Revisiting the fermion sign problem from the structure of Lee-Yang zeros
Conference The 19th National Conference on Chemical Dynamics (第十九届全国化学动力学会议) Time and location September 18–21, 2025, Chun’an, Hangzhou, Zhejiang, China Type Oral report (口头报告)
Conference The 19th National Conference on Chemical Dynamics (第十九届全国化学动力学会议) Time and location September 18–21, 2025, Chun’an, Hangzhou, Zhejiang, China Type Oral report (口头报告)
We propose a method to obtain the Lee-Yang zeros of general systems by numerical computation, study the influence of the zeros on the physical properties of interacting systems, and use the zero distribution to guide the calculation of thermodynamic properties in fermionic path integral molecular dynamics.
Conference Frontiers in Ab Initio Quantum Molecular Dynamics (CECAM Flagship School) Time and location July 25–29, 2026, Beijing, China Type Awarded poster (优秀墙报奖)
Using analytically solvable non-interacting systems, we analyze the movement of Lee-Yang zeros at finite temperature and propose obtaining the low-temperature properties of fermionic systems—severely affected by the fermion sign problem—by analytic continuation on the complex plane.
We connect the fermion sign problem with the Lee-Yang theory of phase transitions, extend the symmetry parameter to the complex plane, and show that the partition function of indistinguishable particles is a polynomial whose zeros at zero temperature are fixed and depend only on the particle number.