Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates

Ofir E. Alon; Alexej I. Streltsov; Lorenz S. Cederbaum

doi:10.1016/j.physleta.2006.10.048

Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates

Ofir E. Alon
, Alexej I. Streltsov
, Lorenz S. Cederbaum

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

Abstract

The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF(n), where n stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example.

Original language	English
Pages (from-to)	453-459
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	362
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2006.10.048
State	Published - 12 Mar 2007
Externally published	Yes

Keywords

Fragmented condensates
Multi-orbital mean-field
Time-evolution

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2006.10.048

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title = "Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates",

abstract = "The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF(n), where n stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example.",

keywords = "Fragmented condensates, Multi-orbital mean-field, Time-evolution",

author = "Alon, \{Ofir E.\} and Streltsov, \{Alexej I.\} and Cederbaum, \{Lorenz S.\}",

year = "2007",

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doi = "10.1016/j.physleta.2006.10.048",

language = "English",

volume = "362",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates

AU - Alon, Ofir E.

AU - Streltsov, Alexej I.

AU - Cederbaum, Lorenz S.

PY - 2007/3/12

Y1 - 2007/3/12

N2 - The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF(n), where n stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example.

AB - The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF(n), where n stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example.

KW - Fragmented condensates

KW - Multi-orbital mean-field

KW - Time-evolution

UR - https://www.scopus.com/pages/publications/33846354836

U2 - 10.1016/j.physleta.2006.10.048

DO - 10.1016/j.physleta.2006.10.048

M3 - Article

AN - SCOPUS:33846354836

SN - 0375-9601

VL - 362

SP - 453

EP - 459

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates

Abstract

Keywords

ASJC Scopus subject areas

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