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arXiv 1704.00622cond-mat.quant-gasnucl-th
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一维玻色极化子问题的解析解

Analytical approach to the Bose polaron problem in one dimension

A. G. Volosniev, H. -W. Hammer

摘要:

本文讨论了一维玻色系统的基态性质(即所谓的玻色极化子问题)。我们介绍了一种形式主义,使我们能够计算分析的热力学零温度特性的弱和中等玻色子-玻色子相互作用强度的任何玻色子-杂质相互作用的系统。我们的方法进行了验证,通过比较精确的量子蒙特卡罗计算。此外,我们测试的方法在有限尺寸系统的数值结果的基础上的相似重整化群。我们认为,介绍的方法提供了一个简单的分析工具,在一维强相互作用的杂质问题的研究。

英文摘要:

We discuss the ground state properties of a one-dimensional bosonic system doped with an impurity (the so-called Bose polaron problem). We introduce a formalism that allows us to calculate analytically the thermodynamic zero-temperature properties of this system with weak and moderate boson-boson interaction strengths for any boson-impurity interaction. Our approach is validated by comparing to exact quantum Monte Carlo calculations. In addition, we test the method in finite size systems using numerical results based upon the similarity renormalization group. We argue that the introduced approach provides a simple analytical tool for studies of strongly interacting impurity problems in one dimension.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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