Synchronizing the Smallest Possible System.

Roulet A; Bruder C

doi:10.1103/PhysRevLett.121.053601

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Journal article

Synchronizing the Smallest Possible System.

Roulet A Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.
Bruder C Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.

2018-08-18

Published in:

Physical review letters. - 2018

English We investigate the minimal Hilbert-space dimension for a system to be synchronized. We first show that qubits cannot be synchronized due to the lack of a limit cycle. Moving to larger spin values, we demonstrate that a single spin 1 can be phase locked to a weak external signal of similar frequency and exhibits all the standard features of the theory of synchronization. Our findings rely on the Husimi Q representation based on spin coherent states which we propose as a tool to obtain a phase portrait.

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English

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green

Identifiers

DOI 10.1103/PhysRevLett.121.053601
PMID 30118311

Persistent URL

https://sonar.ch/global/documents/232369

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