## SciPost Submission Page

# Quantum quenches to the attractive one-dimensional Bose gas: exact results

### by Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler

#### - Published as SciPost Phys. 1, 001 (2016)

### Submission summary

As Contributors: | Pasquale Calabrese · Fabian Essler · Lorenzo Piroli |

Arxiv Link: | http://arxiv.org/abs/1604.08141v3 |

Date accepted: | 2016-09-01 |

Date submitted: | 2016-07-29 |

Submitted by: | Piroli, Lorenzo |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Quantum Physics |

Approach: | Theoretical |

### Abstract

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function $g_2$.

### Ontology / Topics

See full Ontology or Topics database.
Attractive Bose gas
Bose-Einstein condensates (BECs)
Bound states
Lieb-Liniger model
Local pair correlation g_2
One-dimensional Bose gas
Quantum quenches
Quench Action
Stationary states

Published as SciPost Phys. 1, 001 (2016)

### Submission & Refereeing History

Resubmission 1604.08141v3 on 29 July 2016

Submission 1604.08141v2 on 24 May 2016