Reponse to Comment on "Direct mapping of the finite temperature phase diagram of strongly correlated quantum models"

TL;DR

This paper defends a method for mapping phase boundaries in quantum models using compressibility features, clarifying the conditions under which these features indicate critical fluctuations.

Contribution

It clarifies the criteria for interpreting sharp compressibility features as indicators of phase boundaries in quantum models.

Findings

Sharp features in compressibility can reliably indicate phase boundaries under specific conditions.

The paper refines the understanding of critical fluctuations' effects on compressibility.

It reaffirms the validity of the original phase mapping method.

Abstract

Pollet et al have questioned our claim staked in Phys. Rev. Lett. 103, 085701 (2009) that from the location of sharp features in the compressibility in the trap, it is possible to map out the phase boundary between two phases within reasonable accuracy. We stand by it and use this reply to sharpen the conditions under which "sharp" features in compressibility reflect the effects of critical fluctuations.