6533b857fe1ef96bd12b3986
RESEARCH PRODUCT
An application of the arithmetic euler function to the construction of nonclassical states of a quantum harmonic oscillator
Anna NapoliAntonino Messinasubject
Euler functionCavity quantum electrodynamicsStatistical and Nonlinear PhysicsFock spacesymbols.namesakeNumber theoryQuantum harmonic oscillatorQuantum mechanicssymbolsCoherent statesNonclassical lightArithmeticQuantumMathematical PhysicsMathematicsdescription
Abstract All quantum superpositions of two equal intensity coherent states exhibiting infinitely many zeros in their Fock distributions are explicitly constructed and studied. Our approach is based on results from number theory and, in particular, on the properties of arithmetic Euler function. The nonclassical nature of these states is briefly pointed out. Some interesting properties are brought to light.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-08-01 | Reports on Mathematical Physics |