On the thermodynamic properties of fictitious identical particles and the application to fermion sign problem

• URL: http://arxiv.org/abs/2206.08341v2
• Date: Sat, 6 Aug 2022 02:57:04 GMT
• Title: On the thermodynamic properties of fictitious identical particles and the application to fermion sign problem
• Authors: Yunuo Xiong, Hongwei Xiong
• Abstract summary: We consider the finite-temperature thermodynamic properties of fictitious identical particles with a real parameter $xi$ interpolating continuously between bosons and fermions. Our work provides a chance to circumvent the fermion sign problem for some quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: By generalizing the recently developed path integral molecular dynamics for identical bosons and fermions, we consider the finite-temperature thermodynamic properties of fictitious identical particles with a real parameter $\xi$ interpolating continuously between bosons ($\xi=1$) and fermions ($\xi=-1$). Through general analysis and numerical experiments we find that the average energy may have good analytical property as a function of this real parameter $\xi$, which provides the chance to calculate the thermodynamical properties of identical fermions by an extrapolation with a simple polynomial function after accurately calculating the thermodynamic properties of the fictitious particles for $\xi\geq 0$. Using several examples, it is shown that our method can efficiently give accurate energy values for finite-temperature fermionic systems. Our work provides a chance to circumvent the fermion sign problem for some quantum systems.

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