横向磁场作用下耦合双粒子的宏观量子隧穿
Macroscopic quantum tunneling of two coupled particles in the presence of a transverse magnetic field
摘要：
研究了两个质量相同但电荷相反的耦合粒子在恒定的横向外磁场和外势作用下与谐振子池的相互作用。我们表明，这个问题不能映射到一个一维的问题，如在参考文献\cite{pa}，它严格保持二维。在有限温度下，我们用虚时间路径积分计算了线性耦合和无线性耦合两种情况下的有效作用。在零温度下，我们用莱格特的公式推导出有效作用量。在零磁场的极限下，我们恢复了文献\cite{em1}中关于两个全同粒子的结果的二维形式。我们发现，在强耗散的限制，有效的作用减少到二维版本的Caldeira-Leggett形式的约化质量和磁场。详细研究了两个粒子的运动受欧姆摩擦常数$η$阻尼的欧姆耗散情况。
英文摘要：
Two coupled particles of identical masses but opposite charges, with a constant transverse external magnetic field and an external potential, interacting with a bath of harmonic oscillators are studied. We show that the problem cannot be mapped to a one-dimensional problem like the one in Ref. \cite{pa}, it strictly remains two-dimensional. We calculate the effective action both for the case of linear coupling to the bath and without a linear coupling using imaginary time path integral at finite temperature. At zero temperature we use Leggett's prescription to derive the effective action. In the limit of zero magnetic field we recover a two dimensional version of the result derived in Ref. \cite{em1} for the case of two identical particles. We find that in the limit of strong dissipation, the effective action reduces to a two dimensional version of the Caldeira-Leggett form in terms of the reduced mass and the magnetic field. The case of Ohmic dissipation with the motion of the two particles damped by the Ohmic frictional constant $η$ is studied in detail.
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