Quantum critical temperature of a modulated oscillator

Quantum critical temperature of a modulated oscillator
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调制振荡器的量子临界温度

DOI:
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发表时间:
2012
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影响因子:
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通讯作者:
M. Dykman
M. Dykman
中科院分区:
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文献类型:
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作者:
Lingzhen Guo;V. Peano;M. Marthaler;M. Dykman

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我们证明了调制非线性振子的振动态之间的转换速率由量子临界温度${T}_{c1}ensuremath{propto}{ensuremath{hbar}}^{2}$.来表征在${T}_{c1}$以上,出现一个量子交叉区,在这里,开关率表现出陡峭的和特征的温度依赖关系,然后是与较高的$T$性质不同的温度依赖关系。与平衡系统中隧穿和热激活之间的交叉不同,这里的交叉发生在由量子涨落激活的不同开关区域之间。其结果超出了大偏差理论的标准实时瞬子技术。
We show that the rate of switching between the vibrational states of a modulated nonlinear oscillator is characterized by a quantum critical temperature ${T}_{c1}ensuremath{propto}{ensuremath{hbar}}^{2}$. Above ${T}_{c1}$ there emerges a quantum crossover region where the switching rate displays a steep and characteristic temperature dependence, followed by a qualitatively different temperature dependence for higher $T$. In contrast to the crossover between tunneling and thermal activation in equilibrium systems, here the crossover occurs between different regimes of switching activated by quantum fluctuations. The results go beyond the standard real-time instanton technique of the large-deviation theory.