# Fluctuating and dissipative dynamics of dark solitons in quasicondensates

@article{Cockburn2011FluctuatingAD, title={Fluctuating and dissipative dynamics of dark solitons in quasicondensates}, author={Stuart P. Cockburn and Hector E. Nistazakis and Theodoros P. Horikis and P. G. Kevrekidis and N. P. Proukakis and Dimitri J. Frantzeskakis}, journal={Physical Review A}, year={2011}, volume={84}, pages={043640} }

The fluctuating and dissipative dynamics of matter-wave dark solitons within harmonically trapped, partially condensed Bose gases is studied both numerically and analytically. A study of the stochastic Gross-Pitaevskii equation, which correctly accounts for density and phase fluctuations at finite temperatures, reveals dark-soliton decay times to be lognormally distributed at each temperature, thereby characterizing the previously predicted long-lived soliton trajectories within each ensemble…

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## References

SHOWING 1-10 OF 71 REFERENCES

### Fundamentals of Statistical and Thermal Physics

- Education
- 1965

This book is designed for the junior-senior thermodynamics course given in all departments as a standard part of the curriculum. The book is devoted to a discussion of some of the basic physical…

### Dynamics and interaction of dark solitons in Bose-Einstein condensates

- Physics
- 2009

Abstract: In this thesis we experimentally observe the dynamics of dark solitons in elongated Bose-Einstein condensates (BEC) in the crossover regime between 1D and 3D. Dark solitons are dynamically…

### Phys

- Rev. Lett. 104, 160404
- 2010

### Nature Physics 4

- 496
- 2008

### Phys

- 114, 11
- 1999

### Phys

- Rev. A 83, 043619
- 2011

### Phys

- Rev. A 60, 3220
- 1999

### Phys

- 124, 431
- 2001

### Phys

- Rev. Lett. 104, 174101
- 2010