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Excitation spectra of strongly correlated ultra-cold dipolar gases from first-principle thermodynamic simulations

第一原理热力学模拟强相关超冷偶极气体的激发光谱

基本信息

批准号：
242159236
负责人：
Privatdozent Dr. Alexei V. Filinov
金额：
--
依托单位：
Lehrstuhl Statistische Physik
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2013
资助国家：
德国
起止时间：
2012-12-31 至 2017-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/242159236?language=en
关键词：
Excitation spectra strongly correlated ultra

项目摘要

Ultracold gases with large dipole moments, such as chromium, erbium, dysprosium and polar molecules are a subject of growing interest, being an example of strongly nonideal Bose systems. Their accurate description has to go beyond the mean-field treatment calling for a microscopic theory. In the current project we develop a numerical approach - a combination of path integral Monte Carlo simulations with a stochastic optimization method. This approach allows for a first-principle reconstruction of the collective excitation spectrum (spectral density) from the imaginary-time correlation functions. We concentrate on a detailed study of the combined effects of temperature, density, damping and quasi-particle decay processes on the collective modes for both, homogeneous and trapped dipolar Bose gases. The approach is then generalized to describe the spectrum of rotating Bose condensates and Bose gases with vortex states. The analysis will be complemented by a comparison with the predictions based on the Bogoliubov, Bogoliubov-de-Gennes and Thomas-Fermi approximations, as well as the sum rule approach involving the frequency-weighted moments. To check our predictions for a set of experimental parameters (including finite temperature), a close collaboration with the experimental group of Prof. S.Ospelkaus (Institute of Quantum Optics, Universität Hannover) is planned.

具有大偶极矩的超冷气体，如铬、铒、镝和极性分子，是一个越来越受关注的主题，是强非理想玻色系统的一个例子。它们的精确描述必须超越要求微观理论的平均场处理。在目前的项目中，我们开发了一种数值方法-路径积分蒙特卡罗模拟与随机优化方法相结合。这种方法允许的第一原理重建的集体激发光谱（光谱密度）的时间相关函数。我们集中在一个详细的研究温度，密度，阻尼和准粒子衰变过程的集体模式的综合影响，均匀和被困的偶极玻色气体。然后，该方法被推广到描述旋转玻色凝聚和玻色气体的涡旋态的光谱。该分析将通过与基于Bogoliubov，Bogoliubov-de-Gennes和Bogoliubov-Fermi近似以及涉及频率加权矩的求和规则方法的预测进行比较来补充。为了检查我们对一组实验参数（包括有限温度）的预测，计划与S.Ospelkaus教授（汉诺威大学量子光学研究所）的实验小组密切合作。