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0 votes
1 answer
74 views

Applying a phase shift to a coherent state vs a phase-space rotation (Mach-Zhender)

I'm having some trouble with the physical implementation of a phase vs rotation in phase-space for a coherent state. Say I have a laser pulse which yields a coherent state $|\alpha\rangle$, I then put ...
TTa's user avatar
  • 53
0 votes
0 answers
97 views

What does "Coherent" mean in coherent spectroscopy?

I find this on wiki: "Coherent or resonance spectroscopy are techniques where the radiative energy couples two quantum states of the material in a coherent interaction that is sustained by the ...
Chris Bohr's user avatar
15 votes
2 answers
876 views

Countable basis of coherent states used to express coherent states

Let $|\alpha \rangle$ be coherent state in Fock space. According to the paper "Coherent-state representation for the photon density operator" by Cahill (Phys. Rev. 138, B1566 (1965), §VII), every ...
yasalami's user avatar
  • 487
2 votes
0 answers
50 views

Diagonalisation of quasi-thermal state

I have the following density operator $$\frac{1}{t \pi N} \int_{\mathbb{C}} \mathrm{d}^2\gamma \exp \left[ -\frac{|\gamma+r\alpha|^2}{t^2 N} \right] |{\gamma}\rangle\langle{\gamma}|,$$ where $0\leq t,...
aromaboy2002's user avatar
4 votes
2 answers
815 views

Can we derive the classical beam-splitter theory from the quantum beam-splitter Fock state picture?

A classical beam splitter divides incoming light into two parts according to the reflection and transmission coefficients. A quantum beam splitter on the other hand, can be modelled using Fock states,...
cobra121's user avatar
  • 397
13 votes
3 answers
3k views

Is the vacuum state a coherent state?

I'm asking because I got introduced to the state $|0\rangle$ as a fock-state. Nevertheless: $$ \hat{a} |0\rangle = 0 |0 \rangle $$ It is an eigenstate of $\hat{a}$ with eigenvalue $0$, and it can be ...
Quantumwhisp's user avatar
  • 6,763