Underlying SUSY in a generalized Jaynes–Cummings model

Maldonado-Villamizar, F. H.; González-Gutiérrez, C.; Villanueva-Vergara, L.; Rodríguez-Lara, B. M.

doi:10.1038/s41598-021-95259-1

Cited by 7 publications

(3 citation statements)

References 52 publications

(55 reference statements)

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“…I D, was further analyzed in [135], while it has also been discussed in terms of generalized JC models (see sec. I E) [136].…”

Section: General Solution and Remarksmentioning

confidence: 97%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

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The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of the emphasis to the omnipresence of the model across a range of disciplines, this monograph brings up the fundamental generality of its formalism, looking at a wide gamut of applications in specific physical systems among several realms, including atomic physics, quantum optics, solid-state physics and quantum information science. When bringing the various pieces together to assemble our narrative, we have primarily targeted researchers in quantum physics and quantum optics. The monograph also comprises an accessible introduction for graduate students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, and quantum many-body physics. In that framework, we aim to reveal the common ground between physics and applications scattered across literature and different technological advancements. The exposition guides the reader through a vibrant field interlacing quantum optics and condensed-matter physics. All sections are devoted to the strong interconnection between theory and experiment, historically linked to the development of the various modern research directions stemming from JC physics. This is accompanied by a comprehensive list of references to the key publications that have shaped its evolution since the early 1960s. Finally, we have endeavoured to keep the presentation of such a multi-sided material as concise as possible, interspersing continuous text with various illustrations alongside an economical use of mathematical expressions.

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“…I D, was further analyzed in [135], while it has also been discussed in terms of generalized JC models (see sec. I E) [136].…”

Section: General Solution and Remarksmentioning

confidence: 97%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…We identify constants of motion that lead to an exact solvability. Similar general models have already been considered and their exact solution is known [36][37][38][39][40][41][42][43]. However, here we are interested in presenting a general approximate solution for initial coherent states with a large mean number of quanta that is especially convenient for analyzing the entanglement in the system as it is expressed in terms of material Bell states and coherent states of the field.…”

Section: Generalized Two-atom Tavis-cummings Modelmentioning

confidence: 99%

“…concurrence can be evaluated in closed form using Eqs. (43) and (44). The calculations are somehow tedious as ζ | ζ1,k = 0; however, one can find that the only two nonzero values of λ i are given by (…”

Section: A Two-atom Entanglementmentioning

confidence: 99%

Entangling operations in nonlinear two-atom Tavis-Cummings models

2021

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We derive an analytical approximate solution of the time-dependent state vector in terms of material Bell states and coherent states of the field for a generalized two-atom Tavis-Cummings model with nonlinear intensity-dependent matter-field interaction. Using this solution, we obtain simple expressions for the atomic concurrence and purity in order to study the entanglement in the system at specific interaction times. We show how to implement entangling atomic operations through measurement of the field. We illustrate how these operations can lead to a complete Bell measurement. Furthermore, when considering two orthogonal states of the field as levels of a third qubit, it is possible to implement a unitary three-qubit gate capable of generating authentic tripartite entangled states such as the Greenberger-Horne-Zeilinger state and the W state. As an example of the generic model, we present an ion-trap setting employing the quantized mode of the center-of-mass motion instead of the photonic field, showing that the implementation of realistic entangling operations from intrinsic nonlinear matter-field interactions is indeed possible.

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Influence of a non-linear interaction and Kerr medium on the emission spectrum and entropy squeezing of Su(1,1) algebra with single qubit

Alotaibi

2022

Results in Physics

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Underlying SUSY in a generalized Jaynes–Cummings model

Cited by 7 publications

References 52 publications

The Jaynes-Cummings model and its descendants

The Jaynes-Cummings model and its descendants

Entangling operations in nonlinear two-atom Tavis-Cummings models

Influence of a non-linear interaction and Kerr medium on the emission spectrum and entropy squeezing of Su(1,1) algebra with single qubit

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