...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical Review, A >Universality and tails of long-range interactions in one dimension
【24h】

Universality and tails of long-range interactions in one dimension

机译：一个维度的普遍性和远程相互作用的尾部

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Long-range interactions and, in particular, two-body potentials with power-law long-distance tails are ubiquitous in nature. For two bosons or fermions in one spatial dimension, the latter case being formally equivalent to three-dimensional s-wave scattering, we show how generic asymptotic interaction tails can be accounted for in the long-distance limit of scattering wave functions. This is made possible by introducing a generalization of the collisional phase shifts to include space dependence.We show that this distance dependence is universal, in that it does not depend on short-distance details of the interaction. The energy dependence is also universal, and is fully determined by the asymptotic tails of the two-body potential. As an important application of our findings, we describe how to eliminate finite-size effects with long-range potentials in the calculation of scattering phase shifts from exact diagonalization. We show that even with moderately small system sizes it is possible to accurately extract phase shifts that would otherwise be plagued with finite-size errors. We also consider multichannel scattering, focusing on the estimation of open channel asymptotic interaction strengths via finite-size analysis.
机译：远程相互作用，特别是具有权力 - 法长距离尾部的双体势在本质上无处不在。对于一个空间尺寸中的两个玻色子或阴部，后一种情况与三维S波散射相同，我们示出了如何在散射波函数的远程限制中计算通用渐近相互作用尾。这通过引入碰撞相移的概括来包括空间依赖性来实现。我们认为该距离依赖性是通用的，因为它不依赖于交互的短距离细节。能量依赖性也是普遍的，并且由双体势的渐近尾部完全决定。作为我们的研究结果的重要应用，我们描述了如何在从精确的对角化计算散射相移的计算中消除有限尺寸的效应。我们表明，即使具有中等小的系统尺寸，也可以精确提取相移，否则会困扰有限尺寸的误差。我们还考虑多通道散射，专注于通过有限尺寸分析估计开放通道渐近相互作用强度。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号