Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential

Ying Wang; Yu Zhou; Shuyu Zhou

doi:10.1038/srep38512

Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential

Ying Wang, Yu Zhou, Shuyu Zhou

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Abstract

We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur-rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.

Original language	English
Article number	38512
Journal	Scientific Reports
Volume	6
DOIs	https://doi.org/10.1038/srep38512
State	Published - 6 Dec 2016
Externally published	Yes

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title = "Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential",

abstract = "We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur-rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.",

author = "Ying Wang and Yu Zhou and Shuyu Zhou",

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year = "2016",

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T1 - Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential

AU - Wang, Ying

AU - Zhou, Yu

AU - Zhou, Shuyu

PY - 2016/12/6

Y1 - 2016/12/6

N2 - We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur-rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.

AB - We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur-rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.

UR - https://www.scopus.com/pages/publications/85002193704

U2 - 10.1038/srep38512

DO - 10.1038/srep38512

M3 - Article

AN - SCOPUS:85002193704

SN - 2045-2322

VL - 6

JO - Scientific Reports

JF - Scientific Reports

M1 - 38512

ER -

Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential

Abstract

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