论文标题

降低和相干状态

Reduction and Coherent States

论文作者

Rousseva, Jenia, Uribe, Alejandro

论文摘要

我们将尺寸减小的量子版本降低到Bargmann空间中的高斯相干状态,以在复杂的投影空间上获得挤压状态。这导致了一个由符号演算控制的挤压自旋状态的定义,具有出色的半古典特性。我们证明了半经典规范估计和传播结果。

We apply a quantum version of dimensional reduction to Gaussian coherent states in Bargmann space to obtain squeezed states on complex projective spaces. This leads to a definition of a family of squeezed spin states with excellent semi-classical properties, governed by a symbol calculus. We prove semiclassical norm estimates and a propagation result.

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