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arXiv · 1809.09918

Simulating broken $\cal PT$-symmetric Hamiltonian systems by weak measurement

Minyi Huang·Ray-Kuang Lee·Lijian Zhang·Shao-Ming Fei·Junde Wu
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Abstract

By embedding a $\cal PT$-symmetric (pseudo-Hermitian) system into a large Hermitian one, we disclose the relations between $\cal{PT}$-symmetric Hamiltonians and weak measurement theory. We show that the amplification effect in weak measurement on a conventional quantum system can be used to effectively simulate a local broken $\cal PT$-symmetric Hamiltonian system, with the pre-selected state in the $\cal PT$-symmetric Hamiltonian system and its post-selected state resident in the dilated Hamiltonian system.

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Minyi Huang, Ray-Kuang Lee, Lijian Zhang, Shao-Ming Fei, Junde Wu. 2018-09-26. Simulating broken $\cal PT$-symmetric Hamiltonian systems by weak measurement. https://doi.org/10.1103/physrevlett.123.080404

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