Spontaneous symmetry breaking in correlated wave functions

TL;DR

This paper demonstrates that Jastrow-Slater wave functions can exhibit long-range order while preserving symmetries, highlighting the role of strong Jastrow correlations in various quantum systems.

Contribution

It reveals that density-density Jastrow factors can induce long-range order in correlated wave functions without breaking symmetries, expanding understanding of quantum order mechanisms.

Findings

Long-range Ne9el order and dimerization in spin models.

Charge and orbital order stabilization in electronic systems.

Strong Jastrow terms can induce order while preserving symmetries.

Abstract

We show that Jastrow-Slater wave functions, in which a density-density Jastrow factor is applied onto an uncorrelated fermionic state, may possess long-range order even when all symmetries are preserved in the wave function. This fact is mainly related to the presence of a sufficiently strong Jastrow term (also including the case of full Gutzwiller projection, suitable for describing spin models). Selected examples are reported, including the spawning of N\'eel order and dimerization in spin systems, and the stabilization of charge and orbital order in itinerant electronic systems.