• Corpus ID: 218470448

Classical dynamics as observed quantum dynamics

@article{Lopez2020ClassicalDA,
  title={Classical dynamics as observed quantum dynamics},
  author={Juli'an Ortiz L'opez and Laura Ares and Alfredo Luis},
  journal={arXiv: Quantum Physics},
  year={2020}
}
We examine a case study where classical evolution emerges when observing a quantum evolution. This a single-mode quantum Kerr evolution interrupted by measurement of the double-homodyne kind projecting the evolved field state into classical-like coherent states or quantum squeezed states. We show that irrespective of whether the measurement is classical or quantum there is no quantum Zeno effect and the evolution turns out to be classical. We provide a practical scheme to perform such… 

Figures from this paper

References

SHOWING 1-10 OF 28 REFERENCES
Continuous quantum measurement and the emergence of classical chaos
TLDR
It is demonstrated that even in a classically chaotic system the quantum state vector conditioned by the measurement remains localized and, under these conditions, follows a trajectory characterized by the classical Lyapunov exponent.
Quantum nonlinear dynamics of continuously measured systems
Classical dynamics is formulated as a Hamiltonian flow on phase space, while quantum mechanics is formulated as a unitary dynamics in Hilbert space. These different formulations have made it
Decoherence, chaos, and the correspondence principle
We present evidence that decoherence can produce a smooth quantum-to-classical transition in nonlinear dynamical systems. High-resolution tracking of quantum and classical evolutions reveals
Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion.
It is pointed out here that a coherent state propagating through an amplitude dispersive medium will, under suitable conditions, evolve into a quantum superposition of two coherent states
Observation of quantum state collapse and revival due to the single-photon Kerr effect
TLDR
The ability to create and manipulate superpositions of coherent states in such a high-quality-factor photon mode opens perspectives for combining the physics of continuous variables with superconducting circuits.
A Conceptual Analysis of Quantum Zeno; Paradox, Measurement, and Experiment
Abstract Arguments on controversial points concerning quantum measurement theory and the quantum Zeno effect are presented. In particular it is argued that (1) the quantum Zeno effect is a genuine
Dissipative quantum and classical Liouville mechanics of the anharmonic oscillator.
TLDR
%e present a solution for the dynamics of an anharmonic oscillator coupled to a zerotemperature heat bath and point out the close similarity with rapid destruction of quantum coherence through dissipation with that given in the classical description.
Quantum Theory of Multiport Optical Homodyning
Abstract Multiport optical homodyning concerns the combining of a local oscillator with N − 1 signals of the same frequency in a lossless 2N-port junction or an N × N directional coupler. An operator
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
...
1
2
3
...