Evolution of squeezed states under the Fock-Darwin Hamiltonian

• Type: Article in International Scientific Journal
• Date: 2009

Authors

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

Journal

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

Vol. 80

ISSN: 1050-2947

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8