超玻璃相理论
Theory of the superglass phase
摘要:
超级玻璃是一种物质相,其特征在于同时具有超流动性和冻结的非晶结构。我们介绍了一个模型的相互作用玻色子在三维显示这一阶段明确,可以分析准确或使用控制近似。利用量子哈密顿量与经典Fokker-Planck算符之间的映射,证明了量子模型的基态波函数与经典硬球的玻尔兹曼测度成正比.这种联系使我们能够获得静态和动态量子关联函数的定量结果。特别是,通过翻译的布朗硬球的玻璃动力学的已知结果,我们工作的超玻璃相和超流体和超玻璃相之间的量子相变的属性。
英文摘要:
A superglass is a phase of matter which is characterized at the same time by superfluidity and a frozen amorphous structure. We introduce a model of interacting bosons in three dimensions that displays this phase unambiguously and that can be analyzed exactly or using controlled approximations. Employing a mapping between quantum Hamiltonians and classical Fokker-Planck operators, we show that the ground state wavefunction of the quantum model is proportional to the Boltzmann measure of classical hard spheres. This connection allows us to obtain quantitative results on static and dynamic quantum correlation functions. In particular, by translating known results on the glassy dynamics of Brownian hard spheres we work out the properties of the superglass phase and of the quantum phase transition between the superfluid and the superglass phase.
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