Symplectic Tomography of Schrodinger Cat States of a Trapped Ion

@article{Manko1997SymplecticTO,
  title={Symplectic Tomography of Schrodinger Cat States of a Trapped Ion},
  author={Olga V. Man'ko},
  journal={arXiv: Quantum Physics},
  year={1997},
  pages={225-229}
}
  • O. Man'ko
  • Published 5 March 2019
  • Physics
  • arXiv: Quantum Physics
The marginal distribution of squeezed, rotated, and shifted quadrature for two types of nonclassical states of a trapped ion — squeezed correlated states and squeezed even and odd coherent states (squeezed Schrodinger cat states) is studied 
5 Citations
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References

SHOWING 1-9 OF 9 REFERENCES
Symplectic tomography of nonclassical states of a trapped ion
The marginal distribution of squeezed and rotated quadrature for two types of nonclassical states of a trapped ion — squeezed and correlated states and squeezed even and odd coherent states (squeezed
Symplectic tomography as classical approach to quantum systems
Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum.
TLDR
From measurements of quadrature-field amplitude, the technique of optical homodyne tomography is demonstrated to determine the Wigner distribution and the density matrix of the mode, providing a complete quantum mechanical characterization of the measured mode.
Wigner function and probability distribution for shifted and squeezed quadratures
The probability distribution for rotated, squeezed and shifted quadratures is shown to be expressed in terms of the Wigner function (as well as in terms of the Q-function and density operator in the
Wigner functions in the Paul trap
The authors review the theory of the harmonic oscillator with time-dependent frequency by means of an approach based on an operator constant of the motion. With the help of this operator constant we
The Quantum Mechanics of Particles in Time-Dependent Quadrupole Fields
We solve the quantum mechanical problem of the motion of charged particle in a quadrupole field that varies arbitrarily with time. The time-dependent wave functions are shown to be in a simple
Even and odd coherent states of the motion of a trapped ion.
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase.
  • Vogel, Risken
  • Mathematics
    Physical review. A, General physics
  • 1989