Correlation functions of the one-dimensional attractive Bose gas
P. Calabrese, J.-S. Caux
TL;DR
This paper analytically computes the zero-temperature correlation functions of the one-dimensional attractive Bose gas across all interaction strengths and particle numbers, revealing unique features like zero recoil energy akin to a M"ossbauer effect.
Contribution
It provides an exact analytical calculation of correlation functions for the attractive Bose gas, highlighting novel physical phenomena.
Findings
Zero recoil energy for large particle numbers
Analytical expressions valid for all interaction parameters
Identification of M"ossbauer-like effect in the system
Abstract
The zero-temperature correlation functions of the one-dimensional attractive Bose gas with delta-function interaction are calculated analytically for any value of the interaction parameter and number of particles, directly from the integrability of the model. We point out a number of interesting features, including zero recoil energy for large number of particles, analogous to a M\"ossbauer effect.
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