# Metastability versus collapse following a quench in attractive Bose-Einstein condensates

@article{Golde2018MetastabilityVC, title={Metastability versus collapse following a quench in attractive Bose-Einstein condensates}, author={Jacob Golde and Joanna Ruhl and SUMITA Datta and Boris A. Malomed and Maxim Olshanii and Vanja Dunjko}, journal={Physical Review A}, year={2018}, volume={97}, pages={053604} }

We consider a Bose-Einstein condensate (BEC) with attractive two-body interactions in a cigar-shaped trap, initially prepared in its ground state for a given negative scattering length, which is quenched to a larger absolute value of the scattering length. Using the mean-field approximation, we compute numerically, for an experimentally relevant range of aspect ratios and initial strengths of the coupling, two critical values of quench: one corresponds to the weakest attraction strength the…

## Figures and Tables from this paper

## 6 Citations

### Quantum Fluctuations of the Center of Mass and Relative Parameters of Nonlinear Schrödinger Breathers.

- PhysicsPhysical review letters
- 2020

The breather dissociation time is confirmed to be within the limits of current cold-atom experiments, for macroscopic N, and fluctuations of soliton masses, phases, and positions are evaluated and may have experimental implications.

### Dynamics of nonlinear Schrödinger breathers in a potential trap.

- PhysicsPhysical review. E
- 2018

We consider the evolution of the 2-soliton (breather) of the nonlinear Schrödinger equation on a semi-infinite line with the zero boundary condition and a linear potential, which corresponds to the…

### Splitting of nonlinear-Schrödinger-equation breathers by linear and nonlinear localized potentials

- PhysicsPhysical Review A
- 2019

We consider evolution of one-dimensional nonlinear-Schr\"odinger (NLS) two-soliton complexes (breathers) with narrow repulsive or attractive potentials (barrier or well, respectively). By means of…

### Dissociation of One-Dimensional Matter-Wave Breathers due to Quantum Many-Body Effects.

- PhysicsPhysical review letters
- 2017

The ab initio Bethe ansatz dynamics is used to predict the dissociation of one-dimensional cold-atom breathers that are created by a quench from a fundamental soliton and is found to be a robust quantum many-body effect in the mean-field (MF) limit.

### Creation and Characterization of Matter-Wave Breathers.

- PhysicsPhysical review letters
- 2020

We report the creation of quasi-1D excited matter-wave solitons, "breathers," by quenching the strength of the interactions in a Bose-Einstein condensate with attractive interactions. We characterize…

### Excitation Modes of Bright Matter-Wave Solitons.

- PhysicsPhysical review letters
- 2019

It is shown that a deliberate mismatch of quench parameters allows for the excitation of breathing modes of the emerging soliton and for the determination of its breathing frequency as a function of atom number and confinement.

## References

SHOWING 1-10 OF 95 REFERENCES

### Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity.

- PhysicsPhysical review. E
- 2017

It is shown that even below threshold for direct collapse, the wave function bounces off from the origin and may eventually become singular after a number of oscillations in the trapping potential, reminiscent of the evolution of Einstein gravity sourced by a scalar field in anti de Sitter space where collapse corresponds to black-hole formation.

### Instability of a Bose-Einstein condensate with an attractive interaction

- Physics
- 2000

We study the stability of a Bose-Einstein condensate of harmonically trapped atoms with negative scattering length, specifically {sup 7}Li. Our method is to solve the time-dependent nonlinear…

### Direct observation of growth and collapse of a Bose–Einstein condensate with attractive interactions

- PhysicsNature
- 2000

Direct observations of the growth and subsequent collapse of a 7Li condensate with attractive interactions are reported, using phase-contrast imaging and the success of the measurement lies in the ability to reduce the stochasticity in the dynamics by controlling the initial number ofcondensate atoms using a two-photon transition to a diatomic molecular state.

### Controlled collapse of a Bose-Einstein condensate.

- PhysicsPhysical review letters
- 2001

The point of instability of a Bose-Einstein condensate (BEC) due to attractive interactions was studied and was determined to be N(absolute value of a) / a(ho) = 0.012+/-0.054, slightly lower than the predicted value of 0.574.

### Dynamics of collapsing and exploding Bose–Einstein condensates

- PhysicsNature
- 2001

The dynamics of how a Bose–Einstein condensate collapses and subsequently explodes when the balance of forces governing its size and shape is suddenly altered is explored.

### Dynamically slowed collapse of a Bose-Einstein condensate with attractive interactions

- Physics
- 2012

We rapidly change the scattering length a_s of a 87Rb Bose-Einstein condensate by means of a Feshbach resonance, simultaneously releasing the condensate from its harmonic trapping potential. When a_s…

### Fate of a Bose-Einstein condensate with an attractive interaction

- Physics
- 1999

We calculate the decay amplitude of a harmonically trapped Bose-Einstein condensate with attractive interaction via the Feynman path integral. We find that when the number of particles is less than a…

### Collapse of spin-orbit-coupled Bose-Einstein condensates

- Physics
- 2015

A finite-size quasi two-dimensional Bose-Einstein condensate collapses if the attraction between atoms is sufficiently strong. Here we present a theory of collapse for condensates with the…

### COLLAPSE AND BOSE-EINSTEIN CONDENSATION IN A TRAPPED BOSE GAS WITH NEGATIVE SCATTERING LENGTH

- Physics
- 1998

Evolution and collapse of a trapped Bose condensate with negative scattering length are predetermined by 3-body recombination of Bose-condensed atoms and by feeding of the condensate from the…

### Dynamics of Bose-Einstein condensates: Variational solutions of the Gross-Pitaevskii equations

- Physics
- 1997

A variational technique is applied to solve the time-dependent nonlinear Schrodinger equation ~Gross- Pitaevskii equation! with the goal to model the dynamics of dilute ultracold atom clouds in the…