The Generalized Quantum Langevin Equation (GLE) approach to the quantum transport of many electron systems is developed to study the high electric field transport. Two GLE equations, one for the center-of-mass momentum and the other for the center-of-mass energy, are obtained. The non-linear transport effects due to the presence of a high electric field are reflected directly in the memory func...

The grey-weighted Markov model is a prediction model integrating the advantages of grey model and Markov chain model. It can be applied to predict the highway passenger transport quantum. Compared with grey model, the grey-weighted Markov chain model improved the precise of prediction, so the combined model was more appropriate for the prediction of highway passenger transport. Based on the ori...

We analyze continuous-time quantum and classical random walk on spidernet lattices. In the framework of Stieltjes transform, we obtain density of states, which is an efficiency measure for the performance of classical and quantum mechanical transport processes on graphs, and calculate the spacetime transition probabilities between two vertices of the lattice. Then we analytically show that ther...

Transport phenomena still stand as one of the most challenging problems in computational physics. By exploiting the analogies between Dirac and lattice Boltzmann equations, we develop a quantum simulator based on pseudospin-boson quantum systems, which is suitable for encoding fluid dynamics transport phenomena within a lattice kinetic formalism. It is shown that both the streaming and collisio...

A quantum Smoluchowski equation is put forward that consistently describes thermal quantum states. In particular, it notably does not induce a violation of the second law of thermodynamics. This so modified kinetic equation is applied to study analytically directed quantum transport at strong friction in arbitrarily shaped ratchet potentials that are driven by nonthermal two-state noise. Depend...

We explain the mechanism leading to directed chaotic transport in Hamiltonian systems with spatial and temporal periodicity. We show that a mixed phase space comprising both regular and chaotic motion is required and we derive a classical sum rule which allows one to predict the chaotic transport velocity from properties of regular phase-space components. Transport in quantum Hamiltonian ratche...

We review our experimental study on the electron transport in quantum dots, formed in the two-dimensional electron gas in GaAs/AlGaAs heterostructures. Single electron transport with well-resolved zero-dimensional energy levels is described for both single and coupled quantum dots. Effects of microwave irradiation are also studied, and photon assisted tunneling was observed between two discrete...

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Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the diffusive behavior by evaluating the effective diffusion coefficient together with the corresponding Peclet number. Corrections due to quantum effects, such a...

It is shown that under certain conditions the resonant transport in meso-scopic systems can be described by modified (quantum) rate equations, which resemble the optical Bloch equations with some additional terms. Detailed microscopic derivation from the many-body Schrödinger equation is presented. Special attention is paid to the Coulomb blockade and quantum coherence effects in coupled quantu...