Stochastic Schrödinger equations and conditional states: a general Non-Markovian quantum electron transport simulator for THz electronics
arXiv:1910.13214 · doi:10.3390/e21121148
Abstract
A prominent tool to study the dynamics of open quantum systems is the reduced density matrix. Yet, approaching open quantum systems by means of state vectors has well known computational advantages. In this respect, the physical meaning of the so-called conditional states in Markovian and non-Markovian scenarios has been a topic of recent debate in the construction of stochastic Schrödinger equations. We shed light on this discussion by acknowledging the Bohmian conditional wavefunction as the proper mathematical object to represent, in terms of state vectors, an arbitrary subset of degrees of freedom. As an example of the practical utility of these states, we present a time-dependent quantum Monte Carlo algorithm to describe electron transport in open quantum systems under general (Markovian or non-Markovian) conditions. By making the most of trajectory-based and wavefunction methods, the resulting simulation technique extends, to the quantum regime, the computational capabilities that the Monte Carlo solution of the Boltzmann transport equation offers for semi-classical electron devices.
References in corpus (11)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Bohmian Mechanics and Quantum Field Theory
- Initial correlations in open system's dynamics: The Jaynes-Cummings model
- Applied Bohmian Mechanics
- Pure-state quantum trajectories for general non-Markovian systems do not exist
- Non-Markovian continuous quantum measurement of retarded observables
- Non-Markovian dynamics for bipartite systems
- Dynamics of Current, Charge and Mass
- Time-dependent exchange and tunneling: detection at the same place of two electrons emitted simultaneously from different sources
- Quantum dissipation with conditional wave functions: Application to the realistic simulation of nanoscale electron devices
- Computation of many-particle quantum trajectories with exchange interaction: Application to the simulation of nanoelectronic devices