dorsal/arxiv
View SchemaFermionic coherent states for pseudo-Hermitian two-level systems
| Authors | O. Cherbal, M. Drir, M. Maamache, D. A. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608177 |
| URL | https://arxiv.org/abs/quant-ph/0608177 |
| DOI | 10.1088/1751-8113/40/8/010 |
| Journal | J. Phys. A 40 (2007) 1835-1844 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We introduce creation and annihilation operators of pseudo-Hermitian fermions for two-level systems described by pseudo-Hermitian Hamiltonian with real eigenvalues. This allows the generalization of the fermionic coherent states approach to such systems. Pseudo-fermionic coherent states are constructed as eigenstates of two pseudo-fermion annihilation operators. These coherent states form a bi-normal and bi-overcomplete system, and their evolution governed by the pseudo-Hermitian Hamiltonian is temporally stable. In terms of the introduced pseudo-fermion operators the two-level system' Hamiltonian takes a factorized form similar to that of a harmonic oscillator.
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"abstract": "We introduce creation and annihilation operators of pseudo-Hermitian fermions\nfor two-level systems described by pseudo-Hermitian Hamiltonian with real\neigenvalues. This allows the generalization of the fermionic coherent states\napproach to such systems. Pseudo-fermionic coherent states are constructed as\neigenstates of two pseudo-fermion annihilation operators. These coherent states\nform a bi-normal and bi-overcomplete system, and their evolution governed by\nthe pseudo-Hermitian Hamiltonian is temporally stable. In terms of the\nintroduced pseudo-fermion operators the two-level system\u0027 Hamiltonian takes a\nfactorized form similar to that of a harmonic oscillator.",
"arxiv_id": "quant-ph/0608177",
"authors": [
"O. Cherbal",
"M. Drir",
"M. Maamache",
"D. A. Trifonov"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/8/010",
"journal_ref": "J. Phys. A 40 (2007) 1835-1844",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Fermionic coherent states for pseudo-Hermitian two-level systems",
"url": "https://arxiv.org/abs/quant-ph/0608177"
},
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