|
| related topics |
| {operator, operators, space} |
| {state, states, coherent} |
| {level, atom, field} |
| {phase, path, phys} |
| {equation, function, exp} |
| {time, decoherence, evolution} |
| {states, state, optimal} |
|
Fermionic coherent states for pseudo-Hermitian two-level systems
O. Cherbal, M. Drir, M. Maamache, D. A. Trifonov
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0608177
- categories:
- quant-ph
- comments:
- 13 pages (Latex, article class), no figures; v2: some amendments in
section 2, seven new refs added
- doi:
- 10.1088/1751-8113/40/8/010
- arxiv_id:
- quant-ph/0608177
- journal_ref:
- J. Phys. A 40 (2007) 1835-1844
- created:
- 2006-08-23
- updated:
- 2009-02-27
Full article ▸
|
|
| related documents |
| 9905037v1 |
| 0506249v2 |
| 9512014v1 |
| 0211194v1 |
| 0407213v1 |
| 0209054v1 |
| 9704010v2 |
| 0206112v1 |
| 0609032v1 |
| 0003137v2 |
| 0703243v2 |
| 0703162v1 |
| 0703220v1 |
| 0703061v1 |
| 0609072v1 |
| 0609023v1 |
| 0611125v1 |
| 0610258v1 |
| 0612033v1 |
| 0703193v2 |
| 0701198v1 |
| 0610251v1 |
| 0701079v1 |
| 0701054v1 |
| 0702143v1 |
|