Exact Solution for a Non-Markovian Dissipative Quantum Dynamics
Abstract
We provide the exact analytic solution of the stochastic Schrödinger equation describing a harmonic oscillator interacting with a non-Markovian and dissipative environment. This result represents an arrival point in the study of non-Markovian dynamics via stochastic differential equations. It is also one of the few exactly solvable models for infinite-dimensional systems. We compute the Green’s function; in the case of a free particle and with an exponentially correlated noise, we discuss the evolution of Gaussian wave functions.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2012
- DOI:
- 10.1103/PhysRevLett.108.170404
- arXiv:
- arXiv:1204.4348
- Bibcode:
- 2012PhRvL.108q0404F
- Keywords:
-
- 03.65.Yz;
- 03.65.Ta;
- 42.50.Lc;
- Decoherence;
- open systems;
- quantum statistical methods;
- Foundations of quantum mechanics;
- measurement theory;
- Quantum fluctuations quantum noise and quantum jumps;
- Quantum Physics
- E-Print:
- to appear in Phys. Rev. Lett