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Quantum Neimark-Sacker bifurcation
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DOI：10.1038/s41598-019-53526-2.png)
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摘要
En 中文
Recently, it has been demonstrated that asymptotic states of open quantum system can undergo qualitative changes resembling pitchfork, saddle-node, and period doubling classical bifurcations. Here, making use of the periodically modulated open quantum dimer model, we report and investigate a quantum Neimark-Sacker bifurcation. Its classical counterpart is the birth of a torus (an invariant curve in the Poincare section) due to instability of a limit cycle (fixed point of the Poincare map). The quantum system exhibits a transition from unimodal to bagel shaped stroboscopic distributions, as for Husimi representation, as for observables. The spectral properties of Floquet map experience changes reminiscent of the classical case, a pair of complex conjugated eigenvalues approaching a unit circle. Quantum Monte-Carlo wave function unraveling of the Lindblad master equation yields dynamics of single trajectories on quantumtorus and allows for quantifying it by rotation number. The bifurcation is sensitive to the number of quantum particles that can also be regarded as a control parameter.
Keyword:
SIMULATION
SYSTEMS
OPTICS
STATES
CHAOS
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IF:
3.9
论文数:
28.1W
被引数:
83.5W
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