Particle Projection Using a Complex Langevin Method

TL;DR

This paper introduces a complex Langevin-based particle projection method for finite-temperature fermionic systems, enabling calculation of thermal properties and virial coefficients in lattice models.

Contribution

It presents a novel application of complex stochastic quantization for particle-number projection in fermionic lattice systems, advancing computational techniques for finite-temperature quantum many-body physics.

Findings

Computed the first five virial coefficients for 1D attractively interacting fermions.

Demonstrated the method's effectiveness in obtaining thermal properties of 3D Fermi systems.

Discussed the potential for studying finite-temperature properties using this approach.

Abstract

Using complex stochastic quantization, we implement a particle-number projection technique on the partition function of spin-1/2 fermions at finite temperature on the lattice. We discuss the method, its application towards obtaining the thermal properties of finite Fermi systems in three spatial dimensions, and results for the first five virial coefficients of one-dimensional, attractively interacting fermions.