Thermodynamics and static response of anomalous one-dimensional fermions via a quantum Monte Carlo approach in the worldline representation

Abstract

A system of three-species fermions in one spatial dimension (1D) with a contact three-body interaction is known to display a scale anomaly. This anomaly is identical to that of a two-dimensional (2D) system of twospecies fermions. The exact relation between those two systems, however, is limited to the two-particle sector of the 2D case and the three-particle sector of the 1D case. Here, we implement a nonperturbative Monte Carlo approach, based on the worldline representation, to calculate the thermodynamics and static response of threespecies fermions in 1D, thus tackling the many-body sector of the problem. We determine the energy, density, and pressure equations of state and the compressibility and magnetic susceptibility for a wide range of temperatures and coupling strengths. We compare our results with the third-order virial expansion and interpret the classicalquantum crossover as the onset of trimer degrees of freedom.

Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance

“…Also, we do not consider the three-body interaction whose effect has already been investigated in Refs. [63,64,66,67]. While the three-body attraction tends to stabilize three-body bound states, here we are interested in the stabilization of them due to the purely two-body attractions.…”

Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples

“…The Cooper triple state does not necessarily form a condensate (however, note Ref. [45]), but resulting three-body correlations can modify the equation of state substantially [40,46]. In this paper, motivated by the recent astronomical observations of compact stars as well as the theoretical progress in the in-medium three-body correlations in cold atomic systems, we discuss the possible scenario of the density-induced hadron-quark crossover accompanied by the formation of Cooper triples using a simplified toy model with threequark attractive interaction responsible for the baryon formation.…”

Efimov-like physics in fraction-dimensional Bose systems with three-body interaction

“…The problem of the SU (3) fermions with attractive threebody contact interaction was extensively discussed in the articles of Drut et al [2][3][4]. It was shown that this system features a scale anomaly, which impacts the thermodynamics [5] and exact universal relations generalizing the Tan contact theorems for three-body forces. The quantum anomaly also affects [6] the high-temperature transport properties of the three-component Fermi gases.…”