Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview o...

Full description

Saved in:
Bibliographic Details
Main Authors: Ivan A. Bocanegra-Garay, Miguel Castillo-Celeita, J. Negro, L. M. Nieto, Fernando J. Gómez-Ruiz
Format: Article
Language:English
Published: American Physical Society 2024-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.043218
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850143973155274752
author Ivan A. Bocanegra-Garay
Miguel Castillo-Celeita
J. Negro
L. M. Nieto
Fernando J. Gómez-Ruiz
author_facet Ivan A. Bocanegra-Garay
Miguel Castillo-Celeita
J. Negro
L. M. Nieto
Fernando J. Gómez-Ruiz
author_sort Ivan A. Bocanegra-Garay
collection DOAJ
description The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated.
format Article
id doaj-art-2d88c21da34e4d9bac85c4eab7ca0a4e
institution OA Journals
issn 2643-1564
language English
publishDate 2024-11-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-2d88c21da34e4d9bac85c4eab7ca0a4e2025-08-20T02:28:32ZengAmerican Physical SocietyPhysical Review Research2643-15642024-11-016404321810.1103/PhysRevResearch.6.043218Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings modelsIvan A. Bocanegra-GarayMiguel Castillo-CeleitaJ. NegroL. M. NietoFernando J. Gómez-RuizThe supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated.http://doi.org/10.1103/PhysRevResearch.6.043218
spellingShingle Ivan A. Bocanegra-Garay
Miguel Castillo-Celeita
J. Negro
L. M. Nieto
Fernando J. Gómez-Ruiz
Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models
Physical Review Research
title Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models
title_full Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models
title_fullStr Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models
title_full_unstemmed Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models
title_short Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models
title_sort exploring supersymmetry interchangeability between jaynes cummings and anti jaynes cummings models
url http://doi.org/10.1103/PhysRevResearch.6.043218
work_keys_str_mv AT ivanabocanegragaray exploringsupersymmetryinterchangeabilitybetweenjaynescummingsandantijaynescummingsmodels
AT miguelcastilloceleita exploringsupersymmetryinterchangeabilitybetweenjaynescummingsandantijaynescummingsmodels
AT jnegro exploringsupersymmetryinterchangeabilitybetweenjaynescummingsandantijaynescummingsmodels
AT lmnieto exploringsupersymmetryinterchangeabilitybetweenjaynescummingsandantijaynescummingsmodels
AT fernandojgomezruiz exploringsupersymmetryinterchangeabilitybetweenjaynescummingsandantijaynescummingsmodels