Symplectic circuits, entanglement, and stimulated Hawking radiation in analogue gravity
Symplectic circuits, entanglement, and stimulated Hawking radiation in analogue gravity
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DOI：
10.1103/physrevd.106.105021
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发表时间：
2022-09
影响因子：
5
通讯作者：
Anthony J. Brady;I. Agulló;Dimitrios Kranas
中科院分区：
文献类型：
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作者：
Anthony J. Brady;I. Agulló;Dimitrios Kranas
我们引入了一套方便的分析工具（高斯形式化）和图（辛-模电路）来分析模拟重力中的多模散射事件，如黑洞和白洞模拟事件视界的对产生和l ' a Hawking。这些图被证明是对散射动力学的有价值的分析，特别是在直接分析结果不直接而必须依靠数值模拟的情况下。我们使用这些工具来研究单视界和多视界场景下的纠缠产生，特别是当霍金过程受到经典（如热噪声）和非经典（如单模压缩真空）输入状态的刺激时，例如，证明初始压缩可以增强纠缠的产生，并克服初始热波动对输出纠缠的有害影响。为了进一步接触实际问题，我们研究了衰减如何降低霍金对之间的量子相关性。我们采用的技术通常适用于（高斯）玻色子量子系统的模拟重力设置，例如在光学类似物和玻色-爱因斯坦凝聚物中产生的模拟视界，并且应该在这些领域具有很大的实用性。我们通过将这些技术应用于包含一对白黑洞模拟的光学系统来证明这些技术的适用性，扩展了我们之前对[物理学]的分析。生物工程学报，2002,12(4):481 - 481。
We introduce a convenient set of analytical tools (the Gaussian formalism) and diagrams (sym-plectic circuits) to analyze multi-mode scattering events in analog gravity, such as pair-creation a l´a Hawking by black hole and white hole analog event horizons. The diagrams prove to be valuable ansatzes for the scattering dynamics, especially in settings where direct analytic results are not straightforward and one must instead rely on numerical simulations. We use these tools to investigate entanglement generation in single- and multi-horizon scenarios, in particular when the Hawking process is stimulated with classical (e.g., thermal noise) and non-classical (e.g., single-mode squeezed vacuum) input states—demonstrating, for instance, that initial squeezing can enhance the production of entanglement and overcome the deleterious effects that initial thermal fluctuations have on the output entanglement. To make further contact with practical matters, we examine how attenuation degrades quantum correlations between Hawking pairs. The techniques that we employ are generally applicable to analog gravity setups of (Gaussian) bosonic quantum systems, such as analog horizons produced in optical analogs and in Bose-Einstein condensates, and should be of great utility in these domains. We show the applicability of these techniques by putting them in action for an optical system containing a pair white-black hole analog, extending our previous analysis of [Phys. Rev. Lett. 128 , 091301 (2022)].