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The coherent interaction between matter and radiation - A tutorial on the Jaynes-Cummings model

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abstract

The Jaynes-Cummings (JC) model is a milestone in the theory of coherent interaction between a two-level system and a single bosonic field mode. This tutorial aims to give a complete description of the model, analyzing the Hamiltonian of the system, its eigenvalues and eigestates, in order to characterize the dynamics of system and subsystems. The Rabi oscillations, together with the collapse and revival effects, are distinguishing features of the JC model and are important for applications in Quantum Information theory. The framework of cavity quantum electrodynamics (cQED) is chosen and two fundamental experiments on the coherent interaction between Rydberg atoms and a single cavity field mode are described.

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2025 1

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CONDITIONAL 1

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1D Cluster State Generation On Superconducting Hardware

quant-ph · 2025-08-29 · conditional · novelty 3.0

A 4-qubit linear cluster state forms under a tuned Ising-type Hamiltonian at revival times t = (2n+1)π/g, and simulations show T2 dephasing degrades its fidelity faster than T1 relaxation.

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  • 1D Cluster State Generation On Superconducting Hardware quant-ph · 2025-08-29 · conditional · none · ref 183 · internal anchor

    A 4-qubit linear cluster state forms under a tuned Ising-type Hamiltonian at revival times t = (2n+1)π/g, and simulations show T2 dephasing degrades its fidelity faster than T1 relaxation.