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It is proved that many-particle Bohm trajectories can be computed from single-particle time-dependent Schrödinger equations. From this result, a practical algorithm for the computation of transport properties of many-electron systems with exchange and Coulomb correlations is derived. As a test, two-particle Bohm trajectories in a tunneling scenario are(More)
In the time-dependent simulation of pure states dealing with transport in open quantum systems, the initial state is located outside of the active region of interest. Using the superposition principle and the analytical knowledge of the free time evolution of such a state outside the active region, together with absorbing layers and remapping, a model for a(More)
Following Oriols (2007 Phys. Rev. Lett. 98 066803), an algorithm to deal with the exchange interaction in non-separable quantum systems is presented. The algorithm can be applied to fermions or bosons and, by construction, it exactly ensures that any observable is totally independent of the interchange of particles. It is based on the use of conditional(More)
In this work, quantum noise is reformulated taking into account the finite size of (normalizable) wave functions associated to electrons. We consider two-particle scattering with tunneling and exchange. This reformulation provides a richer phenomenology compared to timeindependent approaches, such as the Landauer-Buttiker formalism. It is proved that,(More)
The effect of exchange interaction on the scattering probabilities of two electrons injected simultaneously from different sources into a tunneling barrier is analyzed using time-dependent antisymmetric wave functions. Quantum noise for two electrons is calculated using this algorithm showing excellent agreement with Büttiker results for typical(More)
Today, the necessity of faster and smaller devices is pushing the electronic industry into developing electron devices with solid-state structures of few nanometers. In these dimensions electron dynamics are in general governed by quantum mechanical laws. We have recently shown that Bohmian trajectories allow a direct treatment of the many-particle(More)
An effective single-particle Schrodinger equation to include dissipation into quantum devices is presented. This effective equation is fully understood in the context of Bohmian mechanics, a theory of particles and waves, where it is possible to define unambiguously the wave function of a subsystem, the so-called conditional wave function. In particular the(More)
Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed with quasi-particle wave packets. Two initial one-particle wave packets (with opposite central momentums) are spatially localized at each side of a barrier. After impinging upon a tunneling barrier, each wave packet splits into transmitted and reflected(More)
With the aim of manufacturing faster and smaller devices, the electronic industry is today entering into the nanoscale and the high frequency regimes. In this particular scenario, the dynamics of the electron charge becomes affected by quantum mechanical laws, both, for its spatial or temporal description. We have recently shown that Bohmian trajectories(More)
Power dissipation constitutes a major constriction in modern and future nanoelectronic design [1]. In this context, predictive models elucidating new criterions to control Joule heating would be valuable. In this work we reveal how an accurate formulation of the many-body Coulomb correlations among carriers can lead to new perspectives on the design of(More)