Article citationsMore>>
Thrapsaniotis, E.G. (2011) Chapter 19. Path Integral Approach to the Interaction of One Active Electron Atoms with Ultrashort Squeezed Pulses. In: George, T.F., Letfullin, R.R. and Zhang, G., Eds., Perspectives in Theoretical Physics, Nova Science Publishers, New York, 249-272.
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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.