High-precision simulation of finite-size thermalizing systems at long times

• URL: http://arxiv.org/abs/2406.05399v1
• Date: Sat, 8 Jun 2024 08:39:21 GMT
• Title: High-precision simulation of finite-size thermalizing systems at long times
• Authors: Yichen Huang,
• Abstract summary: We propose a simple and efficient numerical method so that the simulation error is of higher order in $1/N$. This finite-size error scaling is proved by assuming the eigenstate thermalization hypothesis.
• Score: 6.907555940790131
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: To simulate thermalizing systems at long times, the most straightforward approach is to calculate the thermal properties at the corresponding energy. In a quantum many-body system of size $N$, for local observables and many initial states, this approach has an error of $O(1/N)$, which is reminiscent of the finite-size error of the equivalence of ensembles. In this paper, we propose a simple and efficient numerical method so that the simulation error is of higher order in $1/N$. This finite-size error scaling is proved by assuming the eigenstate thermalization hypothesis.

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