English

Synchronizing the simplest classical system and then quantizing it

Quantum Physics 2020-09-02 v1

Abstract

I propose a discrete synchronization model of finite d-level systems and discuss what happens once superposition of states is allowed. The model exhibits various asymptotic behaviors that depend on the initial state. In particular, two antagonistic phenomena can occur: a quantum-to-classical transition and entanglement generation. Next, I generalize this model and show that it is possible to phase-lock a periodic dynamics of a single qubit to a periodic dynamics of a qudit stimulus.

Keywords

Cite

@article{arxiv.2003.01458,
  title  = {Synchronizing the simplest classical system and then quantizing it},
  author = {Pawel Kurzynski},
  journal= {arXiv preprint arXiv:2003.01458},
  year   = {2020}
}

Comments

6 pages, 1 figure, comments welcome