Toda chain flow in Krylov space
Abstract
We show in full generality that time-correlation function of a physical observable analytically continued to imaginary time is a tau-function of integrable Toda hierarchy. Using this relation we show that the singularity along the imaginary axis, which is a generic behavior for quantum non-integrable many-body system, is due to delocalization in Krylov space.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2019
- DOI:
- 10.48550/arXiv.1912.12227
- arXiv:
- arXiv:1912.12227
- Bibcode:
- 2019arXiv191212227D
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory;
- Mathematical Physics;
- Quantum Physics
- E-Print:
- 8 pages