Ground-State Wave Function with Interactions between Different Species in $M$-Component Miscible Bose-Einstein Condensates

التفاصيل البيبلوغرافية
العنوان: Ground-State Wave Function with Interactions between Different Species in $M$-Component Miscible Bose-Einstein Condensates
المؤلفون: Kohno, Wataru, Kirikoshi, Akimitsu, Kita, Takafumi
المصدر: Journal of the Physical Society of Japan 87, 034002 (2018)
سنة النشر: 2018
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Quantum Gases
الوصف: We construct a variational ground-state wave function of weakly interacting M-component Bose-Einstein condensates beyond the mean-field theory by incorporating the dynamical 3/2-body processes, where one of the two colliding particles drops into the condensate and vice versa. Our numerical results with various masses and particle numbers show that the 3/2-body processes between different particles make finite contributions to lowering the ground-state energy, implying that many-body correlation effects between different particles are essential even in the weak-coupling regime of the Bose--Einstein condensates. We also consider the stability condition for $2$-component miscible states using the new ground-state wave function. Through this calculation, we obtain the relation $U^{2}_{AB}/U_{AA}U_{BB}<1+\alpha$, where $U_{ij}$ is the effective contact potential between particles $i$ and $j$ and $\alpha$ is the correction, which originates from the $3/2$-body and $2$-body processes.
Comment: 9 pages, 3 figures
نوع الوثيقة: Working Paper
DOI: 10.7566/JPSJ.87.034002
URL الوصول: http://arxiv.org/abs/1802.04937
رقم الأكسشن: edsarx.1802.04937
قاعدة البيانات: arXiv