TITLE:
Dynamics of a Quantum Dissipative System Coupled with an Oscillator
AUTHORS:
Emmanouil George Thrapsaniotis
KEYWORDS:
Double Well, Harmonic Bath, Oscillator, Influence Functional, Sign Solved Propagator, Position
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.4,
April
30,
2024
ABSTRACT: We study the dynamics of a quantum dissipative system. Besides its linear coupling with a harmonic bath modelling the dissipation, we suppose that it is coupled with an oscillator with an interaction of the form
s
2
x
2
. In our study, we integrate over the bath and the oscillator, extract the corresponding influence functionals and then solve the system’s sign problem. We apply the theory to the case of a double well and study the time evolution of the expectation value of the position.