# Temperature of a trapped unitary Fermi gas at finite entropy

## Abstract

We present theoretical predictions for the equation of state of a harmonically trapped Fermi gas in the unitary limit. Our calculations compare Monte Carlo results with the equation of state of a uniform gas using three distinct perturbation schemes. We show that in experiments the temperature can be usefully calibrated by making use of the entropy, which is invariant during an adiabatic conversion into the weakly interacting limit of molecular BEC. We predict the entropy dependence of the equation of state.

- Authors:

- ARC Centre of Excellence for Quantum-Atom Optics, Department of Physics, University of Queensland, Brisbane, Queensland 4072 (Australia)

- Publication Date:

- OSTI Identifier:
- 20974632

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.023617; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; DISTURBANCES; ENTROPY; EQUATIONS OF STATE; FERMI GAS; FERMIONS; MONTE CARLO METHOD; PERTURBATION THEORY; TRAPPING

### Citation Formats

```
Hu Hui, Liu Xiaji, and Drummond, Peter D.
```*Temperature of a trapped unitary Fermi gas at finite entropy*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.023617.

```
Hu Hui, Liu Xiaji, & Drummond, Peter D.
```*Temperature of a trapped unitary Fermi gas at finite entropy*. United States. doi:10.1103/PHYSREVA.73.023617.

```
Hu Hui, Liu Xiaji, and Drummond, Peter D. Wed .
"Temperature of a trapped unitary Fermi gas at finite entropy". United States.
doi:10.1103/PHYSREVA.73.023617.
```

```
@article{osti_20974632,
```

title = {Temperature of a trapped unitary Fermi gas at finite entropy},

author = {Hu Hui and Liu Xiaji and Drummond, Peter D.},

abstractNote = {We present theoretical predictions for the equation of state of a harmonically trapped Fermi gas in the unitary limit. Our calculations compare Monte Carlo results with the equation of state of a uniform gas using three distinct perturbation schemes. We show that in experiments the temperature can be usefully calibrated by making use of the entropy, which is invariant during an adiabatic conversion into the weakly interacting limit of molecular BEC. We predict the entropy dependence of the equation of state.},

doi = {10.1103/PHYSREVA.73.023617},

journal = {Physical Review. A},

number = 2,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}

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