摘要翻译:
我们探索了通过零范围吸引势相互作用的玻色子组合的零温行为。由于两体相互作用存在束缚态,多体模型最好用包含原子和分子组分之间耦合的哈密顿量来描述。由于散射长度为正,尽管粒子之间存在吸引,低密度收集有望保持稳定,防止坍缩。虽然变分多体分析表明,在低密度下,只有一个分子组分的坍缩溶液,但如果允许复值化学势,则可以得到预期的原子凝聚溶液。除了揭示与分子情况有关的两个离散的本征频率外,小振荡的展开将化学势的虚部量化为与原子凝聚体的相干衰变速率成正比的,成为关于坍缩较低态的集体声子激发的连续体。
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英文标题:
《On the Quantum Instability of Attractive Bose Systems》
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作者:
George E. Cragg and Arthur K. Kerman
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that includes the coupling between atomic and molecular components. Due to the positive scattering length, the low-density collection is expected to remain stable against collapse despite the attraction between particles. Although a variational many-body analysis indicates a collapsing solution with only a molecular component to its condensate at low density, the expected atomic condensate solution can be obtained if the chemical potential is allowed to be complex valued. In addition to revealing two discrete eigenfrequencies associated with the molecular case, an expansion in small oscillations quantifies the imaginary part of the chemical potential as proportional to a coherent decay rate of the atomic condensate into a continuum of collective phonon excitations about the collapsing lower state.
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PDF链接:
https://arxiv.org/pdf/712.2495