论文标题
使用马尔可夫链蒙特卡洛方法，用于驱动量子谐波振荡器的路径积分方法
Path integral approach to driven quantum harmonic oscillator using Markov chain Monte Carlo methods
论文作者
论文摘要
我们已经模拟了量子谐波振荡器的基态，由不同幅度的恒定力或时间依赖性驱动力驱动。对于两种驾驶模式，计算了各种质量，自然角频率和耦合常数$λ$的位置的期望值。对于恒定强迫，获得相干状态。两种强迫方案的结果几乎完全匹配理论上的预期值。对于模拟，大都市算法是在离散的时间晶格上实现的，以评估系统的想象时间路径积分。
We have simulated the ground states of quantum harmonic oscillators driven either by constant forces of different magnitudes or time-dependent driving forces. The expectation values of position for various combinations of mass, natural angular frequency, and the coupling constant $λ$ were calculated for both driving modes. For constant forcing, coherent states were obtained. The results for both forcing scenarios match the theoretically expected values almost exactly. For the simulations, the Metropolis algorithm was implemented on a discrete time lattice to evaluate the imaginary time path integral of the systems.
