JAYNES-CUMMINGS MODEL WITH INTENSITY-INDEPENDENT INTERACTION VIA THE PHASE OPERATORS

We introduce a new version of the JC-Model using the (non-Hermitian) phase operators [Formula: see text] in the interaction Hamiltonian, which becomes independent of the excitation number or the field intensity, thus being able to describe properties of the atom in the saturation regime. We employ the “dressed-states” formalism to find an exact solution for our system. As applications we investigate the occurrence of nonclassical effects in the field (squeezing and sub-Poissonian statistics) and in the atom (collapses and revivals of Rabi oscillations and population trapping).

Download Full-text

Jaynes–Cummings Model with Intensity Independent Interaction and Initial Field in the Binomial State

Modern Physics Letters B ◽

10.1142/s0217984997000050 ◽

1997 ◽

Vol 11 (01) ◽

pp. 25-34

Author(s):

B. Baseia ◽

G. C. Marques ◽

S. B. Duarte ◽

A. L. De Brito

Keyword(s):

Exact Solution ◽

Coherent State ◽

Field Intensity ◽

Initial Field ◽

Present Treatment ◽

Binomial State ◽

Population Trapping ◽

Poissonian Statistics ◽

Excitation Number

Recently, we introduced a new version of the Jaynes–Cummings model in which the interaction Hamiltonian is independent of the excitation number, or field intensity. Exact solution for this model was found allowing the study of nonclassical effects exhibited by the atom and the field, the latter initially in a coherent state. Here, we extend this study to the case of a field initially in the binomial state to investigate those nonclassical effects, as population trapping and sub-Poissonian statistics as function of the interpolating parameters of this state. The previous results are obtained from the present treatment, in the limit of a coherent state allowed by the binomial state.

Download Full-text

Rabi oscillations in gravitational fields: Exact solution

Physics Letters A ◽

10.1016/0375-9601(95)00402-o ◽

1995 ◽

Vol 203 (2-3) ◽

pp. 59-67 ◽

Cited By ~ 43

Author(s):

Claus Lämmerzahl ◽

Christian J. Bordé

Keyword(s):

Exact Solution ◽

Rabi Oscillations ◽

Gravitational Fields

Download Full-text

Coexisting spin and Rabi oscillations at intermediate time regimes in electron transport through a photon cavity

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.10.61 ◽

2019 ◽

Vol 10 ◽

pp. 606-616 ◽

Cited By ~ 6

Author(s):

Vidar Gudmundsson ◽

Hallmann Gestsson ◽

Nzar Rauf Abdullah ◽

Chi-Shung Tang ◽

Andrei Manolescu ◽

...

Keyword(s):

Rabi Oscillation ◽

Photon Number ◽

Far Infrared ◽

Transverse Magnetic ◽

Double Quantum ◽

Rabi Oscillations ◽

Dressed States ◽

Transient Source ◽

Intermediate Time ◽

Dependent Transport

In this work, we theoretically model the time-dependent transport through an asymmetric double quantum dot etched in a two-dimensional wire embedded in a far-infrared (FIR) photon cavity. For the transient and the intermediate time regimes, the current and the average photon number are calculated by solving a Markovian master equation in the dressed-states picture, with the Coulomb interaction also taken into account. We predict that in the presence of a transverse magnetic field the interdot Rabi oscillations appearing in the intermediate and transient regime coexist with slower non-equilibrium fluctuations in the occupation of states for opposite spin orientation. The interdot Rabi oscillation induces charge oscillations across the system and a phase difference between the transient source and drain currents. We point out a difference between the steady-state correlation functions in the Coulomb blocking and the photon-assisted transport regimes.

Download Full-text

Sub-Poissonian statistics, population inversion and entropy squeezing of two two-level atoms interacting with a single-mode binomial field: intensity-dependent coupling regime

Optics Communications ◽

10.1016/j.optcom.2013.12.056 ◽

2014 ◽

Vol 319 ◽

pp. 121-127 ◽

Cited By ~ 26

Author(s):

H. Hekmatara ◽

M.K. Tavassoly

Keyword(s):

Field Intensity ◽

Population Inversion ◽

Single Mode ◽

Entropy Squeezing ◽

Poissonian Statistics ◽

Intensity Dependent Coupling

Download Full-text

Rabi oscillations in gravitational fields: Exact solution via path integral

The European Physical Journal C ◽

10.1007/s10052-002-0984-0 ◽

2002 ◽

Vol 25 (2) ◽

pp. 333-338 ◽

Cited By ~ 8

Author(s):

M. Aouachria ◽

L. Chetouani

Keyword(s):

Exact Solution ◽

Path Integral ◽

Rabi Oscillations ◽

Gravitational Fields

Download Full-text

Fluorescence Spectrum of an Atom Interacting with a Quantized Cavity Field with Arbitrary Nonlinearities

International Journal of Nanoscience ◽

10.1142/s0219581x03001127 ◽

2003 ◽

Vol 02 (01n02) ◽

pp. 49-63 ◽

Cited By ~ 1

Author(s):

Mahmoud Abdel-Aty ◽

Tarek M. El-Shahat ◽

Abdel-Shafy F. Obada

Keyword(s):

Fluorescence Spectrum ◽

Coherent States ◽

Single Mode ◽

Analytic Form ◽

Cavity Field ◽

Field Coupling ◽

Field System ◽

Mode Field ◽

Dressed States ◽

Jc Model

We present a detailed theory of a general formalism of a nonlinear JC-model. In particular we explicitly take into account forms of nonlinearities of both the field and the intensity-dependent atom-field coupling and study the properties of the fluorescence spectrum in this system. The exact solution for time-dependence of the atom-field system is obtained, by means of which we analyze the analytic form of the fluorescence spectrum produced by an atom in an ideal cavity using the transitions among the dressed states of the system. We investigate the influences of the nonlinearities on the fluorescence spectrum, for initial squeezed, thermal and coherent states. It is shown that features of the fluorescence spectrum are significantly influenced by the kinds of nonlinearities of the single-mode field.

Download Full-text

ENTROPY GROWTH AND DEGRADATION OF ENTANGLEMENT DUE TO DAMPING OF THE ATOMIC DECAY IN THE JC MODEL

International Journal of Modern Physics B ◽

10.1142/s021797920804884x ◽

2008 ◽

Vol 22 (23) ◽

pp. 4017-4025 ◽

Cited By ~ 1

Author(s):

H. A. HESSIAN

Keyword(s):

Exact Solution ◽

Temporal Evolution ◽

Single Mode ◽

Total Entropy ◽

High Q ◽

Negative Eigenvalues ◽

Level Atom ◽

Jc Model ◽

Entropy Growth ◽

Degree Of Entanglement

In this presentation, we considered the atomic decay (but not for the cavity) for a two-level atom interacting with a single mode of electromagnetic field. The exact solution of the master equation in the case of a high-Q cavity with atomic decay is found. The effects of the atomic damping for a thermal reservoir on the temporal evolution of partial entropies of the atom or the field, and the total entropy as a quantitative entanglement, was measured. The degree of entanglement, through the sum of the negative eigenvalues of the partially transposed density matrix and the negative mutual information, has been studied and compared with other measures.

Download Full-text