6533b86dfe1ef96bd12c975b

RESEARCH PRODUCT

Unitary Representations of Quantum Superpositions of two Coherent States and beyond

Antonino MessinaGheorghe Drăgănescu

subject

Statistics and ProbabilityQuantum PhysicsBasis (linear algebra)Hilbert spaceFOS: Physical sciencesStatistical and Nonlinear PhysicsUnitary stateFock spacesymbols.namesakeOptical phase spaceTheoretical physicsQuantum harmonic oscillatorQuantum mechanicssymbolsCoherent statesQuantum Physics (quant-ph)Mathematical PhysicsMathematicsSqueezed coherent state

description

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad hoc introduced set of hermitian operators, leads to the definition of new basis in the oscillator Hilbert space, extending in a natural way the displaced Fock states basis. The potential development of our method and our results are briefly outlined.

yearjournalcountryeditionlanguage
2013-09-01
http://arxiv.org/abs/1306.2524