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Abstract:

The quantum partition function and the emerging energy of a fermionic Ising ferromagnetic model involving all possible interactions (generalized Ising model) are obtained from an appropriate tracing of the analytic propagator path integral over Grassmann variable coherent nonorthogonal states in the imaginary time domain. The dynamics derived from the interaction of this system with a single-mode cavity field in the rotating wave approximation is investigated for nonresonant states within the framework of the Jaynes-Cummings two-level model consisting of the vacuum state and a thermally averaged manifold of excited states. Time evolution of the population inversion is computed in the nanosecond time scale, assuming that the initial coherent state of the field is given by a Poisson distribution. The limit of high temperatures characterizing the manifold of excited states becomes chaotic with rapid oscillations, whereas the ground state is described correctly in the thermodynamic limit by the vacuum state. A breakup is seen in the photon distribution into a series of peaks because of the detuning between the spin system and the field. However, this structure is smeared out, and the general shape is preserved in the computation emerging from the Laplace transform of the photon distribution. © 2006 Wiley Periodicals, Inc.

Registro:

Documento: Artículo
Título:Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system
Autor:Grinberg, H.
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellon 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Cavity field; Grassmann algebra; Ising model; Path integral; Two-level systems; Approximation theory; Computation theory; Ferromagnetism; High temperature effects; Integral equations; Mathematical models; Photons; Poisson distribution; Quantum theory; Rotation; Temperature distribution; Thermodynamic properties; Vacuum applications; Cavity fields; Grassmann algebra; Ising model; Path integrals; Two-level systems; Fermions
Año:2006
Volumen:106
Número:8
Página de inicio:1769
Página de fin:1781
DOI: http://dx.doi.org/10.1002/qua.20975
Título revista:International Journal of Quantum Chemistry
Título revista abreviado:Int J Quantum Chem
ISSN:00207608
CODEN:IJQCB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v106_n8_p1769_Grinberg

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Citas:

---------- APA ----------
(2006) . Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system. International Journal of Quantum Chemistry, 106(8), 1769-1781.
http://dx.doi.org/10.1002/qua.20975
---------- CHICAGO ----------
Grinberg, H. "Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system" . International Journal of Quantum Chemistry 106, no. 8 (2006) : 1769-1781.
http://dx.doi.org/10.1002/qua.20975
---------- MLA ----------
Grinberg, H. "Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system" . International Journal of Quantum Chemistry, vol. 106, no. 8, 2006, pp. 1769-1781.
http://dx.doi.org/10.1002/qua.20975
---------- VANCOUVER ----------
Grinberg, H. Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system. Int J Quantum Chem. 2006;106(8):1769-1781.
http://dx.doi.org/10.1002/qua.20975