Finite-temperature properties of low-dimensional bosons with three-body interaction

TL;DR

This paper investigates the finite-temperature behavior of low-dimensional bosons with three-body interactions, calculating thermodynamic properties and revealing unusual heat capacity behavior.

Contribution

It introduces a three-body $t$-matrix approximation for low-dimensional bosons and computes key thermodynamic quantities at finite temperatures.

Findings

Calculated the third virial coefficient and equation of state.

Observed non-monotonic temperature dependence of heat capacity.

Analyzed the depletion of closed-channel trimers with temperature.

Abstract

We discuss the finite-temperature properties of low-dimensional bosons with three-body interactions described by a Feshbach-resonance-like two-channel model. In particular, by using the approximate consideration that collects ring-like Feynman diagrams for the grand potential and resembles the three-body $t$-matrix approximation, we have computed the third virial coefficient, an equation of state, and the temperature depletion of the average number of closed-channel trimers. The calculated heat capacity demonstrates a non-monotonic temperature behavior, which is unusual for a low-dimensional Bose gas.