Toda chain flow in Krylov space

• URL: http://arxiv.org/abs/1912.12227v1
• Date: Fri, 27 Dec 2019 16:40:10 GMT
• Title: Toda chain flow in Krylov space
• Authors: Anatoly Dymarsky and Alexander Gorsky
• Abstract summary: 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.
• Score: 77.34726150561087
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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