For studying the evolution of the density operator of the time-dependent dynamical system author presents here a general reformulation of subdynamics of driven system to obtain the efficient dynamical equation. The ex...For studying the evolution of the density operator of the time-dependent dynamical system author presents here a general reformulation of subdynamics of driven system to obtain the efficient dynamical equation. The explicit formulas to calculate the creation operator and the destruction operator are given. A new intertwining relation is discussed, The method presented here can be useful to get the evolution formalism of the density operator for any system driven by an external field.展开更多
A subdynamics theory framework for describing multi coupled quantum computing systems is presented first. A general kinetic equation for the reduced system is given then, enabling a sufficient condition to be formula...A subdynamics theory framework for describing multi coupled quantum computing systems is presented first. A general kinetic equation for the reduced system is given then, enabling a sufficient condition to be formulated for constructing a pure coherent quantum computing system. This reveals that using multi coupled systems to perform quantum computing in Rigged Liouville Space opens the door to controlling or eliminating the intrinsic de coherence of quantum computing systems.展开更多
Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-...Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-equilibrium phenomena can not be said as firm as well established as the Gibbsian ensemble theory. In this work, we present a framework for the non-equilibrium statistical ensemble formalism based on a subdynamic kinetic equation (SKE) rooted from the Brussels-Austin school and followed by some up-to-date works. The constructed key is to use a similarity transformation between Gibbsian ensembles formalism based on Liouville equation and the subdynamic ensemble formalism based on the SKE. Using this formalism, we study the spin-Boson system, as cases of weak coupling or strongly coupling, and obtain the reduced density operators for the Canonical ensembles easily.展开更多
For studying the evolution of electrorheological fluids influenced by the external fields, we present a general formulation to obtain the formula of evolution of the density operator. This formulation is based on the...For studying the evolution of electrorheological fluids influenced by the external fields, we present a general formulation to obtain the formula of evolution of the density operator. This formulation is based on the subdynamics of driven system. As showing application of this formulism we demonstrate an algorithm to calculate the conductivity of electrorheological fluid based on an electrostatic polarization model. The method presented here can be used to obtain the evolution of expectation of physical observables for electrorheological fluids. (Author abstract) 8 Refs.展开更多
We present here a formulation of subdynamics to calculatee Wannier-Mott excitons in a Nami-semiconductor driven by a strong electrical field. The formula of the evolution of density operator for the time-dependent Lio...We present here a formulation of subdynamics to calculatee Wannier-Mott excitons in a Nami-semiconductor driven by a strong electrical field. The formula of the evolution of density operator for the time-dependent Liouvillian is given. In terms of this formula rue can calculate the nonlinear response of the absorbing coefficient of light for nami-semicouducton. The results are helpful to study either the nonlinear behavior of the Wannier-Mott excitons in a nami-semicouducton driven by a strong harmonic field or the optic properties of these Kinds of materials.展开更多
Taking the formulation of the Daqing Oil. fived five-year development plan as the background, this paper puts forward the concept of dynamic programming with aftereffects and gives the principle of suboptimality as it...Taking the formulation of the Daqing Oil. fived five-year development plan as the background, this paper puts forward the concept of dynamic programming with aftereffects and gives the principle of suboptimality as its approximate solution. By using this principle an oil field development subdynamic programming model has been made and the oil field development program based on this model has achieved obvious economic benefits.展开更多
A formalism of quantum computing with 2000 qubits or more in decoherence-free subspaces is presented. The subspace is triangular with respect to the index related to the environment. The quantum states in the subspace...A formalism of quantum computing with 2000 qubits or more in decoherence-free subspaces is presented. The subspace is triangular with respect to the index related to the environment. The quantum states in the subspaces are projected states ruled by a subdynamic kinetic equation. These projected states can be used to perform general, large-scale decoherence-free quantum computing.展开更多
文摘For studying the evolution of the density operator of the time-dependent dynamical system author presents here a general reformulation of subdynamics of driven system to obtain the efficient dynamical equation. The explicit formulas to calculate the creation operator and the destruction operator are given. A new intertwining relation is discussed, The method presented here can be useful to get the evolution formalism of the density operator for any system driven by an external field.
文摘A subdynamics theory framework for describing multi coupled quantum computing systems is presented first. A general kinetic equation for the reduced system is given then, enabling a sufficient condition to be formulated for constructing a pure coherent quantum computing system. This reveals that using multi coupled systems to perform quantum computing in Rigged Liouville Space opens the door to controlling or eliminating the intrinsic de coherence of quantum computing systems.
基金Supported by the National Natural Science Foundation of China under Grant No. 60874087the Grants from Wuhan University of Technology,in Canada by NSERC, MITACS, CIPI, MMO, and CITO
文摘Since Gibbs synthesized a general equilibrium statistical ensemble theory, many theorists have attempted to generalized the Gibbsian theory to non-equilibrium phenomena domain, however the status of the theory of non-equilibrium phenomena can not be said as firm as well established as the Gibbsian ensemble theory. In this work, we present a framework for the non-equilibrium statistical ensemble formalism based on a subdynamic kinetic equation (SKE) rooted from the Brussels-Austin school and followed by some up-to-date works. The constructed key is to use a similarity transformation between Gibbsian ensembles formalism based on Liouville equation and the subdynamic ensemble formalism based on the SKE. Using this formalism, we study the spin-Boson system, as cases of weak coupling or strongly coupling, and obtain the reduced density operators for the Canonical ensembles easily.
文摘For studying the evolution of electrorheological fluids influenced by the external fields, we present a general formulation to obtain the formula of evolution of the density operator. This formulation is based on the subdynamics of driven system. As showing application of this formulism we demonstrate an algorithm to calculate the conductivity of electrorheological fluid based on an electrostatic polarization model. The method presented here can be used to obtain the evolution of expectation of physical observables for electrorheological fluids. (Author abstract) 8 Refs.
文摘We present here a formulation of subdynamics to calculatee Wannier-Mott excitons in a Nami-semiconductor driven by a strong electrical field. The formula of the evolution of density operator for the time-dependent Liouvillian is given. In terms of this formula rue can calculate the nonlinear response of the absorbing coefficient of light for nami-semicouducton. The results are helpful to study either the nonlinear behavior of the Wannier-Mott excitons in a nami-semicouducton driven by a strong harmonic field or the optic properties of these Kinds of materials.
文摘Taking the formulation of the Daqing Oil. fived five-year development plan as the background, this paper puts forward the concept of dynamic programming with aftereffects and gives the principle of suboptimality as its approximate solution. By using this principle an oil field development subdynamic programming model has been made and the oil field development program based on this model has achieved obvious economic benefits.
文摘A formalism of quantum computing with 2000 qubits or more in decoherence-free subspaces is presented. The subspace is triangular with respect to the index related to the environment. The quantum states in the subspaces are projected states ruled by a subdynamic kinetic equation. These projected states can be used to perform general, large-scale decoherence-free quantum computing.
