Challenges in truncating the hierarchy of time-dependent reduced density matrices equations
نویسندگان
چکیده
A. Akbari,1,*,† M. J. Hashemi,2,† A. Rubio,1 R. M. Nieminen,2 and R. van Leeuwen3 1Nano-Bio Spectroscopy Group and ETSF Scientific Development Centre, Departamento de Fı́sica de Materiales, Centro de Fı́sica de Materiales CSIC-UPV/EHU-MPC and DIPC, Universidad del Paı́s Vasco UPV/EHU, Avenida Tolosa 72, E-20018 San Sebastián, Spain 2Department of Applied Physics, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland 3Department of Physics, Nanoscience Center, University of Jyväskylä, FI-40014 Jyväskylä, Finland (Received 21 April 2012; published 12 June 2012)
منابع مشابه
A Local Strong form Meshless Method for Solving 2D time-Dependent Schrödinger Equations
This paper deals with the numerical solutions of the 2D time dependent Schr¨odinger equations by using a local strong form meshless method. The time variable is discretized by a finite difference scheme. Then, in the resultant elliptic type PDEs, special variable is discretized with a local radial basis function (RBF) methods for which the PDE operator is also imposed in the local matrices. Des...
متن کاملSecond Quantized Reduced Bloch Equations and the Exact Solutions for Pairing Hamiltonian
In this article, we present a set of hierarchy Bloch equations for the reduced density operators in either canonical or grand canonical ensembles in the occupation number representation. They provide a convenient tool for studying the equilibrium quantum statistical mechanics for some model systems. As an example of their applications, we solve the equations for the model system with a pairing ...
متن کاملTime-dependent analysis of carrier density and potential energy in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD)
Interaction and correlation effects in quantum dots play a fundamental role in defining both their equilibrium and transport properties. Numerical methods are commonly employed to study such systems. In this paper we investigate the numerical calculation of quantum transport of electrons in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD). The simulation is based on the imaginary time...
متن کاملTime-dependent analysis of carrier density and potential energy in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD)
Interaction and correlation effects in quantum dots play a fundamental role in defining both their equilibrium and transport properties. Numerical methods are commonly employed to study such systems. In this paper we investigate the numerical calculation of quantum transport of electrons in spherical centered defect InGaAs/AlGaAs quantum dot (SCDQD). The simulation is based on the imaginary time...
متن کاملNumerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices
Fractional differential equations (FDEs) have attracted in the recent years a considerable interest due to their frequent appearance in various fields and their more accurate models of systems under consideration provided by fractional derivatives. For example, fractional derivatives have been used successfully to model frequency dependent damping behavior of many viscoelastic materials. They a...
متن کامل