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首页> 外文期刊>Physica, B. Condensed Matter >Time reversal mirror and perfect inverse filter in a microscopic model for sound propagation
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Time reversal mirror and perfect inverse filter in a microscopic model for sound propagation

机译:时间反转镜和完善的逆滤波器在微观模型中进行声音传播

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摘要

Time reversal of quantum dynamics can be achieved by a global change of the Hamiltonian sign (a hasty Loschmidt daemon), as in the Loschmidt Echo experiments in NMR, or by a local but persistent procedure (a stubborn daemon) as in the time reversal mirror (TRM) used in ultrasound acoustics. While the first is limited by chaos and disorder, the last procedure seems to benefit from it. As a first step to quantify such stability we develop a procedure, the perfect inverse filter (PIF), that accounts for memory effects, and we apply it to a system of coupled oscillators. In order to ensure a numerical many-body dynamics intrinsically reversible, we develop an algorithm, the pair partitioning, based on the Trotter strategy used for quantum dynamics. We analyze situations where the PIF gives substantial improvements over the TRM. (C) 2007 Elsevier B.V. All rights reserved.
机译:可以通过全局改变汉密尔顿符号(仓促的Loschmidt守护程序)来实现量子动力学的时间反转(如NMR中的Loschmidt Echo实验),或者通过时间反转镜像中的局部但持久的过程(顽固的守护程序)来实现。 (TRM)用于超声声学。虽然第一个程序受混乱和混乱的限制,但最后一个程序似乎可以从中受益。作为量化这种稳定性的第一步,我们开发了一种程序,即考虑了记忆效应的完美逆滤波器(PIF),并将其应用于耦合振荡器系统。为了确保数值多体动力学本质上可逆,我们基于用于量子动力学的Trotter策略,开发了一种算法,即配对划分。我们分析了PIF与TRM相比有实质性改进的情况。 (C)2007 Elsevier B.V.保留所有权利。

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