Coherent states of parametric oscillators in the probability representation of quantum mechanics
arXiv:2003.01556 · doi:10.1007/s10946-020-09844-2
Abstract
Glauber coherent states of quantum systems are reviewed. We construct the tomographic probability distributions of the oscillator states. The possibility to describe quantum states by tomographic probability distributions (tomograms) is presented on an example of coherent states of parametric oscillator. The integrals of motion linear in the position and momentum are used to explicitly obtain the tomogram evolution expressed in terms of trajectories of classical parametric oscillator
References in corpus (7)
- Symplectic tomography as classical approach to quantum systems
- Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
- Geometrical Description of Quantum Mechanics - Transformations and Dynamics
- Geometry and Entanglement of Two-Qubit States in the Quantum Probabilistic Representation
- Interplay between Riccati, Ermakov and Schroedinger equations to produce complex-valued potentials with real energy spectrum
- Parametric oscillator in a Kerr medium: evolution of coherent states
- Photon number and optical tomograms for Gaussian states