2012/02/06 by Jimena Royo-Letelier, Royo-Letelier, Jimena · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Quantum Information and Cryptography #Strong Light-Matter Interactions #cond-mat.quant-gas #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.1202.1079
arxiv created 2012/02/06 · openalex publication_date 2012/02/06 · arxiv updated 2012/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study ground states of two-component condensates in a harmonic trap. We prove that in the strongly coupled and weakly interacting regime, the two components segregate while a symmetry breaking occurs. More precisely, we show that when the intercomponent coupling strength is very large and both intracomponent coupling strengths are small, each component is close to the positive or the negative part of a second eigenfunction of the harmonic oscillator in \R2. As a result, the supports of the components approach complementary half-spaces, and they are not radially symmetric.