2015 Fiscal Year Final Research Report
Quantum transport equation snd its application to ultracold atomic system
| Project/Area Number |
25400410
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | Waseda University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
NAKAMAURA Yuusuke 早稲田大学, 理工学術院, 助教 (40547080)
INOUE Motoyoshi 早稲田大学, 理工学術院, 助手 (60609163)
KUWAHARA Yukiro 早稲田大学, 理工学術院, 助手 (00707812)
TAKAHASHI Junichi 早稲田大学, 理工学術院, 助手 (60732211)
|
|---|
| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| Keywords | 量子輸送方程式 / 場の量子論 / 冷却原子系 / 自発的対称性の破れ / ゼロモード / Thermo Field Dynamics / アルファクラスターモデル |
|---|
| Outline of Final Research Achievements |
We derived the quantum transport equations for ultracold atomic systems without condensate from the formulation of nonequilibrium processes based on quantum field theory, and solved them numerically. It is shown that the imaginary part in the self-energy is essential for relaxation of the system to equilibrium, and that the non-Markoffian property decelerate nonequilibrium processes.
In order to describe a nonequilibrium process involving condensation, we have established a new formulation of zero modes associated with a spontaneous breakdown of symmetry for a finite-size systems, for which the conventional Bogoliubov approximation is legitimate. The new formulation is applied to a system of a dark soliton in a condensate, or to the alpha-cluster model in nuclear physics, giving us new interpretations of the phenomena.
|
| Free Research Field |
場の晩量子論
|
