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We formulate a universal method for solving an arbitrary quantum system which, in the Bargmann representation, is described by a system of linear equations with one independent variable, such as one- and multi-photon Rabi models, or $N$…

Mathematical Physics · Physics 2014-11-03 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

In a previous paper, we have already considered the system composed by a two level atom interacting with a coherent external electromagnetic field. No application whatsoever has been made of the rotating wave approximation. Being specially…

Quantum Physics · Physics 2009-11-07 J. D. Lejarreta , J. M. Cervero

We study the classical dynamics of many interacting particles in a periodically driven one-dimensional (1D) system. We show that under the rotating wave approximation (RWA), a short-distance 1D interaction ($\delta$ function or hard-core…

Quantum Physics · Physics 2016-05-24 Lingzhen Guo , Modan Liu , Michael Marthaler

Quantum systems driven by strong oscillating fields are the source of many interesting physical phenomena. In this work, we experimentally study the dynamics of a two-level system of a single spin driven in the strong-driving regime where…

Quantum Physics · Physics 2017-05-12 K. Rama Koteswara Rao , Dieter Suter

The $\mathcal{PT}$ symmetric semiclassical Rabi model explores the fundamental interaction between a two-level atom and a classical field, revealing novel phenomena in open systems through the inclusion of non-Hermitian terms. We propose a…

Quantum Physics · Physics 2025-04-08 Yibo Liu , Liwei Duan , Qing-Hu Chen

We consider the problem of two-level system dynamics induced by the time-dependent field B={a(t)cos\omega t,a(t)sin\omega t,\omega_0}, with a(t) \sim cn(\nu t,k). The problem is exactly analytically solvable and we propose the scheme for…

Mathematical Physics · Physics 2011-12-13 Yu. V. Bezvershenko , P. I. Holod

We compare the semiclassical and quantum predictions for the unitary dynamics of a two-level atom interacting with a single-mode electromagnetic field in the presence of parametric modulation of the atomic parameters, in the regime of…

Quantum Physics · Physics 2025-09-17 M V S de Paula , M A Damasceno Faustino , A V Dodonov

The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$. It is shown here that the spectrum of the Rabi model coincides with the…

Quantum Physics · Physics 2013-12-03 Alexander Moroz

Motivated by the recent experiment of p-wave interacting $^{40}\mathrm{K}$ atom gases in a deep optical lattice, we investigated the Rabi oscillation for any partial wave interacting quantum gases in a deep optical lattice. We first review…

Quantum Gases · Physics 2024-06-05 Zeqing Wang , Ran Qi

This chapter deals with atom-wall interaction occurring in the "long-range" regime (typical distances: 1-1000 nm), when the electromagnetic fluctuations of an isolated atom are modified by the vicinity with a surface. Various regimes of…

Atomic Physics · Physics 2007-05-23 Daniel Bloch , Martial Ducloy

The quantum Rabi model describes the interaction between a two-level quantum system and a single bosonic mode. We propose a method to perform a quantum simulation of the quantum Rabi model introducing a novel implementation of the two-level…

The familiar Rabi model, comprising a two-level system coupled to a quantum harmonic oscillator, continues to produce rich and surprising physics when the coupling strength becomes comparable to the individual subsystem frequencies. We…

Quantum Physics · Physics 2014-02-26 E. K. Irish , J. Gea-Banacloche

A two-level atom interacting with a single radiation mode is considered, without the rotating-wave approximation, in the strong coupling regime. It is shown that, in agreement with the recent results on Rabi oscillations in a Josephson…

Quantum Physics · Physics 2009-11-07 Marco Frasca

Generalized squeezing rotating-wave approximation (GSRWA) is proposed by employing both the displacement and the squeezing transformations. A solvable Hamiltonian is reformulated in the same form as the ordinary RWA ones. For a qubit…

Quantum Physics · Physics 2016-12-21 Yu-Yu Zhang

In this paper we propose a Hamiltonian of the n-level system by making use of generalized Pauli matrices.

Quantum Physics · Physics 2007-05-23 Kazuyuki Fujii

We propose free-electron Rabi oscillation by creating an isolated two-level system in a synthetic energy space induced by laser. The {\pi}/2-pulse and {\pi}-pulse in synthetic Rabi dynamics can function as 'beam splitters' and 'mirrors' for…

Quantum Physics · Physics 2023-04-25 Yiming Pan , Bin Zhang , Daniel Podolsky

Rabi oscillations of a two-level atom appear as a quantum interference effect between the amplitudes associated to atomic superpositions, in analogy with the classic double-slit experiment which manifests a sinusoidal interference pattern.…

We use time-domain numerical simulations of a two-dimensional (2D) scattering system to study the interaction of a collection of emitters resonantly coupled to an Anderson-localized mode. For a small electric field intensity, we observe the…

The energy spectrum of a system of $N_a$ atoms of $n$ levels interacting with a one-mode electromagnetic field is studied in the dipole and rotating wave approximations. We find that, under the resonant condition, it exhibits a mirror…

Quantum Physics · Physics 2014-03-18 S. Cordero , O. Castaños , R. López--Peña , E. Nahmad--Achar

In the present article, we consider the so-called two-spin equation that describes four-level quantum systems. Recently, these systems attract attention due to their relation to the problem of quantum computation. We study general…

Quantum Physics · Physics 2008-11-26 V. G. Bagrov , M. C. Baldiotti , D. M. Gitman , A. D. Levin
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