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Repeatedly Readable State, Spontaneous Collapse, and Quantum/classical Boundary by Peng, Xiao-Fu; Luo, Yu-Hang; Zhu, Jiang; Hua, Bang-Hui; Chen, Xue-Nan; Lian, Dan-Dan; Chen, Zi-Wei; Chen, Xiang-Song is a scholarly article available to read on EtoBox.

What is Repeatedly Readable State, Spontaneous Collapse, and Quantum/classical Boundary about?

We propose a model to identify the quantum/classical boundary. The model introduces a spontaneous collapse of state superposition: $\frac{d}{dt} \rho_{ij} =-\frac{i}{\hbar}[H,\rho]_{ij}-\rho_{ij}/\tau_{ij}$. Different from other collapse models, the collapsing scale $\tau_{ij}$ here does not contain a universal parameter, but is specified by the two states $| i\rangle $ and $ | j\rangle$: If each state is {\em in principle} repeatedly readable (typically by a QND measurement), then $\tau_{ij}$ is the {\em potentially} needed measuring time to discriminate the two states, and the collapse occurs spontaneously {\em without} any actual monitoring. Otherwise, $\tau_{ij}=\infty$, which means no collapse and everlasting superposition. This happens if one state is not repeatedly readable, or if the two states cannot possibly be discriminated in a particular circumstance (for example in the Rabi oscillation). Detailed analysis shows that for a "trapped Schr{\"o}dinger's cat", the superposition of $|{\rm here} \rangle$ and $| {\rm there} \rangle $ is forbidden if $E D \gg 4\pi \hbar c$, and allowed if $E D \le 4\pi \hbar c$, where $D$ is the trap separation and $ E$ is the energy gap, which

Author

Peng, Xiao-Fu; Luo, Yu-Hang; Zhu, Jiang; Hua, Bang-Hui; Chen, Xue-Nan; Lian, Dan-Dan; Chen, Zi-Wei; Chen, Xiang-Song

Published

2022

Language

EN