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Phase synchronization in coupled bistable oscillators

delete2020-02-28
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M
M. R. Jessop *
W
Weibin Li
A
A. D. Armour
DOI:10.1103/PhysRevResearch.2.013233delete
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摘要

摘要

En 中文
We introduce a simple model system to study synchronization theoretically in quantum oscillators that are not simply in limit-cycle states but rather display a more complex bistable dynamics. Our oscillator model is purely dissipative, with a two-photon gain balanced by single- and three-photon loss processes. When the gain rate is low, loss processes dominate and the oscillator has a very low photon occupation number. In contrast, for large gain rates, the oscillator is driven into a limit-cycle state where photon numbers can become large. The bistability emerges between these limiting cases with a region of coexistence of limit-cycle and low-occupation states. Although an individual oscillator has no preferred phase, when two of them are coupled together a relative phase preference is generated which can indicate synchronization of the dynamics. We find that the form and strength of the relative phase preference varies widely depending on the dynamical states of the oscillators. In the limit-cycle regime, the phase distribution is pi periodic with peaks at 0 and pi, while in the low-occupation regime pi-periodic phase distributions can be produced with peaks at pi/2 and 3 pi/2. Tuning the coupled system between these two regimes reveals a region where the relative phase distribution has pi/2 periodicity.
Keyword:
QUANTUM
DISTRIBUTIONS
DYNAMICS
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Physical Review Research 封面图
Physical Review Research
IF:
4.2
论文数:
7.6K
被引数:
2.7W

机构

U
University of Nottingham
学者数:
3.4W
论文数: 3.2W
被引数: 5.5W
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