Higgs振幅模的准粒子理论
Quasi-Particle Theory for the Higgs Amplitude Mode
摘要：
我们提出了一个广义的准粒子理论的玻色子晶格系统，它自然包含所有相关的集体模式，包括在强关联超流体的希格斯振幅。与Bogoliubov理论相反，这种非微扰方法不依赖于一个小的凝聚耗尽，并且对三维空间中的任何相互作用强度都有效。它是基于周围的玻色Gutzwiller基态的适当选择的波动算子方面的扩展，奠定了基础的自然，弱相互作用的准粒子的实时动力学的描述。此外，它提供了一个系统的框架，有效地计算观测值超出Gutzwiller近似，包括外部扰动，以及高阶衰变和相互作用的准粒子运营商。它允许准粒子相干态的替代路径积分方法的建设。
英文摘要：
We present a generalized quasi-particle theory for bosonic lattice systems, which naturally contains all relevant collective modes, including the Higgs amplitude in the strongly correlated superfluid. In contrast to Bogoliubov theory, this non-perturbative method does not rely on a small condensate depletion and is valid for any interaction strength in three spatial dimensions. It is based on an expansion around the bosonic Gutzwiller ground state in terms of appropriately chosen fluctuation operators and lays the foundation for the description of real-time dynamics in terms of the natural, weakly interacting quasi-particles. Furthermore, it provides a systematic framework for efficiently calculating observables beyond the Gutzwiller approximation and for including external perturbations, as well as higher order decay and interactions in terms of quasi-particle operators. It allows for the construction of an alternative path integral approach in terms of quasi-particle coherent states.
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