The Gutzwiller wave function as a disentanglement prescription

TL;DR

This paper reveals that the Gutzwiller wave function can be understood as a disentanglement of the thermal evolution operator, providing a new systematic approach to extend it into the strong-coupling regime without relying on the Gutzwiller approximation.

Contribution

It establishes a direct correspondence between the Gutzwiller wave function and disentanglement, enabling systematic extension to strong coupling regimes beyond previous approximations.

Findings

The Gutzwiller wave function corresponds to a specific disentanglement of the thermal evolution operator.

The approach is valid in the temperature range U<<kT<<E_F, without using the Gutzwiller approximation.

At low temperatures, a quantum RVB-like condition replaces classical double occupation suppression.

Abstract

The Gutzwiller variational wave function is shown to correspond to a particular disentanglement of the thermal evolution operator, and to be physically consistent only in the temperature range U<<kT<<E_F, the Fermi energy of the non-interacting system. The correspondence is established without using the Gutzwiller approximation. It provides a systematic procedure for extending the ansatz to the strong-coupling regime. This is carried out to infinite order in a dominant class of commutators. The calculation shows that the classical idea of suppressing double occupation is replaced at low temperatures by a quantum RVB-like condition, which involves phases at neighboring sites. Low-energy phenomenologies are discussed in the light of this result.