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Taipei Postdoc Seminar
11:00 - 12:30, April 19, 2017 (Wednesday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Ground State Patterns and Phase Transition of Spin-1 Bose-Einstein Condensates via $\Gamma$-Convergence Theory
Tien-Tsan Shieh (National Taiwan University)


In this talk, I will introduce an analytic theory for the ground state patterns of spin-1 Bose-Einstein condensates (BECs) and their corresponding phase transition in an infinite trap potential on a bounded domain in the presence a uniform magnetic field. Configurations of the ground state in a system with different quadratic Zeeman energy and total magnetization is found within its Thomas-Fermi approximation. The sharp interface limit of the Spin-1 BEC model is derived through the Gamma convergence technique. A complete phase diagram for both ferromagnetic and antiferromagnetic systems is obtained in the semi-classical regime. It is shown that the interface between two different phases of a ground state has constant mean curvature, and its contact angle between the interface and the boundary obeys the Young's relation.



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