(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose the state of a single-mode cavity field is given at time t=0 by

[tex]

|\Psi(0) \rangle = \frac{1}{\sqrt{2}}(|n \rangle + e^{i\phi}|n+1 \rangle)

[/tex]

where phi is some phase. Find the state [tex]|\psi(t)\rangle[/tex] at times t > 0.

2. Relevant equations

I'm a little confused of what to do with this one, I know that [tex]|n\rangle = \frac{(\hat a^{\dagger})^n}{\sqrt{n!}}|0\rangle[/tex] and think I make have to substitue for the n eigenvalue using that somehow of that somehow and integrate.

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# Homework Help: Time evolution from zero state

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