4,235 research outputs found
Synchronization of extended systems from internal coherence
A condition for the synchronizability of a pair of PDE systems, coupled
through a finite set of variables, is commonly the existence of internal
synchronization or internal coherence in each system separately. The condition
was previously illustrated in a forced-dissipative system, and is here extended
to Hamiltonian systems, using an example from particle physics. Full
synchronization is precluded by Liouville's theorem. A form of synchronization
weaker than "measure synchronization" is manifest as the positional coincidence
of coherent oscillations ("breathers" or "oscillons") in a pair of coupled
scalar field models in an expanding universe with a nonlinear potential, and
does not occur with a variant of the model that does not exhibit oscillons.Comment: version accepted for publication in PRE (paragraph beginning at the
bottom of pg. 5 has been rewritten to suggest unifying principle for
synchronizability, applying to both forced-dissipative and Hamiltonian
systems; other minor changes
Limits to clock synchronization induced by completely dephasing communication channels
Clock synchronization procedures are analyzed in the presence of imperfect
communications. In this context we show that there are physical limitations
which prevent one from synchronizing distant clocks when the intervening medium
is completely dephasing, as in the case of a rapidly varying dispersive medium.Comment: 6 Pages. Revised version as published in PR
Degree of Quantumness in Quantum Synchronization
We introduce the concept of degree of quantumness in quantum synchronization,
a measure of the quantum nature of synchronization in quantum systems.
Following techniques from quantum information, we propose the number of
non-commuting observables that synchronize as a measure of quantumness. This
figure of merit is compatible with already existing synchronization
measurements, and it captures different physical properties. We illustrate it
in a quantum system consisting of two weakly interacting cavity-qubit systems,
which are coupled via the exchange of bosonic excitations between the cavities.
Moreover, we study the synchronization of the expectation values of the Pauli
operators and we propose a feasible superconducting circuit setup. Finally, we
discuss the degree of quantumness in the synchronization between two quantum
van der Pol oscillators
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