On the Interaction Between a Time-Dependent Field and a Two-Level Atom: Path Integral Treatment

2020 ◽  
Vol 59 (12) ◽  
pp. 3897-3907
Author(s):  
Hilal Benkhelil ◽  
Mekki Aouachria
Keyword(s):  
Path Integral ◽  
Time Dependent ◽  
Level Atom ◽  
Integral Treatment ◽  
Dependent Field

On the interaction between a time-dependent field and a two-level atom

2019 ◽  
Vol 34 (10) ◽  
pp. 1950081 ◽  
Author(s):  
N. H. Abdel-Wahab ◽  
Ahmed Salah
Keyword(s):  
Quantum Electrodynamics ◽  
Initial Conditions ◽  
Coupling Parameter ◽  
Quantum Systems ◽  
Trapped Ions ◽  
Time Dependent ◽  
Von Neumann Entropy ◽  
Von Neumann ◽  
Level Atom ◽  
Dependent Field

In this paper, we study the interaction between the time-dependent field and a two-level atom with one mode electromagnetic field. We consider that the field of photons is assumed to be coupled with modulated coupling parameter which depends explicitly on time. It is shown that the considered model can be reduced to a well-known form of the time-dependent generalized Jaynes–Cummings model. Under special initial conditions, in which the atom and the field are prepared in the excited and the coherent states, respectively, the explicit time evolution of the wave function of the entire system is analytically obtained. Our proposal has many advantages over the previous optical schemes and can be realized in several multiple experiments, such as trapped ions and quantum electrodynamics cavity. The influence of the time-dependent field parameter on the collapses-revivals, the normal squeezing of the radiation, the anti-bunching of photons and the entanglement phenomena for the considered atomic system is examined. The linear entropy, the von Neumann entropy are used to quantify entanglement in the quantum systems. We noticed that these phenomena are affected by the existence of both the time-dependent coupling field and detuning parameters.

Field cancellation by a two-level atom in a multimode cavity driven by a time-dependent field

1997 ◽  
Vol 55 (1) ◽  
pp. 787-795 ◽  
Author(s):  
D. A. Cardimona ◽  
Karl Koch ◽  
P. M. Alsing
Keyword(s):  
Time Dependent ◽  
Level Atom ◽  
Dependent Field

scholarly journals Time-Dependent Field Effect in Three-Dimensional Lead-Halide Perovskite Semiconductor Thin Films

2021 ◽  
Author(s):  
Anil Reddy Pininti ◽  
James M. Ball ◽  
Munirah D. Albaqami ◽  
Annamaria Petrozza ◽  
Mario Caironi
Keyword(s):  
Thin Films ◽  
Field Effect ◽  
Three Dimensional ◽  
Time Dependent ◽  
Semiconductor Thin Films ◽  
Halide Perovskite ◽  
Lead Halide ◽  
Dependent Field

Dirac oscillator in a uniform electric field: Path integral treatment

2019 ◽  
Vol 34 (30) ◽  
pp. 1950246
Author(s):  
Hassene Bada ◽  
Mekki Aouachria
Keyword(s):  
Energy Spectrum ◽  
Electric Field ◽  
Path Integral ◽  
Uniform Electric Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Fermionic Model ◽  
Internal Motions ◽  
Integral Treatment ◽  
The One

In this paper, the propagator of a two-dimensional Dirac oscillator in the presence of a uniform electric field is derived by using the path integral technique. The fact that the globally named approach is used in this work redirects, beforehand, our search for the propagator of the Dirac equation to that of the propagator of its quadratic form. The internal motions relative to the spin are represented by two fermionic oscillators, which are described by Grassmannian variables, according to Schwinger’s fermionic model. Once the integration over the anticommuting variables (Grassmannian variables) is accomplished, the problem becomes the one of finding a non-relativistic propagator with only bosonic variables. The energy spectrum of the electron and the corresponding eigenspinors are also obtained in this work.

Path‐integral treatment of multi‐mode vibronic coupling

1994 ◽  
Vol 100 (2) ◽  
pp. 926-937 ◽  
Author(s):  
Stefan Krempl ◽  
Manfred Winterstetter ◽  
Heiko Plöhn ◽  
Wolfgang Domcke
Keyword(s):  
Path Integral ◽  
Vibronic Coupling ◽  
Integral Treatment ◽  
Multi Mode
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