Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

M. Caliari; Marco Squassina

doi:10.4310/DPDE.2008.v5.n2.a2

Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

M. Caliari^*
, Marco Squassina

^*Corresponding author

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

16 Citations (Scopus)

Abstract

We consider a system of Gross–Pitaevskii equations in R\r\n2 modelling a mixture of two Bose–Einstein condensates with repulsive interaction.\r\nWe aim to study the qualitative behaviour of ground and excited state solutions.\r\nWe allow two different harmonic and off-centered trapping potentials\r\nand study the spatial patterns of the solutions within the Thomas–\r\nFermi approximation as well as phase segregation phenomena within the large interaction\r\nregime.

Original language	English
Pages (from-to)	117-137
Number of pages	21
Journal	Dynamics of Partial Differential Equations
Volume	5
Issue number	2
DOIs	https://doi.org/10.4310/DPDE.2008.v5.n2.a2
Publication status	Published - 2008

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

phase segregation

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10.4310/DPDE.2008.v5.n2.a2

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AU - Squassina, Marco

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AB - We consider a system of Gross–Pitaevskii equations in R\r\n2 modelling a mixture of two Bose–Einstein condensates with repulsive interaction.\r\nWe aim to study the qualitative behaviour of ground and excited state solutions.\r\nWe allow two different harmonic and off-centered trapping potentials\r\nand study the spatial patterns of the solutions within the Thomas–\r\nFermi approximation as well as phase segregation phenomena within the large interaction\r\nregime.

KW - phase segregation

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JO - Dynamics of Partial Differential Equations

JF - Dynamics of Partial Differential Equations

IS - 2

ER -

Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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