# Questions tagged [coherent-states]

The specific quantum state of the quantum harmonic oscillator, often described as a state which has dynamics most closely resembling the oscillatory behavior of a classical harmonic oscillator. It obeys the minimal uncertainty relation in Heisenberg's uncertainty relationship.

223 questions
Filter by
Sorted by
Tagged with
20 views

### What is the state vector of a displaced (single-mode) squeezed vacuum state in the quadrature basis?

I've been hunting through the quantum optics literature for the displaced squeezed state written in the $q$-quadrature basis ($p$-quad would be fine too, since it's just a Fourier transform), but it ...
1 vote
59 views

### Phase distribution of coherent states

I am studying the phase distribution for coherent states, as is defined in quantum optics. (See, for example, Introductory Quantum Optics by Gerry and Knight, pages 46–48). In this situation, we seek ...
42 views

174 views

### What defines "minimal coherence" as a condition for the emergence of stationary interference in a chaotic wave field?

Consider the following observations: A superposition of two electromagnetic waves with different frequencies will never produce visible interference patterns. Such waveforms will produce ...
96 views

### Advantage of coherent path integral

I think(?) I am quite familiar with path integral over phase space, but not familiar with the coherent state path integral. What is the advantage of this coherent path integral besides the usual path ...
1 vote
47 views

102 views

### Evolution of Quantum Harmonic Oscillator into coherent state

Why does a quantum harmonic oscillator that is driven by an electromagnetic wave in cosine form with its frequency equal to the resonance frequency of the oscillator evolve from its groundstate into a ...
64 views

1 vote
116 views

### Master equation with a coherent bath

When we consider an oscillator $a$ acting with a bath of oscillators $b_i$ with the interaction Hamiltonian reads $$H_{int}=\sum_{i}g_ia b_i^{\dagger}+g_i^*a^{\dagger}b_i,$$ with the free Hamiltonian: ...
432 views

100 views

### If I split coherent state light in half (by a beam splitter) are the 2 output intensities correlated?

From what I have been told and understand, if I use a simple beamsplitter to split coherent state light, I will obtain 2 coherent states as a result. Are the intensities of these two output states ...
47 views

### References on coherent states

I've begun my Master degree final work and I was asked to study in details coherent states. The goal is to apply them to a QFT formalism for a scalar potential effectively decribing the weak field ...
In quantum field theory, we have the following expansion on a scalar field (I follow the convention of Schwarz's book) $$\phi(\vec{x},t)=\int d^3 p \frac{a_p exp(-ip_\mu x^\mu)+a_p^{\dagger}exp(ip_\mu ... 1 vote 0 answers 118 views ### What is the meaning of the time evolution of a product of coherent states of the QHO? I am trying to analyze the dynamics of a coupled quantum harmonic oscillator (cQHO) system. The Hamiltonian of the system is given by: \begin{equation} \hat{H}_{Coupled}=\frac{1}{2m}\sum_{j}\hat{p}_{j}... 0 votes 0 answers 60 views ### What does "Coherent" mean in coherent spectroscopy? I find this on wiki: "Coherent or resonance spectroscopy are techniques where the radiative energy couples two quantum states of the material in a coherent interaction that is sustained by the ... 2 votes 0 answers 50 views ### Off-diagonal elements of density matrix in three-level system given is a three-level system, let's say an atom with three possible states 1 being the lowest and 3 the highest (E_1<E_2<E_3), where$$ \Psi(t)= C_1(t)|1\rangle+C_2(t)|2\rangle+C_3(t)|3\...
Such a density operator $\hat{\rho}$ match with a Wigner function in coherent space: $$W(\alpha,\alpha^{*})$$ $\alpha$ and $\alpha^{*}$ are $C-number$ ( $\alpha^{*}$ denotes complex conjugate of \$\...