Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system
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...
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todo:paper_00207608_v106_n8_p1769_Grinberg2023-10-03T14:18:38Z Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system Grinberg, H. 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 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. Fil:Grinberg, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00207608_v106_n8_p1769_Grinberg |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Grinberg, H. Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system |
| topic_facet |
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 |
| description |
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. |
| format |
JOUR |
| author |
Grinberg, H. |
| author_facet |
Grinberg, H. |
| author_sort |
Grinberg, H. |
| title |
Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system |
| title_short |
Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system |
| title_full |
Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system |
| title_fullStr |
Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system |
| title_full_unstemmed |
Population inversion, temperature, and photon distributions of the generalized fermionic Ising ferromagnetic model: Path-integral representation of the spin system |
| title_sort |
population inversion, temperature, and photon distributions of the generalized fermionic ising ferromagnetic model: path-integral representation of the spin system |
| url |
http://hdl.handle.net/20.500.12110/paper_00207608_v106_n8_p1769_Grinberg |
| work_keys_str_mv |
AT grinbergh populationinversiontemperatureandphotondistributionsofthegeneralizedfermionicisingferromagneticmodelpathintegralrepresentationofthespinsystem |
| _version_ |
1807317964215549952 |