The Maxwell - Bloch equation and correlation functions for the penetrable Bose gas
Abstract
We consider the quantum nonlinear Schrödinger equation in one space and one time dimension. We are interested in the non-free-fermionic case. We consider static temperature-dependent correlation functions. The determinant representation for the correlation functions simplifies in the small-mass limit of the Bose particle. In this limit we describe the correlation functions by the vacuum expectation value of a boson-valued solution for Maxwell - Bloch differential equation. We evaluate long-distance asymptotics of the correlation functions in the small-mass limit.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- July 1997
- DOI:
- 10.1088/0305-4470/30/14/020
- arXiv:
- arXiv:hep-th/9608066
- Bibcode:
- 1997JPhA...30.5105K
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Quantum Algebra;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- LaTEX file, 20 pages, to appear J. Phys. A (1997)