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Few-Body Physics with Ultra Cold Atoms

Few-Body Physics with Ultra Cold Atoms
超冷原子的少体物理
批准号:
1509892
负责人:
Doerte Blume
金额:
$21.0万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-08-01 至 2017-09-30

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中文摘要
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英文摘要
Most every-day life processes are governed by classical mechanics. Newton's second law of motion is a well-known example of this. In certain situations, quantum mechanical laws come into play and the classical laws no longer provide an accurate description of the system dynamics. The quantum mechanical laws are well established. However, applying these laws and making quantitative predictions is a highly challenging task of fundamental and technical importance. The periodic table and nuclear chart, for example, are the result of quantum mechanical considerations, as are the working principles of solar cells. The activities supported by the grant will greatly advance our understanding of quantum mechanical few-body systems. These systems serve as prototypes for more complex systems. Where possible, the planned theoretical studies will be benchmarked against experimental results. As part of this program, multiple graduate and undergraduate students will be trained. These students will have access to state-of-the-art computing resources and will develop strong numerical and analytical skills; thus, they will be well prepared for a variety of future pursuits in academia, at national labs or in industry.Near zero temperature, few-body correlations are often times governed by just a few parameters such as the two-body s-wave scattering length and the two-body effective range. This suggests that effective low-energy few-atom Hamiltonians can be utilized to describe the key aspects of cold few-body collisions and of weakly-bound few-body states. The idea of replacing the true interactions by effective interactions is similar to what Fermi did in his groundbreaking 1934 paper on the scattering between slow neutrons and bound hydrogen atoms. The present grant capitalizes on experimental and theoretical advances in cold atom physics and provides support for theoretical studies of cold few-atom systems. Techniques will be developed and applied to solve the time-independent Schrodinger equation for different classes of non-trivial few-body systems, with the goal of developing a deeper understanding of few-particle correlations and universal low-energy features. The analytical approaches include perturbative treatments around the strongly-coupled regime and the use of a hyperspherical coordinate approach that can be viewed as a trap analog of the Bethe ansatz. Numerical techniques include a Lippmann-Schwinger equation based treatment and a basis set expansion technique that utilizes explicitly correlated Gaussians.
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Dynamics of Matter and Light-Matter Systems
Travel Support for Students to Attend 2019 DAMOP Conference, May 27-31, 2019 in Milwaukee, WI.
Spin and Spatial Correlations of Few-Body Systems
  • 批准号:
    1806259
  • 项目类别:
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  • 资助金额:
    $29.42万
  • 财政年份:
    2018
  • 负责人:
    Doerte Blume
  • 依托单位:
Few-Body Physics with Ultra Cold Atoms
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  • 项目类别:
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  • 财政年份:
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  • 负责人:
    Doerte Blume
  • 依托单位:
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