Limits...
One-photon scattering by an atomic chain in a two-mode resonator: cyclic conditions.

Sizhuk AS, Yezhov SM - Nanoscale Res Lett (2014)

Bottom Line: In this work, a chain of N identical two-level atoms coupled with a quantized electromagnetic field, initially prepared via a single-photon Fock state, is investigated.The N-particle state amplitude of the system is calculated for several space configurations of the atoms in the Weisskopf-Wigner approximation.Applying the condition of 'cyclic bonds', presented in this work, to the elaborated theory allows to describe the system time evolution, practically, for any space configuration.

View Article: PubMed Central - HTML - PubMed

Affiliation: Department of Radiophysics, Kyiv Taras Shevchenko National University, Acad. Glushkova Avenue 4-g, Kyiv 03022, Ukraine.

ABSTRACT
In this work, a chain of N identical two-level atoms coupled with a quantized electromagnetic field, initially prepared via a single-photon Fock state, is investigated. The N-particle state amplitude of the system is calculated for several space configurations of the atoms in the Weisskopf-Wigner approximation. It was shown that the space configuration of an atomic chain, the total number of atoms, and even the available volume for the field modes define the behavior of the system state amplitude with time. Applying the condition of 'cyclic bonds', presented in this work, to the elaborated theory allows to describe the system time evolution, practically, for any space configuration.

No MeSH data available.


Related in: MedlinePlus

Probability /βα (t)/2. V = 10-12 m3. Atoms are arranged in the set s5a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1= 2π/3, the dot line is for the space phase kr5 = 19π/6, and the thin solid line corresponds to kr3 = 5π/2.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4016626&req=5

Figure 4: Probability /βα (t)/2. V = 10-12 m3. Atoms are arranged in the set s5a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1= 2π/3, the dot line is for the space phase kr5 = 19π/6, and the thin solid line corresponds to kr3 = 5π/2.

Mentions: And again, let us see what happens when the available volume is increased by one order. This yields V = 10-12 m3 with the same five atoms (D ≈ 107 rad/sec) of the configuration s5a1. Then, ; , and . The corresponding graph is in Figure 4. Note that the graphs Figures 3 and 4 of excited state probabilities are for the chosen three atoms with the following phases: , , and .


One-photon scattering by an atomic chain in a two-mode resonator: cyclic conditions.

Sizhuk AS, Yezhov SM - Nanoscale Res Lett (2014)

Probability /βα (t)/2. V = 10-12 m3. Atoms are arranged in the set s5a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1= 2π/3, the dot line is for the space phase kr5 = 19π/6, and the thin solid line corresponds to kr3 = 5π/2.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4016626&req=5

Figure 4: Probability /βα (t)/2. V = 10-12 m3. Atoms are arranged in the set s5a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1= 2π/3, the dot line is for the space phase kr5 = 19π/6, and the thin solid line corresponds to kr3 = 5π/2.
Mentions: And again, let us see what happens when the available volume is increased by one order. This yields V = 10-12 m3 with the same five atoms (D ≈ 107 rad/sec) of the configuration s5a1. Then, ; , and . The corresponding graph is in Figure 4. Note that the graphs Figures 3 and 4 of excited state probabilities are for the chosen three atoms with the following phases: , , and .

Bottom Line: In this work, a chain of N identical two-level atoms coupled with a quantized electromagnetic field, initially prepared via a single-photon Fock state, is investigated.The N-particle state amplitude of the system is calculated for several space configurations of the atoms in the Weisskopf-Wigner approximation.Applying the condition of 'cyclic bonds', presented in this work, to the elaborated theory allows to describe the system time evolution, practically, for any space configuration.

View Article: PubMed Central - HTML - PubMed

Affiliation: Department of Radiophysics, Kyiv Taras Shevchenko National University, Acad. Glushkova Avenue 4-g, Kyiv 03022, Ukraine.

ABSTRACT
In this work, a chain of N identical two-level atoms coupled with a quantized electromagnetic field, initially prepared via a single-photon Fock state, is investigated. The N-particle state amplitude of the system is calculated for several space configurations of the atoms in the Weisskopf-Wigner approximation. It was shown that the space configuration of an atomic chain, the total number of atoms, and even the available volume for the field modes define the behavior of the system state amplitude with time. Applying the condition of 'cyclic bonds', presented in this work, to the elaborated theory allows to describe the system time evolution, practically, for any space configuration.

No MeSH data available.


Related in: MedlinePlus