Related papers: Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry

Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry

URL: http://arxiv.org/abs/2110.13359v4
Date: Sat, 16 Apr 2022 03:27:16 GMT
Title: Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry
Authors: Wei-Chen Wang, Yi Xie, Man-Chao Zhang, Jie Zhang, Chun-Wang Wu, Ting Chen, Bao-Quan Ou, Wei Wu, Ping-Xing Chen
Abstract summary: We establish the correlation between the quantum measurement and Floquet $mathcalPT$-symmetry. We investigate for the first time how the measurement frequency and measurement strength affect the symmetry of the measured system.
Score: 13.34918567451749
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Symmetry, including the parity-time ($\mathcal{PT}$)-symmetry, is a striking topic, widely discussed and employed in many fields. It is well-known that quantum measurement can destroy or disturb quantum systems. However, can and how does quantum measurement destroy the symmetry of the measured system? To answer the pertinent question, we establish the correlation between the quantum measurement and Floquet $\mathcal{PT}$-symmetry and investigate for the first time how the measurement frequency and measurement strength affect the $\mathcal{PT}$-symmetry of the measured system using the $^{40}\mathrm{Ca}^{+}$ ion. It is already shown that the measurement at high frequencies would break the $\mathcal{PT}$ symmetry. Notably, even for an inadequately fast measurement frequency, if the measurement strength is sufficiently strong, the $\mathcal{PT}$ symmetry breaking can occur. The current work can enhance our knowledge of quantum measurement and symmetry and may inspire further research on the effect of quantum measurement on symmetry.

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