### Abstract

Language | English |
---|---|

Article number | 043601 |

Number of pages | 6 |

Journal | Physical Review A |

Volume | 68 |

DOIs | |

Publication status | Published - 2003 |

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### Keywords

- condensed matter
- quantum physics

### Cite this

*Physical Review A*,

*68*, [043601]. https://doi.org/10.1103/PhysRevA.68.043601

}

*Physical Review A*, vol. 68, 043601. https://doi.org/10.1103/PhysRevA.68.043601

**Violation of self-similarity in the expansion of a 1D Bose gas.** / Pedri, P.; Santos, L.; Öhberg, P.; Stringari, S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Violation of self-similarity in the expansion of a 1D Bose gas

AU - Pedri, P.

AU - Santos, L.

AU - Öhberg, P.

AU - Stringari, S.

PY - 2003

Y1 - 2003

N2 - The expansion of a 1D Bose gas is investigated employing the Lieb-Liniger equation of state within the local density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling Ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.

AB - The expansion of a 1D Bose gas is investigated employing the Lieb-Liniger equation of state within the local density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling Ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.

KW - condensed matter

KW - quantum physics

U2 - 10.1103/PhysRevA.68.043601

DO - 10.1103/PhysRevA.68.043601

M3 - Article

VL - 68

JO - Physical Review A - Atomic, Molecular, and Optical Physics

T2 - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

M1 - 043601

ER -