All Questions
Tagged with coherent-states phase-space
6
questions
2
votes
1
answer
174
views
Non-uniqueness of Glauber-Sudarshan $P$-function
For a state $\rho$ acting on single bosonic mode with coherent states $|\alpha\rangle$, one can always define a $P$-function to furnish a diagonal representation of the state in the coherent-state ...
- 5,041
1
vote
0
answers
509
views
What are the Fock-state probabilities of general Gaussian states?
A general (pure) Gaussian state has the form $\newcommand{\on}[1]{\operatorname{#1}}\newcommand{\ket}[1]{\lvert #1\rangle}\ket{\alpha,\xi}\equiv D(\alpha)S(\xi)\ket{\on{vac}}$, with $\ket{\on{vac}}$ ...
- 14.8k
2
votes
1
answer
179
views
Perelomov coherent states for an arbitrary Hamiltonian
I'm reading about Perelomov coherent states, but I'm not sure if I'm getting it right. From this question and some Perelomov papers I understand the following:
The Perelomov coherent states are ...
- 415
0
votes
1
answer
476
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Plotting quadrature uncertainties in phase space
In most books like in the picture given below, the uncertainties regarding quantum states like coherent and squeezed states are represented in phase space plot by some area enclosed within a circle or ...
- 119
4
votes
1
answer
212
views
Example of a quantum-mechanical theory with nontrivial classical limit
I am looking for a toy model example of a well defined quantum-mechanical theory with the following properties:
It can be constructed via canonical quantization starting from some classical theory ...
- 16.2k
2
votes
1
answer
1k
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Can the Wigner function be described using coherent states?
The Wigner function for a wave function $\Psi(\vec{r})$ is
$$
W(\vec{r},\vec{k}) = \frac{1}{2\pi} \int dy e^{-i \vec{k} \cdot \vec{y}} \Psi^{*}(\vec{r}-\vec{y}/2) \Psi(\vec{r}+\vec{y}/2) . \tag{1}
$$
...
- 455