experimentally realized configuration.
Identifiers
Citations and references
Cited by 20 references