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Quantum-circuit black hole lasers
Scientific Reports ( IF 4.6 ) Pub Date : 2021-09-27 , DOI: 10.1038/s41598-021-98456-0
Haruna Katayama 1
Affiliation  

A black hole laser in analogues of gravity amplifies Hawking radiation, which is unlikely to be measured in real black holes, and makes it observable. There have been proposals to realize such black hole lasers in various systems. However, no progress has been made in electric circuits for a long time, despite their many advantages such as high-precision electromagnetic wave detection. Here we propose a black hole laser in Josephson transmission lines incorporating metamaterial elements capable of producing Hawking-pair propagation modes and a Kerr nonlinearity due to the Josephson nonlinear inductance. A single dark soliton obeying the nonlinear Schrödinger equation produces a black hole-white hole horizon pair that acts as a laser cavity through a change in the refractive index due to the Kerr effect. We show that the resulting laser is a squeezed-state laser characterized by squeezing parameters. We also evaluate the degree of quantum correlation between Hawking and its partner radiations using entanglement entropy which does not require simultaneous measurements between them. As a result, the obtained entanglement entropy depending on the soliton velocity provides strong evidence that the resulting laser is derived from Hawking radiation with quantum correlation generated by pair production from the vacuum.



中文翻译:

量子电路黑洞激光器

类似引力的黑洞激光器放大了霍金辐射,这在真正的黑洞中不太可能被测量到,并使其可被观察到。已经有人提议在各种系统中实现这种黑洞激光器。然而,在电路方面没有取得任何进展长期以来,尽管它们具有高精度电磁波检测等诸多优点。在这里,我们提出了约瑟夫森传输线中的黑洞激光器,该激光器包含能够产生霍金对传播模式和由于约瑟夫森非线性电感而产生的克尔非线性的超材料元件。遵循非线性薛定谔方程的单个暗孤子产生黑洞-白洞视界对,通过克尔效应引起的折射率变化充当激光腔。我们表明,由此产生的激光器是一种以挤压参数为特征的挤压态激光器。我们还使用不需要同时测量它们之间的纠缠熵来评估霍金及其伙伴辐射之间的量子相关程度。其结果,

更新日期:2021-09-27
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