# Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture

## Abstract

We investigate the mixing-demixing transition and the collapse in a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex. We solve numerically a quantum-hydrodynamic model based on a new density functional which accurately takes into account the dimensional crossover. It is demonstrated that with the increase of interspecies repulsion, a mixed state of DBFM could turn into a demixed state. The system collapses for interspecies attraction above a critical value which depends on the vortex quantum number. For interspecies attraction just below this critical limit there is almost complete mixing of boson and fermion components. Such mixed and demixed states of a DBFM could be experimentally realized by varying an external magnetic field near a boson-fermion Feshbach resonance, which will result in a continuous variation of interspecies interaction.

- Authors:

- Instituto de Fisica Teorica, UNESP-Sao Paulo State University, 01.405-900 Sao Paulo, Sao Paulo (Brazil)
- CNISM and CNR-INFM, Unita di Padova, Dipartimento di Fisica 'Galileo Galilei', Universita di Padova, Via Marzolo 8, 35131 Padova (Italy)

- Publication Date:

- OSTI Identifier:
- 20982563

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.053603; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; BOSONS; DENSITY FUNCTIONAL METHOD; FERMIONS; HYDRODYNAMIC MODEL; INTERACTIONS; MAGNETIC FIELDS; MATHEMATICAL MODELS; MIXED STATE; NUMERICAL SOLUTION; RESONANCE; TWO-DIMENSIONAL CALCULATIONS; VORTICES

### Citation Formats

```
Adhikari, Sadhan K., and Salasnich, Luca.
```*Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.053603.

```
Adhikari, Sadhan K., & Salasnich, Luca.
```*Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture*. United States. doi:10.1103/PHYSREVA.75.053603.

```
Adhikari, Sadhan K., and Salasnich, Luca. Tue .
"Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture". United States.
doi:10.1103/PHYSREVA.75.053603.
```

```
@article{osti_20982563,
```

title = {Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture},

author = {Adhikari, Sadhan K. and Salasnich, Luca},

abstractNote = {We investigate the mixing-demixing transition and the collapse in a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex. We solve numerically a quantum-hydrodynamic model based on a new density functional which accurately takes into account the dimensional crossover. It is demonstrated that with the increase of interspecies repulsion, a mixed state of DBFM could turn into a demixed state. The system collapses for interspecies attraction above a critical value which depends on the vortex quantum number. For interspecies attraction just below this critical limit there is almost complete mixing of boson and fermion components. Such mixed and demixed states of a DBFM could be experimentally realized by varying an external magnetic field near a boson-fermion Feshbach resonance, which will result in a continuous variation of interspecies interaction.},

doi = {10.1103/PHYSREVA.75.053603},

journal = {Physical Review. A},

number = 5,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}