Symplectic tomography of nonlinear coherent states of a trapped ion

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.

References in corpus (6)

• Symplectic tomography as classical approach to quantum systems
• Direct Probing of Quantum Phase Space by Photon Counting
• Reconstructing the density operator by using generalized field quadratures
• Multidimensional Hermite polynomials and photon distribution for polymode mixed light
• Different realizations of tomographic principle in quantum state measurement
• Analytic Description of the Motion of a Trapped Ion in an Even or Odd Squeezed State

Cited by in corpus (10)

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• Coherent states for exactly solvable potentials
• Magnetic operations: a little fuzzy physics?
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• Coherent states approach to Penning trap
• Coherent states for quadratic Hamiltonians
• Higher-Order Nonclassicality in Photon Added and Subtracted Qudit States
• Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space