# Integrable model of a $p$ -wave bosonic superfluid

## Abstract

We present an exactly solvable $p$-wave pairing model for two bosonic species. The model is solvable in any spatial dimension and shares some commonalities with the $p+ip$ Richardson-Gaudin fermionic model, such as a third-order quantum phase transition. However, contrary to the fermionic case, in the bosonic model the transition separates a gapless fragmented singlet pair condensate from a pair Bose superfluid, and the exact eigenstate at the quantum critical point is a pair condensate analogous to the fermionic Moore-Read state.

- Authors:

- Publication Date:

- Research Org.:
- Indiana Univ., Bloomington, IN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)

- OSTI Identifier:
- 1574548

- Alternate Identifier(s):
- OSTI ID: 1630821

- Grant/Contract Number:
- SC0020343

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Research

- Additional Journal Information:
- Journal Name: Physical Review Research Journal Volume: 1 Journal Issue: 3; Journal ID: ISSN 2643-1564

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

### Citation Formats

```
Lerma-Hernández, Sergio, Dukelsky, Jorge, and Ortiz, Gerardo. Integrable model of a p -wave bosonic superfluid. United States: N. p., 2019.
Web. doi:10.1103/PhysRevResearch.1.032021.
```

```
Lerma-Hernández, Sergio, Dukelsky, Jorge, & Ortiz, Gerardo. Integrable model of a p -wave bosonic superfluid. United States. https://doi.org/10.1103/PhysRevResearch.1.032021
```

```
Lerma-Hernández, Sergio, Dukelsky, Jorge, and Ortiz, Gerardo. Tue .
"Integrable model of a p -wave bosonic superfluid". United States. https://doi.org/10.1103/PhysRevResearch.1.032021.
```

```
@article{osti_1574548,
```

title = {Integrable model of a p -wave bosonic superfluid},

author = {Lerma-Hernández, Sergio and Dukelsky, Jorge and Ortiz, Gerardo},

abstractNote = {We present an exactly solvable p-wave pairing model for two bosonic species. The model is solvable in any spatial dimension and shares some commonalities with the p+ip Richardson-Gaudin fermionic model, such as a third-order quantum phase transition. However, contrary to the fermionic case, in the bosonic model the transition separates a gapless fragmented singlet pair condensate from a pair Bose superfluid, and the exact eigenstate at the quantum critical point is a pair condensate analogous to the fermionic Moore-Read state.},

doi = {10.1103/PhysRevResearch.1.032021},

journal = {Physical Review Research},

number = 3,

volume = 1,

place = {United States},

year = {2019},

month = {11}

}

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