A Short Summary of Recent Calculation

Time correlation function

In this calculation, the bath spectrum used include Ohmic bath with exponential cutoff funciton and the Debye bath.


high temperature, $\beta=0.25$
low temperature,$\beta=10,50$

Scaling limit


Debye Spectrum

The imaginary part of C(t) can be replaced by a single exponential function

Meanwhile, this need us to fit the real part more carefully.