TAILIEUCHUNG - Draft summary of the doctor thesis Theoretic and mathematic physics: Study of finite size effects in two segregated bose einstein condensates with spatial restriction

Besides introduction and conclusion, this thesis consists of 3 chapters. Chapter 1. Overview of Bose-Einstein condensate. Theory of 2. Interfacial tension and wetting phase transition in the system of BECs limited by one hard wall. Chapter 3. Finite-size effects of interfacial tension in the system of BECs limited by two hard walls. | MINISTRY OF SCIENCE AND TECHNOLOGY MINISTRY OF EDUCATION AND TRANING VIETNAM ATOMIC ENERGY INSTITUTE ????? Pham The Song STUDY OF FINITE-SIZE EFFECTS IN TWO SEGREGATED BOSE-EINSTEIN CONDENSATES WITH SPATIAL RESTRICTION Major: Theoretic and mathematic physics Code: DRAFT SUMMARY OF THE DOCTOR THESIS Hanoi, 2017 Abbreviations Signs BEC BECs CE GCE DPA MDPA GP GPE(s) TIGPEs TPA MFA English Bose-Einstein sate Vietnamese conden- two segregated BoseEinstein condensates Canonical ensemble Grand canonical ensemble Double-parabola approximation Modified doubleparabola approximation Gross-Pitaevskii Gross-Pitaevskii equation(s) Time-independent Gross-Pitaevskii equations Tripple-parabola approximation Mean-field approximation ngưng tụ Bose-Einstein ngưng tụ Bose-Einstein hai thành phần phân tách tập hợp chính tắc tập hợp chính tắc lớn gần đúng parabol kép gần đúng parabol kép mở rộng Gross-Pitaevskii (hệ) phương trình GrossPitaevskii hệ phương trình GrossPitaevskii không phụ thuộc thời gian gần đúng ba parabol gần đúng trường trung bình 2 INTRODUCTION 1. The research subject By applying the DPA method, J. O. Indekeu and his partner studied surface tension and wetting phase transition in the infinity system of BECs and have gained lots of important results (Phys. Rev. A 91, 033615, (2015)). However, the influence of spatial restriction on physics properties of this system had not mentioned yet, while study the confined space effects of quantum systems meaningful to modern technology. That is the reasons why we choose the subject Study of finite-size effects in two segregated Bose-Einstein condensates with spatial restriction. 2. History of problem The Nobel prize 2001 in physics was awarded to E. A. Conell and W. Ketterle as a result of the first successful experiment of BEC (1995), which attracted attention of many scientists in the world. Based on the MFA, the GPE (s) are found by E. P. Gross and L. P. Pitaevskii, which is the most important .

• Vật lý
• Draft summary of the doctor thesis
• Theoretic and mathematic physics
• Study of finite size effects
• Bose einstein condensate
• Bose einstein condensates with spatial restriction