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Resonant-force induced symmetry breaking in a quantum parametric oscillator

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arxiv 2405.02706 v2 pith:5P3COTYI submitted 2024-05-04 cond-mat.stat-mech cond-mat.mes-hallquant-ph

Resonant-force induced symmetry breaking in a quantum parametric oscillator

classification cond-mat.stat-mech cond-mat.mes-hallquant-ph
keywords statesoscillatorforcequantumcloseeffectfactorfrequency
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A parametrically modulated oscillator has two opposite-phase vibrational states at half the modulation frequency. An extra force at the vibration frequency breaks the symmetry of the states. The effect can be extremely strong due to the interplay between the force and the quantum fluctuations resulting from the coupling of the oscillator to a thermal bath. The force changes the rates of the fluctuation-induced walk over the quantum states of the oscillator. If the number of the states is large, the effect accumulates to an exponentially large factor in the rate of switching between the vibrational states. We find the factor and analyze it in the limiting cases including the prebifurcation regime where the system is close but not too close to the bifurcation point.

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  1. Asymmetry Control in a Parametric Oscillator for the Quantum Simulation of Chemical Activation

    quant-ph 2024-09 unverdicted novelty 6.0

    A continuously driven Kerr parametric oscillator with third-order nonlinearity is operated as a tunable asymmetric double-well quantum simulator to study dissipative tunneling rates relevant to chemical activation.