量子朗之万方程的前向-后向路径积分
Quantum Langevin equation from forward--backward path integral
摘要:
从热振子池中量子系统的密度矩阵的Feynman-Veron前-后向路径积分表示导出量子朗之万方程。我们展示的机制,其中经典的,$c$值的噪声在Feynman-Vernon理论变成一个运营商值的量子噪声履行特征交换关系所需的时间演化的量子朗之万方程的么正性。
英文摘要:
The quantum Langevin equation is derived from the Feynman-Veron forward--backward path integral representation for a density matrix of a quantum system in a thermal oscillator bath. We exhibit the mechanism by which the classical, $c$-valued noise in the Feynman-Vernon theory turns into an operator-valued quantum noise fulfilling characteristic commutation relation necessary for the unitarity of the time evolution in the quantum Langevin equation.
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