Entanglement tongue and quantum synchronization of disordered oscillators
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Lee-2014-Entanglement tongue.pdf
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Author(s)
Lee, Tony E.
Chan, Ching-Kit
Wang, Shenshen
Date Issued
February 2014
Journal
Physical Review E
Publisher
American Physical Society
Citation
Lee, Tony E., Ching-Kit Chan, and Shenshen Wang. “Entanglement Tongue and Quantum Synchronization of Disordered Oscillators.” Phys. Rev. E 89, no. 2 (February 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We study the synchronization of dissipatively coupled van der Pol oscillators in the quantum limit, when each oscillator is near its quantum ground state. Two quantum oscillators with different frequencies exhibit an entanglement tongue, which is the quantum analog of an Arnold tongue. It means that the oscillators are entangled in steady state when the coupling strength is greater than a critical value, and the critical coupling increases with detuning. An ensemble of many oscillators with random frequencies still exhibits a synchronization phase transition in the quantum limit, and we analytically calculate how the critical coupling depends on the frequency disorder. Our results can be experimentally observed with trapped ions or neutral atoms.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.89.022913
