Evolution of squeezed states under the Fock-Darwin Hamiltonian

• Tipo: Artigo em Revista Científica Internacional
• Data: 2009

Autores

Jaime E Santos (Autor) Outra; Nuno M R Peres (Autor) Outra; Joao M B L Lopes dos Santos (Autor) FCUP

Revista

Título: Physical Review A - Atomic, Molecular, and Optical Physics

Vol. 80

ISSN: 1050-2947

Editora: American Physical Society

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 7 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Física

Outras Informações

ID Authenticus: P-003-EW2

DOI: 10.1103/physreva.80.053401

Abstract (EN): We develop a complete analytical description of the time evolution of squeezed states of a charged particle under the Fock-Darwin (FD) Hamiltonian and a time-dependent electric field. This result generalizes a relation obtained by Infeld and Plebanacuteski for states of the one-dimensional harmonic oscillator. We relate the evolution of a state-vector subjected to squeezing to that of state which is not subjected to squeezing and for which the time evolution under the simple harmonic oscillator dynamics is known (e.g., an eigenstate of the Hamiltonian). A corresponding relation is also established for the Wigner functions of the states, in view of their utility in the analysis of cold-ion experiments. In Appendix A, we compute the response functions of the FD Hamiltonian to an external electric field, using the same techniques as in the main text.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 8