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International Journal of Atomic and Nuclear Physics

Quantum Optimal Control for Particles at Cross-Section in Nucleus

Quan‐Fang Wang

Published Dec 31, 2016• 0 citations
Publisher

Abstract

In this work, a novel concept abstract surface (cross-section at nucleus) is proposed firstly. Quantum optimal control is interested in taking particles at Yukawa interaction of cross-section σ in the nucleus as target for controlling by external force. In the nucleus, as intersecting surface full of particles can be considered for applying control theory and numerical simulation using a stable semi-discrete algorithm. Theoretical investigation, computational approach and experimental demonstration had accomplished.

DOI
10.35840/2631-5017/2502

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In this work, a novel concept abstract surface (cross-section at nucleus) is proposed firstly. Quantum optimal control is interested in taking particles at Yukawa interaction of cross-section σ in the nucleus as target for controlling by external force. In the nucleus, as intersecting surface full of particles can be considered for applying control theory and numerical simulation using a stable semi-discrete algorithm. Theoretical investigation, computational approach and experimental demonstration had accomplished.
Beyond the controlling of molecules and atoms, quantum control step forward to a new era of achieving control at nucleus scale. This work is to attempt the investigation of quantum controlling with the interaction between two heavy particles (e.g. nucleon and meson). The interaction, which expressed as coupled Schrodinger and Klein-Gordon equations, will be the target of controlling. Experiment demonstration illustrate that theoretical study combining with computational control is effected to performance.
Beyond the controlling of molecules and atoms, quantum control step forward to a new era of achieving control at nucleus scale. This work is to attempt the investigation of quantum controlling with the interaction between two heavy particles (e.g. nucleon and meson). The interaction, which expressed as coupled Schrodinger and Klein-Gordon equations, will be the target of controlling. Experiment demonstration illustrate that theoretical study combining with computational control is effected to performance.
In this work, time-depended Schrodinger equation described particles at matter (crystal, catalysis, metal) surface could be considered as propose of numerical control of quantum system. Accessing existing physical experimental results on the motion of particles (molecules, atoms) at surface, based on variational method of quantum control theory in Hilbert space, using density function theory (DFT), time-depended Schrodinger equation to proceed the investigation of computational approach. To do quantum calculation at surface, physically, first needs a concept as control goal: such as breaking a chemical bond as target; reducing energy of high intensity shaped laser pulse. Particles at surface is a kind of constrain control for spatial variable. Optimal control is to find and characterize the quantum optima for minimizing or maximizing the cost functional. Control methods contain selecting chemical reagent, designing chemical reaction, making control scope for a quantized system: time varying Schrodinger equation. Precisely, for general quadratic cost function, in two or three dimensional cases, a semi discrete (time continuous, spatial discrete) algorithm consisting of finite element method and conjugate gradient method, would be utilized for solving a numerical solution of state system, and obtaining quantum optimal control from a initial guess of control input. It is quite curious: what is the difference of control particles occurred at surface than control free particles? whether one can develop a suit of theory or methodology for quantum surface control? It is certainly expected to connect theoretical control, to numerical or computational control, and to experimental control as carrying out quantum system control of particles on the surface. It is desired that quantum control theory (QCT) for quantum dot at surface would be evidenced in visualization method, and attained confidential verification in the guidance of real-time computer-aided experiments in the viewpoint of chemistry and physics.
Quantum control of elementary particle at nucleon had already been investigated for a couple of decades at the frontier area both in quantum physics and system control. At the nucleus, a kind of control for particles motion had been considered in the form of Klein-Gordon-Schrödinger equation, which is a system describing the Yukawa interaction between nucleon (e.g. proton, neutron) and meson. The aim of this paper is trying to find an external force to act at one of the particles to change the particle from its ground state to reach its exciting state.
In this work, time-depended Schrodinger equation described particles at matter (crystal, catalysis, metal) surface could be considered as propose of numerical control of quantum system. Accessing existing physical experimental results on the motion of particles (molecules, atoms) at surface, based on variational method of quantum control theory in Hilbert space, using density function theory (DFT), time-depended Schrodinger equation to proceed the investigation of computational approach. To do quantum calculation at surface, physically, first needs a concept as control goal: such as breaking a chemical bond as target; reducing energy of high intensity shaped laser pulse. Particles at surface is a kind of constrain control for spatial variable. Optimal control is to find and characterize the quantum optima for minimizing or maximizing the cost functional. Control methods contain selecting chemical reagent, designing chemical reaction, making control scope for a quantized system: time varying Schrodinger equation. Precisely, for general quadratic cost function, in two or three dimensional cases, a semi discrete (time continuous, spatial discrete) algorithm consisting of finite element method and conjugate gradient method, would be utilized for solving a numerical solution of state system, and obtaining quantum optimal control from a initial guess of control input. It is quite curious: what is the difference of control particles occurred at surface than control free particles? whether one can develop a suit of theory or methodology for quantum surface control? It is certainly expected to connect theoretical control, to numerical or computational control, and to experimental control as carrying out quantum system control of particles on the surface. It is desired that quantum control theory (QCT) for quantum dot at surface would be evidenced in visualization method, and attained confidential verification in the guidance of real-time computer-aided experiments in the viewpoint of chemistry and physics.