# Virial coefficients of trapped and untrapped three-component fermions with three-body forces in arbitrary spatial dimensions

@article{Czejdo2020VirialCO, title={Virial coefficients of trapped and untrapped three-component fermions with three-body forces in arbitrary spatial dimensions}, author={A. J. Czejdo and Joaqu{\'i}n E. Drut and Y. Hou and J. R. McKenney and K. J. Morrell}, journal={Physical Review A}, year={2020}, volume={101} }

Using a coarse temporal lattice approximation, we calculate the first few terms of the virial expansion of a three-species fermion system with a three-body contact interaction in $d$ spatial dimensions, both in homogeneous space as well as in a harmonic trapping potential of frequency $\omega$. Using the three-body problem to renormalize, we report analytic results for the change in the fourth- and fifth-order virial coefficients $\Delta b_4$ and $\Delta b_5$ as functions of $\Delta b_3…

## 4 Citations

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## References

SHOWING 1-10 OF 20 REFERENCES

### Leading- and next-to-leading-order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions

- Physics
- 2019

Following up on recent calculations, we investigate the leading-order semiclassical approximation to the virial coefficients of a two-species fermion system with a contact interaction. Using the…

### Third- and fourth-order virial coefficients of harmonically trapped fermions in a semiclassical approximation

- PhysicsPhysical Review A
- 2019

Using a leading-order semiclassical approximation, we calculate the third- and fourth-order virial coefficients of nonrelativistic spin-1/2 fermions in a harmonic trapping potential in arbitrary…

### Path-Integral Monte Carlo Determination of the Fourth-Order Virial Coefficient for a Unitary Two-Component Fermi Gas with Zero-Range Interactions.

- PhysicsPhysical review letters
- 2016

This work determines the fourth-order virial coefficient b_{4} of such a strongly interacting Fermi gas using a customized ab initio path-integral Monte Carlo (PIMC) algorithm, and agrees within error bars with the experimentally determined value, thereby resolving an ongoing literature debate.

### Fermi-Fermi crossover in the ground state of one-dimensional few-body systems with anomalous three-body interactions

- PhysicsPhysical Review A
- 2019

In one spatial dimension, quantum systems with an attractive three-body contact interaction exhibit a scale anomaly. In this work, we examine the few-body sector for up to six particles. We study…

### Virial expansion for a three-component Fermi gas in one dimension: The quantum anomaly correspondence

- PhysicsPhysical Review A
- 2019

In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the…

### Quantum droplet of one-dimensional bosons with a three-body attraction

- Physics
- 2018

Ultracold atoms offer valuable opportunities where interparticle interactions can be controlled at will. In particular, by extinguishing the two-body interaction, one can realize unique systems…

### Quantum Anomaly and Thermodynamics of One-Dimensional Fermions with Three-Body Interactions.

- PhysicsPhysical review letters
- 2018

We show that a system of three species of one-dimensional fermions, with an attractive three-body contact interaction, features a scale anomaly directly related to the anomaly of two-dimensional…

### Anomalous frequency shifts in a one-dimensional trapped Bose gas

- PhysicsPhysical Review A
- 2019

We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose…

### Virial coefficients of one-dimensional and two-dimensional Fermi gases by stochastic methods and a semiclassical lattice approximation

- Mathematics, PhysicsPhysical Review A
- 2018

We map out the interaction effects on the first six virial coefficients of one-dimensional Fermi gases with zero-range attractive and repulsive interactions, and the first four virial coefficients of…

### Virial expansion for a strongly correlated Fermi gas.

- PhysicsPhysical review letters
- 2009

Using a high temperature virial expansion, this work proposes a practical way to determine the expansion coefficients for both harmonically trapped and homogeneous cases, and calculates the third order coefficient b{3}(T) at finite temperatures T.