Genuine quantum trajectories for non-Markovian processes
| dc.creator | Breuer, Heinz-Peter | |
| dc.date | 2004-03-16 | |
| dc.date.accessioned | 2026-07-07T06:09:19Z | |
| dc.date.available | 2026-07-07T06:09:19Z | |
| dc.description | A large class of non-Markovian quantum processes in open systems can be formulated through time-local master equations which are not in Lindblad form. It is shown that such processes can be embedded in a Markovian dynamics which involves a time dependent Lindblad generator on an extended state space. If the state space of the open system is given by some Hilbert space ${\mathcal{H}}$, the extended state space is the triple Hilbert space ${\mathcal{H}}\otimes{\mathbb C}^3$ which is obtained by combining the open system with a three state system. This embedding is used to derive an unraveling for non-Markovian time evolution by means of a stochastic process in the extended state space. The process is defined through a stochastic Schrödinger equation which generates genuine quantum trajectories for the state vector conditioned on a continuous monitoring of an environment. The construction leads to a continuous measurement interpretation for non-Markovian dynamics within the framework of the theory of quantum measurement. | |
| dc.description | 13 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0403117 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0403117 | |
| dc.identifier | Phys. Rev. A 70, 012106 (2004) | |
| dc.identifier | doi:10.1103/PhysRevA.70.012106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91918 | |
| dc.subject | Quantum Physics | |
| dc.title | Genuine quantum trajectories for non-Markovian processes | |
| dc.type | text |