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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.

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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

Time evolution of /βα (t)/2. V = 10-13 m3. Atoms are arranged in the set s3a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1 = π/6, the dot line is for the space phase kr2 = 2π/3, and the thin solid line corresponds to kr3 = π.
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Figure 1: Time evolution of /βα (t)/2. V = 10-13 m3. Atoms are arranged in the set s3a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1 = π/6, the dot line is for the space phase kr2 = 2π/3, and the thin solid line corresponds to kr3 = π.

Mentions: Assume, for example, the available volume V = 10-13 m3 is somehow filled by the set s3a1 with D ≈ 107 rad/sec, initially coupled with one-photon Fock state. Then, , , and . The corresponding graphs for probability to find each atom in the excited state are shown in Figure 1.


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

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

Time evolution of /βα (t)/2. V = 10-13 m3. Atoms are arranged in the set s3a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1 = π/6, the dot line is for the space phase kr2 = 2π/3, and the thin solid line corresponds to kr3 = π.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

Figure 1: Time evolution of /βα (t)/2. V = 10-13 m3. Atoms are arranged in the set s3a1 with D ≈ 107 rad/sec. The bold solid line represents the atom with the space phase kr1 = π/6, the dot line is for the space phase kr2 = 2π/3, and the thin solid line corresponds to kr3 = π.
Mentions: Assume, for example, the available volume V = 10-13 m3 is somehow filled by the set s3a1 with D ≈ 107 rad/sec, initially coupled with one-photon Fock state. Then, , , and . The corresponding graphs for probability to find each atom in the excited state are shown in Figure 1.

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