%0 Journal Article
%T Dynamics of a Quantum Dissipative System Coupled with an Oscillator
%A Emmanouil George Thrapsaniotis
%J Journal of Applied Mathematics and Physics
%P 1472-1491
%@ 2327-4379
%D 2024
%I Scientific Research Publishing
%R 10.4236/jamp.2024.124091
%X 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 <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
 <mrow>
  <msup>
   <mi>s</mi>
   <mn>2</mn>
  </msup>
  <msup>
   <mi>x</mi>
   <mn>2</mn>
  </msup>
  </mrow>
</math>
. 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.
%K Double Well
%K Harmonic Bath
%K Oscillator
%K Influence Functional
%K Sign Solved Propagator
%K Position
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=132961