Time-dependent transport via the generalized master equation through a finite quantum wire with an embedded subsystem

Abstract

The authors apply the generalized master equation to analyze timedependent transport through a finite quantum wire with an embedded subsystem. The parabolic quantum wire and the leads with several subbands are described by a continuous model. We use an approach originally developed for a tight-binding description selecting the relevant states for transport around the bias-window defined around the values of the chemical potential in the left and right leads in order to capture the effects of the nontrivial geometry of the system in the transport. We observe a partial current reflection as a manifestation of a quasi-bound state in an embedded well and the formation of a resonance state between an off-set potential hill and the boundary of the system.

Time-dependent magnetotransport in an interacting double quantum wire with window coupling

“…29 The spatial coupling range in the leads is governed by δ l x and δ l y . We have considered the energy interval [µ R − ∆, µ L + ∆] to define an active window in the energy domain ∆ E = ∆µ + 2∆ that involves all the possible states in the central system that are relevant to the transport.…”

“…A non-Markovian density-matrix formalism involving the coupled elements should be considered based on the generalized QME (GQME). [26][27][28][29][30] It has been confirmed that the Markovian limit not only neglects the coherent oscillations, but also the rate at which the steady state under this limit significantly differs from the non-Markovian results.…”

A Perturbative Method for Nonequilibrium Steady State of Open Quantum Systems

“…In quantum systems, one of the theoretical frameworks widely used for open systems is the quantum master equation (QME) [1], an equation of motion for the density matrix of the system. In fact, the QME is used in various fields of physics: e.g., quantum optics [1,2], nuclear magnetic resonance [3], electron transfer in chemical physics and biophysics [4,5], heat transport [6,7,8,9,10,11,12,13,14], electronic transport in mesoscopic conductors [15,16,17,18,19], spin transport [20], and nonequilibrium thermodynamics and statistical physics [21,22,23,24,25]. Therefore, the QME is a reliable approach to investigating NESS in various systems (c.f.…”

Time-dependent magnetotransport in semiconductor nanostructures via the generalized master equation

“…The derivation had its origin in quantum optics [5,6]. For technical details see [7] for a lattice model and [8] for a continuous model. The semi-infinite leads are coupled to the finite system at t = 0.…”

“…We will assume no Coulomb interaction between the electrons in the system, but we have added the Coulomb interaction via "exact diagonalization" in a different communication [9]. In addition to earlier development [7,8] we add an external magnetic field with strength B perpendicular to the 2D electron system in * Corresponding author at: Science Institute, University of Iceland, Dunhaga 3,…”