| Project/Area Number |
15340129
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
原子・分子・量子エレクトロニクス・プラズマ
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
UEDA Masahito Tokyo Institute of Technology, Graduate School of Science and Engineering, Professor, 大学院・理工学研究科, 教授 (70271070)
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| Project Period (FY) |
2003 – 2005
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| Project Status |
Completed (Fiscal Year 2005)
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| Budget Amount *help |
¥7,900,000 (Direct Cost: ¥7,900,000)
Fiscal Year 2005: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2004: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2003: ¥2,700,000 (Direct Cost: ¥2,700,000)
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| Keywords | Atomic and Molecular Physics / Low temperature physics / Condensed matter theory / Bose-Einstein condensates / 引力相互作用 / 非線形相互作用 / 低次元系 / 多体効果 / 量子ホール効果 |
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| Research Abstract |
We have studied effects of interactions on properties of gaseous Bose-Einstein condensates (BECs) by focusing on many-body effect and attractive interactions. Below follows the summary of our main results.
(1) Fast rotating BEC. We have shown that a rotating BEC makes a quantum phase transition to the Laughlin state when the angular momentum of the system exceeds h N(N-1), where N is the number of atoms. Above the Laughlin state we find a single-particle excitation branch similar to the roton branch. This branch has been found in fractional quantum Hall systems with a long-range Coulomb interaction. Our system has short-ranged and therefore offers a new insight into this gapful mode.
(2) A BEC is usually created in a confining potential. It is well known that in dimensions higher than one dimension BEC will either collapse or expand in free space. We have shown that the BEC can be stabilized in 2D free space by oscillating the strength of interactions between attractive and repulsive interactions using a Feshbach resonance.
(3) In 3D free space, we have found that BEC cannot be stabilized by the above method, but can be stabilized in the presence of dissipation. This state of matter may be viewed as a self-trapped gaseous superfluid in free space.
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