Questions tagged [rabi-model]

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Spin precession for Rabi oscillations : interpretation with magnetic field in rotating frame

The model considered Consider an atom modeled by a two level system of energy $\hbar \omega$. We assume this atom is interacting with an electric field through electric-dipole interaction. The full ...
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2answers
70 views

When one can reduce the Hilbert space in Jaynes-Cummings Model?

I found that : $[N,H] = 0$ , With $N=|e><e|+a^+a$ is the number of excitations and $H$ is the Hamiltonian of Jaynes-Cummings. and i want to describe the dynamics of the system(atom of two ...
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4answers
76 views

Why we neglect the $\hbar ω/2$ in the Hamiltonian of the the Electromagnetic Field?

After the quantization of the electric and the magnetic field, we get the Hamiltonian of the electromagnetic field: $$H= \hbar ω(a^{\dagger}a +1/2) .$$ with $\hbar$ the planck constant and $a^{\...
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1answer
54 views

Two different expressions for Rabi Frequency (on resonance)

I've been searching through several articles and books and I found two different expressions for the Rabi Frequency on the semiclassical rotating-wave approximation, and they are different by a factor ...
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2answers
435 views

Two Level Atom Rotating Frame

Introduction I am trying to work out the Rabi problem. In particular I am trying to work it out from a perspective focusing on the operators rather than the kets. Think Heisenberg picture rather than ...
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1answer
65 views

How does “coherence” contribute to inverting a two-level system?

In laser physics I am told that inverting a two-level system is not possible, since it will become transparent once the inversion reaches 50% and no longer be able to absorb more photons. This makes ...
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1answer
146 views

Calculating the Rabi frequency of a pulse

If I apply a $\frac{π}{2}$ pulse of linewidth 5MHz centred at 99MHz to a nuclear spin also centred at 99MHz, is there a way to calculate a Rabi frequency of this interaction? I realise the Rabi ...
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0answers
309 views

Off-resonant Rabi oscillations

If I have a laser field that causes Rabi oscillation of a two-level system, I can use the Hamiltonian $H=-\frac{\Delta}{2}\sigma_z+\frac{\Omega}{2}\sigma_x$ where $\Omega$ is the Rabi frequency of ...
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1answer
138 views

Setting up differential equations for two-level Rabi problem

I try to follow the derivation of Rabi two-level problem but I went into trouble when attempting to set up the equations as many notes have suggested. Using the book (Laser cooling and trapping by ...
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0answers
135 views

Is the total number of excitation conserved with Rabi Hamiltonian?

From quantum optics textbooks, I have learned about Jaynes-Cummings Hamiltonian for a description of atom and field interaction, as an approximated model under the so-called rotating wave ...
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1answer
170 views

Violation of energy conservation by counter-rotating terms in Rabi model for atom-field interaction

When we describe the interaction between two-level atom and single-mode electromagnetic field in quantum optics, we have the so-called Rabi-model before the rotating-wave approximation, by which the ...
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2answers
645 views

General Two-State Systems and Rabi Oscillations

I've been working on this for quite a while now and can't seem to figure it out. I am concerned with the dynamics of a general two-state system, specifically the case of a particle in a constant ...
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2answers
362 views

How do Rabi oscillations act on the relative phase of state kets

Suppose we have a system with a lower state $\left|{\downarrow}\right\rangle$ and and upper state $\left|{\uparrow}\right\rangle$, coupled by a pulsed electromagnetic field. I thought that from an ...
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2answers
213 views

How many photons are absorbed during Rabi oscillations?

In my understanding, Rabi oscillations are derived using the classical approximation for the electromagnetic field. I don't get how this picture fits with a quantized EM field though. Say you excite a ...
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1answer
207 views

Deriving Rabi rotation matrix

I want to understand where the matrix: $$ \left|\psi(t)\right> = \binom{a(t)}{b(t)} = \begin{bmatrix} cos(\Omega t/2)&-ie^{i\phi_L t}sin(\Omega t/2) \\ -ie^{-i\phi_L t}sin(\Omega t/2) & ...
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1answer
3k views

What are the “strong”, “ultrastrong” and “deep strong” coupling regimes of the Rabi model?

The Rabi model describes a two-level system interacting via a linear coupling with a quantized harmonic oscillator, and it is described by the hamiltonian $$ H_{\rm{Rabi}}=\hbar\omega\, a^\dagger a +\...