Lognormal-like statistics of a stochastic squeeze process.

@article{Shapira2017LognormallikeSO,
  title={Lognormal-like statistics of a stochastic squeeze process.},
  author={Dekel Shapira and Doron Cohen},
  journal={Physical review. E},
  year={2017},
  volume={96 4-1},
  pages={
          042152
        }
}
We analyze the full statistics of a stochastic squeeze process. The model's two parameters are the bare stretching rate w and the angular diffusion coefficient D. We carry out an exact analysis to determine the drift and the diffusion coefficient of log(r), where r is the radial coordinate. The results go beyond the heuristic lognormal description that is implied by the central limit theorem. Contrary to the common "quantum Zeno" approximation, the radial diffusion is not simply D_{r}=(1/8)w^{2… 
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References

SHOWING 1-10 OF 24 REFERENCES
Squeezing in driven bimodal Bose-Einstein condensates: Erratic driving versus noise
We study the interplay of squeezing and phase randomization near the hyperbolic instability of a two-site Bose-Hubbard model in the Josephson interaction regime. We obtain results for the quantum
Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential. II. Application to the ring-laser gyroscope.
  • Coffey, Kalmykov, Massawe
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1993
The effective-eigenvalue method is used to obtain an approximate solution for the mean beat-signal spectrum for the ring-laser gyroscope in the presence of quantum noise. The accuracy of the
Decoherence and entanglement in a bosonic Josephson junction: Bose-enhanced quantum Zeno control of phase diffusion
We study the effect of decoherence on dynamical phase diffusion in the two-site Bose-Hubbard model. Starting with an odd parity excited coherent state, the initial loss of single-particle coherence
Non-equilibrium dynamics of an unstable quantum pendulum explored in a spin-1 Bose-Einstein condensate.
TLDR
This experiment measures the non-equilibrium dynamics of a spin-1 Bose-Einstein condensate initialized as a minimum uncertainty spin-nematic state to a hyperbolic fixed point of the phase space and demonstrates how decoherence of a many-body system can result in apparent coherent behaviour.
Nonlinear phase dynamics in a driven bosonic Josephson junction.
TLDR
Using a master equation approach, the modulation of the intersite potential barrier stabilizes the φ=π "inverted pendulum" coherent state, and protects the fringe visibility.
Quantum Zeno effect.
TLDR
The quantum Zero effect is the inhibition of transitions between quantum states by frequent measurements of the state by means of pulses of light in an rf transition between two ground-state hyperfine levels.
Zeno's paradox in quantum theory
A quantum-theoretic expression is sought for the probability that an unstable particle prepared initially in a well-defined state will be found to decay sometime during a given interval. It is argued
Dynamics of Bose-Einstein condensates in optical lattices
Matter waves inside periodic potentials are well known from solid-state physics, where electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates inside
Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction.
TLDR
A novel nonlinear effect known as macroscopic quantum self-trapping, which leads to the inhibition of large amplitude tunneling oscillations in superconducting and superfluid Josephson junctions is confirmed.
...
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