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Open Quantum Systems Decoherence
Quantum Simulation
Toda chain flow in Krylov space
arXiv
Authors: Anatoly Dymarsky, Alexander Gorsky
Year
2019
Paper ID
39559
Status
Preprint
Abstract Read
~2 min
Abstract Words
53
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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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- 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.
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