Revisiting the fermion sign problem from the structure of Lee-Yang zeros. III. Re-weighted simulation and identification of zeros

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.

Cong Wang†, He†, Zeng, Yang, Ye*, Li*

Revisiting the fermion sign problem from the structure of Lee-Yang zeros. II. Finite temperature results and continuation on the complex plane

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.

June 2026 · He†, Zeng†, Yang, Cong Wang*, Ye*, Li*

Lee-Yang zeros and path integral molecular dynamics of indistinguishable particles

Conference The 35th Chinese Chemical Society Congress (第35届中国化学会年会) Time and location April 11–14, 2026, Chongqing, China Type Awarded poster (优秀墙报奖)

April 2026 · Cong Wang

Revisiting the fermion sign problem from the structure of Lee-Yang zeros. I. The form of the partition function for anyons and its zeros at 0 K

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.

January 2026 · He†, Zeng†, Yang, Cong Wang*, Ye*, Li*