# Two-dimensional dynamics of expansion of a degenerate Bose gas

@article{Mazets2012TwodimensionalDO,
title={Two-dimensional dynamics of expansion of a degenerate Bose gas},
author={Igor E. Mazets},
journal={Physical Review A},
year={2012},
volume={86}
}
• I. Mazets
• Published 5 October 2012
• Physics
• Physical Review A
Expansion of a degenerate Bose gas released from a pancakelike trap is numerically simulated under the assumption of separation of the motion in the plane of the loose initial trapping and the motion in the direction of the initial tight trapping. The initial conditions for the phase fluctuations are generated using the extension to the two-dimensional case of the description of the phase noise by the Ornstein-Uhlenbeck stochastic process. The numerical simulations, taking into account both the…
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## References

SHOWING 1-10 OF 14 REFERENCES

### Probing phase fluctuations in a 2D degenerate Bose gas by free expansion.

• Physics
Physical review letters
• 2012
The power spectrum of the density distribution of a freely expanding two-dimensional Bose gas is measured and the relative intensity of phase fluctuations is estimated from the normalized spectral peak strength and observed to decrease at lower temperatures, confirming the thermal nature of the phase fluctuations.

### Two-point density correlations of quasicondensates in free expansion

• Physics
• 2010
We measure the two-point density correlation function of freely expanding quasicondensates in the weakly interacting quasi-one-dimensional (1D) regime. While initially suppressed in the trap, density

### Density ripples in expanding low-dimensional gases as a probe of correlations

• Physics
• 2009
We investigate theoretically the evolution of the two-point density correlation function of a low-dimensional ultracold Bose gas after release from a tight transverse confinement. In the course of

### Fluctuations and stochastic processes in one-dimensional many-body quantum systems.

• Physics
Physical review letters
• 2010
A semiclassical description of the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons based on the Ornstein-Uhlenbeck stochastic process is developed and compared with the Luttinger-liquid theory.

### Ordering, metastability and phase transitions in two-dimensional systems

• Physics
• 1973
A new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists. The possibility of a phase transition

### Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral.

• Gillespie
• Mathematics
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
• 1996
The exact simulation algorithm used here to illustrate the zero-\ensuremath{\tau} limit theorem is derived for the Ornstein-Uhlenbeck process X(t) and its time integral Y(t).

### Observation of phase fluctuations in elongated Bose-Einstein condensates.

• Physics
Physical review letters
• 2001
Find pronounced phase fluctuations for condensates in very elongated traps in a broad temperature range and the dependence of their average value on temperature, number of particles, and the trapping potential is characterized.

### Two-point phase correlations of a one-dimensional bosonic Josephson junction.

• Physics
Physical review letters
• 2011
A one-dimensional Josephson junction is realized using quantum degenerate Bose gases in a tunable double well potential on an atom chip to measure the coupling strength and temperature and hence a full characterization of the system.

### Phys

• Rev. Lett. 105, 015301
• 2010