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arXiv 1508.04744quant-phcond-mat.mes-hall
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Bath诱导相干和久期近似

Bath induced coherence and the secular approximation

P. R. Eastham, P. Kirton, H. M. Cammack, B. W. Lovett, J. Keeling

摘要:

找到环境如何影响离散量子系统集合的有效描述,将为现代物理学的许多领域带来新的见解。马尔可夫,或当地时间,方法工作以及个别系统,但群体的问题出现:系统浴或系统间的耦合主导的耗散动力学?这个答案对系统内的长时间量子关联有着深远的影响。我们考虑两个玻色子模式耦合到一个浴缸。通过比较不同的马尔可夫主方程的精确解,我们发现,一个光滑的交叉的运动方程之间的主导系统间和系统浴耦合存在-但需要一个非长期的主方程。我们预测的奇异行为的动力学,并表明,最终失败的非长期运动方程基本上是失败的马尔可夫近似。我们的研究结果证明了在整个交叉系统浴主导和系统间耦合主导的动态使用的时间局部理论。

英文摘要:

Finding efficient descriptions of how an environment affects a collection of discrete quantum systems would lead to new insights into many areas of modern physics. Markovian, or time-local, methods work well for individual systems, but for groups a question arises: does system-bath or inter-system coupling dominate the dissipative dynamics? The answer has profound consequences for the long-time quantum correlations within the system. We consider two bosonic modes coupled to a bath. By comparing an exact solution to different Markovian master equations, we find that a smooth crossover of the equations-of-motion between dominant inter-system and system-bath coupling exists -- but requires a non-secular master equation. We predict a singular behaviour of the dynamics, and show that the ultimate failure of non-secular equations of motion is essentially a failure of the Markov approximation. Our findings justify the use of time-local theories throughout the crossover between system-bath dominated and inter-system-coupling dominated dynamics.

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