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The effect of quantum collapse and revival is a fascinating interference phenomenon. In this paper the phenomenon is demonstrated analytically and numerically for a simple system, a slightly anharmonic Hamiltonian. The initial wave-function…

Quantum Physics · Physics 2017-06-28 Alexandra Bakman , Hagar Veksler , Shmuel Fishman

Wave packet revivals and fractional revivals are striking quantum interference phenomena that can occur under suitable conditions in a system with a nonlinear spectrum. In the framework of a specific model (the propagation of an initially…

Quantum Physics · Physics 2007-05-23 C. Sudheesh , S. Lakshmibala , V. Balakrishnan

We study the evolution of a photonic state in a coupled pair of anharmonic cavities and compare it with the corresponding system of two coupled harmonic cavities. The photons in the anharmonic cavities interact with a two-level atom and are…

Quantum Physics · Physics 2015-06-15 K. Ziegler

In this paper, we develop the notion of the linear atomic quantum coupler. This device consists of two modes propagating into two waveguides, each of them includes a localized and/or a trapped atom. These waveguides are placed close enough…

Quantum Physics · Physics 2015-05-14 Faisal A. A. El-Orany , Wahiddin M. R. B

Radiomics involves the study of tumor images to identify quantitative markers explaining cancer heterogeneity. The predominant approach is to extract hundreds to thousands of image features, including histogram features comprised of…

The Jaynes-Cummings model, with and without the rotating wave approximation, is expressed in the conjugate variable representation and solved numerically by wave packet propagation. Both cases are then cast into systems of two coupled…

Quantum Physics · Physics 2015-05-13 Jonas Larson

We study the quantum dynamics of a two-level system interacting with a quantized harmonic oscillator in the deep strong coupling regime (DSC) of the Jaynes-Cummings model, that is, when the coupling strength g is comparable or larger than…

Quantum Physics · Physics 2010-12-27 J. Casanova , G. Romero , I. Lizuain , J. J. Garcia-Ripoll , E. Solano

The interaction of matter with quantum light leads to phenomena which cannot be explained by semiclassical approaches. Of particular interest are states with broad photon number distributions which allow processes with high-order Fock…

Quantum Physics · Physics 2021-01-13 H. Rose , D. V. Popolitova , O. V. Tikhonova , T. Meier , P. R. Sharapova

We study the intensity-dependent and nonresonant Jaynes-Cummings Hamiltonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion…

Quantum Physics · Physics 2007-05-23 A. N. F. Aleixo , A. B. Balantekin , M. A. Candido Ribeiro

The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantum revivals are characterized by initially…

Quantum Physics · Physics 2009-11-10 R. W. Robinett

In this article we recover the distribution function (and possible density) of an arbitrary random variable that is subject to an additive measurement error. This problem is also known as deconvolution and has a long tradition in…

Statistics Theory · Mathematics 2025-10-07 Henrik Kaiser

Collective phenomena in the Tavis-Cummings model has been widely studied, focusing on the phase transition features. In many occasions, it has been used variational approaches that consider separated radiation-matters systems. In this…

Quantum Physics · Physics 2021-01-19 J. P. Restrepo Cuartas , H. Vinck-Posada

We study the dynamics of an one dimensional array of Jaynes-Cummings-Hubbard system of arbitrary number of coupled cavities, each containing a two level atom that interacts with a field mode. In particular, we consider propagation of a…

Quantum Physics · Physics 2011-03-04 R. Chakrabarti , G. Sreekumari

he effect of the counter-rotating terms in the Jaynes-Cummings model is investigated with an extended coherent-state approach. The counter-rotating terms greatly modify the vacuum Rabi splitting. Two peaks with different heights in the weak…

Quantum Physics · Physics 2013-11-08 Yu-Yu Zhang , Qing-Hu Chen , Shi-Yao Zhu

We consider a generalized Jaynes-Cummings model of a two-level atom interacting with a multimode nondegenerate coherent field. The sum of the mode frequencies is equal to the two-level transition frequency, creating the resonance condition.…

Quantum Physics · Physics 2014-06-24 Himadri Shekhar Dhar , Arpita Chatterjee , Rupamanjari Ghosh

The model describing interaction between two-level atoms and a single mode field in an optical cavity enclosed by a medium with Kerr nonlinearity is considered in our paper. We study the model within the framework of the analytical solution…

Quantum Physics · Physics 2017-07-04 Nikolay Bogoliubov , Igor Ermakov , Andrey Rybin

We study the origin of "frozen" states in coupled Jaynes-Cummings-Hubbard arrays in the presence of losses. For the case of half the array initially populated with photons while the other half is left empty we show the emergence of…

Quantum Physics · Physics 2013-11-08 N. Schetakis , T. Grujic , S. R. Clark , D. Jaksch , D. G. Angelakis

Interference is the mechanism through which waves can be structured into the most fascinating patterns. While for sensing, imaging, trapping, or in fundamental investigations, structured waves play nowadays an important role and are…

We present a mathematical procedure which leads us to obtain analytical solutions for the atomic inversion and Wigner function in the framework of the Jaynes-Cummings model with an external quantum field, for any kinds of cavity and driving…

Quantum Physics · Physics 2008-11-26 Marcelo A. Marchiolli , Ricardo J. Missori , Jose A. Roversi

A quantum state is fully characterized by its density matrix or equivalently by its quasiprobabilities in phase space. A scheme to identify the quasiprobabilities of a quantum state is an important tool in the recent development of quantum…

Quantum Physics · Physics 2018-05-04 Dingshun Lv , Shuoming An , Mark Um , Junhua Zhang , Jing -Ning Zhang , M. S. Kim , Kihwan Kim