Symplectic tomography of nonlinear coherent states of a trapped ion

1996/04/21 by O. V. Man'ko, Olga Man'ko, O.V Man'ko · 43 citations
Computer Science · Physics and Astronomy · #Basis (linear algebra) #Coherent states #Cold Atom Physics and Bose-Einstein Condensates #Fock space #Ion #Nonlinear system #Quadrature (astronomy) #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum state #Quantum tomography #Symplectic geometry #quant-ph

paper · pdf · doi:10.1016/s0375-9601(97)00091-1

published in Physics Letters A 228(1-2), 29-35 (Elsevier BV) · 11 pages,LATEX,contribution to conference Interferometry 2, to appear in Russian Laser Research,1996

openalex publication_date 1997/03/01 · openalex created_date 2017/10/20 · arxiv created 2019/03/03 · arxiv updated 2019/03/05 · openalex updated_date 2026/08/05

Abstract

Squeezed and rotated quadrature of an ion in a Paul trap is discussed in connection with reconstructing its quantum state using symplectic-tomography method. Marginal distributions of the quadrature for squeezed and correlated states and for nonlinear coherent states of a trapped ion are obtained and the density matrices in the Fock basis are expressed explicitly in terms of these marginal distributions.

Citations

• Direct Probing of Quantum Phase Space by Photon Counting
• Reconstructing the density operator by using generalized field quadratures
• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase

Cited by

• Quantum-mechanical counterpart of nonlinear optics