Collapse and revival of $n$-photon coherent states and $n$-photon squeezed coherent states

TL;DR

This paper introduces and analyzes the collapse and revival phenomena of $n$-photon coherent and squeezed coherent states, highlighting how a few extra photons significantly influence their quantum dynamics compared to zero-photon states.

Contribution

The study defines $n$-photon coherent and squeezed states and compares their collapse and revival behaviors with zero-photon states, revealing the impact of additional photons.

Findings

$n$-photon states form a basis of the photon Hilbert space

Extra photons cause notable differences in collapse and revival patterns

$n$-photon squeezed states are of potential interest for quantum information

Abstract

We introduce the set of $n$-photon coherent states and the set of $n$-photon squeezed coherent states and study their collapse and revival and compare their behavior with the collapse and revival of the corresponding zero-photon coherent states and zero-photon squeezed coherent states, respectively. The set of $n$-photon squeezed coherent states ($n=0,1,2,\cdots$) forms a basis of the Hilbert state of photons and may be of some interest. We notice that the presence of a few extra photons in the $n$-photon states as compared to the corresponding zero-photon states makes a large difference in the behavior of their collapse and revival. This indicates the large effect that a few extra photons makes in the $n$-photon states as compared to the corresponding zero-photon states in their collapse and revival.