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Unlocking Novel Quantum States: Virasoro-Bogoliubov Transformations in Two Modes

Quantum Physics 2023-12-13 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

This paper explores the Bogoliubov transformation's extension to two-mode squeezed states, building on our previous work with Virasoro-squeezing. We establish the Virasoro-Bogoliubov transformation as a non-linear extension of the traditional Bogoliubov transformation, creating non-linear two-mode squeezed states. This research unveils novel quantum states with the potential for innovative insights in various fields of quantum physics.

Cite

@article{arxiv.2312.07247,
  title  = {Unlocking Novel Quantum States: Virasoro-Bogoliubov Transformations in Two Modes},
  author = {So Katagiri},
  journal= {arXiv preprint arXiv:2312.07247},
  year   = {2023}
}

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10 pages