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词汇 Displacement operator
分类 英语词汇 英语翻译词典
释义

Displacement operator

英语百科

Displacement operator

The displacement operator for one mode in quantum optics is the shift operator

where \alpha is the amount of displacement in optical phase space, \alpha^* is the complex conjugate of that displacement, and \hat{a} and \hat{a}^\dagger are the lowering and raising operators, respectively. The name of this operator is derived from its ability to displace a localized state in phase space by a magnitude \alpha. It may also act on the vacuum state by displacing it into a coherent state. Specifically, \hat{D}(\alpha)|0\rangle=|\alpha\rangle where |\alpha\rangle is a coherent state, which is the eigenstates of the annihilation (lowering) operator.

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