Static and rotating domain-wall cross patterns in Bose-Einstein condensates

Boris A. Malomed; H. E. Nistazakis; D. J. Frantzeskakis; P. G. Kevrekidis

doi:10.1103/PhysRevA.70.043616

Static and rotating domain-wall cross patterns in Bose-Einstein condensates

Boris A. Malomed^*, H. E. Nistazakis, D. J. Frantzeskakis, P. G. Kevrekidis

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The introduction of static and rotating domain-wall cross patterns for a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, was studied. With opposite signs of the wave functions in each pair of sectors filled by the same species, the patterns were generated by the intersection of two domain walls (DW) separating immiscible species. Corresponding to the values of physical parameters accessible for both BECs and photonic-crystal fibers (PCF), full stability domains for the quiescent and rotating crosses were identified. The results show that the patterns generated by the intersection of more than two DWs were observed to be unstable, and that they rearrange themselves into the fundamental crosses.

Original language	English
Article number	043616
Pages (from-to)	043616-1-043616-8
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	70
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.70.043616
State	Published - Oct 2004

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title = "Static and rotating domain-wall cross patterns in Bose-Einstein condensates",

abstract = "The introduction of static and rotating domain-wall cross patterns for a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, was studied. With opposite signs of the wave functions in each pair of sectors filled by the same species, the patterns were generated by the intersection of two domain walls (DW) separating immiscible species. Corresponding to the values of physical parameters accessible for both BECs and photonic-crystal fibers (PCF), full stability domains for the quiescent and rotating crosses were identified. The results show that the patterns generated by the intersection of more than two DWs were observed to be unstable, and that they rearrange themselves into the fundamental crosses.",

author = "Malomed, {Boris A.} and Nistazakis, {H. E.} and Frantzeskakis, {D. J.} and Kevrekidis, {P. G.}",

note = "Funding Information: We appreciate valuable discussions with L. Carr, E. Cornell, and P. Engels. B.A.M. acknowledges partial support from the Israel Science Foundation through Grant No. 8006∕03, and the hospitality of JILA (Boulder, CO). P.G.K. acknowledges support from the Eppley Foundation, NSF CAREER, and NSF-DMS-0204585.",

year = "2004",

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doi = "10.1103/PhysRevA.70.043616",

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T1 - Static and rotating domain-wall cross patterns in Bose-Einstein condensates

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AU - Nistazakis, H. E.

AU - Frantzeskakis, D. J.

AU - Kevrekidis, P. G.

N1 - Funding Information: We appreciate valuable discussions with L. Carr, E. Cornell, and P. Engels. B.A.M. acknowledges partial support from the Israel Science Foundation through Grant No. 8006∕03, and the hospitality of JILA (Boulder, CO). P.G.K. acknowledges support from the Eppley Foundation, NSF CAREER, and NSF-DMS-0204585.

PY - 2004/10

Y1 - 2004/10

N2 - The introduction of static and rotating domain-wall cross patterns for a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, was studied. With opposite signs of the wave functions in each pair of sectors filled by the same species, the patterns were generated by the intersection of two domain walls (DW) separating immiscible species. Corresponding to the values of physical parameters accessible for both BECs and photonic-crystal fibers (PCF), full stability domains for the quiescent and rotating crosses were identified. The results show that the patterns generated by the intersection of more than two DWs were observed to be unstable, and that they rearrange themselves into the fundamental crosses.

AB - The introduction of static and rotating domain-wall cross patterns for a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, was studied. With opposite signs of the wave functions in each pair of sectors filled by the same species, the patterns were generated by the intersection of two domain walls (DW) separating immiscible species. Corresponding to the values of physical parameters accessible for both BECs and photonic-crystal fibers (PCF), full stability domains for the quiescent and rotating crosses were identified. The results show that the patterns generated by the intersection of more than two DWs were observed to be unstable, and that they rearrange themselves into the fundamental crosses.

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JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

M1 - 043616

ER -

Static and rotating domain-wall cross patterns in Bose-Einstein condensates

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