Ground state modulations in the CP(N－1) model
Ground state modulations in the CP(N－1) model
复制标题
CP(N-1) 模型中的基态调制
DOI：
10.1103/physrevd.100.085006
复制
发表时间：
2019
影响因子：
5
通讯作者：
and Ryosuke Yoshii
中科院分区：
文献类型：
--
作者：
Antonino Flachi;Guglielmo Fucci;Muneto Nitta;Satoshi Takada;and Ryosuke Yoshii
在这项工作中，我们研究了一个系统组成的一个封闭的一维排列的原子，我们描述使用二维模型，限制在一个区间和有限的温度。我们开发了一种方法，以获得作为波动的有效质量的函数的单圈有效作用的体积和边界部分。的形式主义的优点是允许一个大类的边界条件的系统分析和模型的（绝热）响应的基态的边界条件的变化。在周期性边界条件的情况下，我们发现，非均匀相是不利的大尺寸的间隔。远离周期性的边界条件，我们的数值计算结果表明，基态有一个通用的晶体状的结构，可以调制的边界条件的变化。这里提出的结果可能是相关的非线性西格玛模型的实验实现，并可以通过晶格数值模拟进行测试。
In this work we examine a system consisting of a confined one-dimensional arrangement of atoms that we describe by using the 2-dimensionalmodel, restricted to an interval and at finite temperature. We develop a method to obtain the bulk and boundary parts of the one-loop effective action as a function of the effective mass of the fluctuations. The formalism has the advantage of allowing for a systematic analysis of a large class of boundary conditions and to model the (adiabatic) response of the ground state to changes in the boundary conditions. In the case of periodic boundary conditions, we find that inhomogeneous phases are disfavored for intervals of large size. Away from periodic boundary conditions, our numerical results show that the ground state has a generic crystal-like structure that can be modulated by variations of the boundary conditions. The results presented here could be relevant for experimental implementations of nonlinear sigma models and could be tested by lattice numerical simulations.