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纠缠[Formula: see text]和反-[Formula: see text]对称偏振光子的动力学和并发性的理论研究。

Theoretical investigation of dynamics and concurrence of entangled [Formula: see text] and anti-[Formula: see text] symmetric polarized photons.

机构信息

eleQtron GmbH, Martinshardt 19, 57074 Siegen, Germany.

Department of Physics, COMSATS University Islamabad, Islamabad, 45550 Pakistan.

出版信息

Sci Rep. 2023 May 26;13(1):8542. doi: 10.1038/s41598-023-34516-x.

DOI:10.1038/s41598-023-34516-x
PMID:37236997
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10220064/
Abstract

Non-Hermitian systems with parity-time [Formula: see text] symmetry and anti-parity-time [Formula: see text] symmetry have exceptional points (EPs) resulting from eigenvector co-coalescence with exceptional properties. In the quantum and classical domains, higher-order EPs for [Formula: see text] symmetry and [Formula: see text]-symmetry systems have been proposed and realized. Both two-qubits [Formula: see text]-[Formula: see text] and [Formula: see text]-[Formula: see text] symmetric systems have seen an increase in recent years, especially in the dynamics of quantum entanglement. However, to our knowledge, neither theoretical nor experimental investigations have been conducted for the dynamics of two-qubits entanglement in the [Formula: see text]-[Formula: see text] symmetric system. We investigate the [Formula: see text]-[Formula: see text] dynamics for the first time. Moreover, we examine the impact of different initial Bell-state conditions on entanglement dynamics in [Formula: see text]-[Formula: see text], [Formula: see text]-[Formula: see text] and [Formula: see text]-[Formula: see text] symmetric systems. Additionally, we conduct a comparative study of entanglement dynamics in the [Formula: see text]-[Formula: see text] symmetrical system, [Formula: see text]-[Formula: see text] symmetrical system, and [Formula: see text]-[Formula: see text] symmetrical systems in order to learn more about non-Hermitian quantum systems and their environments. Entangled qubits evolve in a [Formula: see text]-[Formula: see text] symmetric unbroken regime, the entanglement oscillates with two different oscillation frequencies, and the entanglement is well preserved for a long period of time for the case when non-Hermitian parts of both qubits are taken quite away from the exceptional points.

摘要

具有宇称时间（PT）[Formula: see text]对称和反宇称时间（APT）[Formula: see text]对称的非厄米系统具有特征向量合并的特殊点（EP），具有特殊性质。在量子和经典领域，已经提出并实现了[Formula: see text]对称和[Formula: see text]-对称系统的更高阶 EP。近年来，[Formula: see text]-[Formula: see text]和[Formula: see text]-[Formula: see text]对称系统的两个qubit 都得到了增加，尤其是在量子纠缠动力学方面。然而，据我们所知，无论是理论还是实验，都没有对[Formula: see text]-[Formula: see text]对称系统中两个qubit 纠缠的动力学进行研究。我们首次研究了[Formula: see text]-[Formula: see text]动力学。此外，我们研究了不同初始贝尔态条件对[Formula: see text]-[Formula: see text]、[Formula: see text]-[Formula: see text]和[Formula: see text]-[Formula: see text]对称系统中纠缠动力学的影响。此外，我们还对[Formula: see text]-[Formula: see text]对称系统、[Formula: see text]-[Formula: see text]对称系统和[Formula: see text]-[Formula: see text]对称系统中的纠缠动力学进行了比较研究，以便更多地了解非厄米量子系统及其环境。在[Formula: see text]-[Formula: see text]对称未破坏的情况下，纠缠的量子比特会演化，纠缠会以两个不同的振荡频率振荡，并且当两个量子比特的非厄米部分都远离特殊点时，纠缠会在很长一段时间内得到很好的保护。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/e177fd52388b/41598_2023_34516_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/c920a15767e3/41598_2023_34516_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/3a7b750fd42e/41598_2023_34516_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/850027d26e1c/41598_2023_34516_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/72e74d63b3a0/41598_2023_34516_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/e177fd52388b/41598_2023_34516_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/c920a15767e3/41598_2023_34516_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/3a7b750fd42e/41598_2023_34516_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/850027d26e1c/41598_2023_34516_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/72e74d63b3a0/41598_2023_34516_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a523/10220064/e177fd52388b/41598_2023_34516_Fig5_HTML.jpg

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