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arXiv 2011.11295quant-ph
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链映射环境中的激励动力学

Excitation dynamics in chain-mapped environments

Dario Tamascelli

摘要:

结构环境的链映射是模拟开放量子系统动力学的有力工具。一旦环境玻色子或费米子自由度被统一地重新排列成一维结构,密度矩阵重整化群(DMRG)的全部能力就可以被利用。除了导致有效的和数值精确的模拟开放量子系统动力学,链映射提供了一个独特的视角对环境:系统和环境之间的相互作用产生的扰动,沿着一维环境在一个有限的速度,从而提供了一个自然的概念,光,或因果,锥。在这项工作中,我们调查的运输链映射玻色子环境中的激发。特别是,我们探索的环境谱密度的形状,参数和温度之间的关系,以及沿相应的线性链的量子谐振子的激发的动力学。我们的分析揭示了环境演变的基本特征,如本地化,渗流和稳态电流的发生。

英文摘要:

The chain mapping of structured environments is a most powerful tool for the simulation of open quantum system dynamics. Once the environmental bosonic or fermionic degrees of freedom are unitarily rearranged into a one dimensional structure, the full power of Density Matrix Renormalization Group (DMRG) can be exploited. Beside resulting in efficient and numerically exact simulations of open quantum systems dynamics, chain mapping provides an unique perspective on the environment: the interaction between the system and the environment creates perturbations that travel along the one dimensional environment at a finite speed, thus providing a natural notion of light-, or causal-, cone. In this work we investigate the transport of excitations in a chain-mapped bosonic environment. In particular, we explore the relation between the environmental spectral density shape, parameters and temperature, and the dynamics of excitations along the corresponding linear chains of quantum harmonic oscillators. Our analysis unveils fundamental features of the environment evolution, such as localization, percolation and the onset of stationary currents.

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