6533b857fe1ef96bd12b3d1c

RESEARCH PRODUCT

Three-mode two-boson Jaynes–Cummings model in trapped ions

Benedetto MilitelloAntonino MessinaAlexander Yu. GalkinA. G. Nikitin

subject

Condensed Matter::Quantum GasesStatistics and ProbabilityPhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciJaynes–Cummings modelsuperposition (mathematics)modesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsQuantum PhysicsSettore FIS/03 - Fisica Della MateriaIonsymbols.namesakeharmonic oscillatorModeling and SimulationQuantum mechanicsQuantum electrodynamicsHomogeneous spacesymbolsHamiltonian (quantum mechanics)Mathematical PhysicsEigenvalues and eigenvectorsBoson

description

In this paper, we analyse a two-boson three-mode Jaynes–Cummings model which can be implemented in the context of trapped ions. The symmetries of the Hamiltonian are brought to light and analysed in detail in order to solve the eigenvalue problem. The calculation of the time evolution operator shows the possibility of realizing interesting applications, such as the generation of nonclassical states.

https://doi.org/10.1088/1751-8113/40/3/012