Weak measurements in non-Hermitian systems

Weak measurements in non-Hermitian systems
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非厄米系统中的弱测量

DOI:
10.1088/1751-8113/45/44/444023
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发表时间:
2012
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
A. Matzkin
A. Matzkin
中科院分区:
--
文献类型:
--
作者:
A. Matzkin

文献摘要

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‘Weak measurements’—involving a weak unitary interaction between a quantum system and a meter followed by a projective measurement—are investigated when the system has a non-Hermitian Hamiltonian. We show in particular how the standard definition of the ‘weak value’ of an observable must be modified. These studies are undertaken in the context of bound-state scattering theory, a non-Hermitian formalism for which the involved Hilbert spaces are unambiguously defined and the metric operators can be explicitly computed. Numerical examples are given for a model system. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Quantum physics with non-Hermitian operators’.