The robustness of entanglement in non-Hermitian cavity optomechanical system even away from exceptional points

• URL: http://arxiv.org/abs/2412.08123v1
• Date: Wed, 11 Dec 2024 06:18:05 GMT
• Title: The robustness of entanglement in non-Hermitian cavity optomechanical system even away from exceptional points
• Authors: Jia-Jia Wang, Yu-Hong He, Chang-Geng Liao, Rong-Xin Chen, Jacob A. Dunningham,
• Abstract summary: Quantum physics can be extended into the complex domain by considering non-Hermitian Hamiltonians that are $mathcalPT$-symmetric. We find that the sudden disappearance of entanglement can be mitigated at EPs (similar to $mathcalPT$-symmetric systems) but also show that the revival of entanglement is quite robust to thermal noise in a group of parameters away from the EPs.
• Score: 2.778721019132512
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• Abstract: Quantum physics can be extended into the complex domain by considering non-Hermitian Hamiltonians that are $\mathcal{PT}$-symmetric. These exhibit exceptional points (EPs) where the eigenspectrum changes from purely real to purely imaginary values and have useful properties enabling applications such as accelerated entanglement generation and the delay of the sudden death of entanglement in noisy systems. An interesting question is whether similar beneficial effects can be achieved away from EPs, since this would extend the available parameter space and make experiments more accessible. We investigate this by considering the more general case of pseudo-Hermitian Hamiltonians where two-mode squeezing interactions are incorporated into a $\mathcal{PT}$-symmetric optomechanical system. The addition of squeezing is motivated by an attempt to extend the lifetime of the system's entanglement. We derive analytic expressions for the entanglement dynamics under noise-free conditions and present numerical simulations that include the effects of noise. Although we find that the two-mode squeezing interactions do not generally preserve the initial entanglement, rich dynamics are observed in both the pseudo-Hermitian and $\mathcal{PT}$-symmetric cases, including the sudden death and revival of entanglement under certain conditions. We find that the sudden disappearance of entanglement can be mitigated at EPs (similar to $\mathcal{PT}$-symmetric systems) but also show that the revival of entanglement is quite robust to thermal noise in a group of parameters away from the EPs. Our study extends our understanding of non-Hermitian systems and opens a new perspective for the development of quantum devices in non-Hermitian systems even away from EPs.

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