In Bernoulli information space the Laplace-Beltrami spectrum supplies Green's functions for wave, heat and Poisson equations and permits quantization of momentum, producing energies and wavefunctions for free particles and oscillators that map to a quantum pendulum under quadratic KL approximation.
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Continuous heterodyne measurement reveals apparent quantum limit cycles in the van der Pol oscillator and two-level systems, showing similarity to classical limit cycles with noise and linking synchronization measures to experimentally accessible quantities.
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Classical and Quantum Dynamics in an Information Theoretic Space
In Bernoulli information space the Laplace-Beltrami spectrum supplies Green's functions for wave, heat and Poisson equations and permits quantization of momentum, producing energies and wavefunctions for free particles and oscillators that map to a quantum pendulum under quadratic KL approximation.
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Quantum limit cycles and synchronization from a measurement perspective
Continuous heterodyne measurement reveals apparent quantum limit cycles in the van der Pol oscillator and two-level systems, showing similarity to classical limit cycles with noise and linking synchronization measures to experimentally accessible quantities.