QUANTUM CONTROL IN NUCLEAR REACTION

2010 ◽  
Vol 19 (03) ◽  
pp. 393-406 ◽  
Author(s):  
QUAN-FANG WANG
Keyword(s):  
Nuclear Reaction ◽  
Quantum Physics ◽  
Laboratory Experiments ◽  
Quantum Control ◽  
High Dimensions ◽  
Molecular Control ◽  
Laser Technology ◽  
Theoretical Design ◽  
Great Progress ◽  
Klein Gordon

A frontier field beyond atom and molecular control will be concentrated on the controlling of nuclei. Both theoretical design and laboratory experiments extremely need to be developed with the great progress of quantum physics and laser technology. This work is to focus on the computational approach to achieve the quantum control in nuclear reaction with a stable semi-discrete numerical paradigm in high dimensions. A reasonable physical model is established by multi-Klein–Gordon Schrödinger dynamics. Demonstrative experiments would provide the confident guidance to control quantum system at nuclei scale in real laboratory.

scholarly journals Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems

2011 ◽  
Vol 11 (3) ◽  
pp. 363-381 ◽  
Author(s):  
Daniel Kressner ◽  
Christine Tobler
Keyword(s):  
Degrees Of Freedom ◽  
Quantum Physics ◽  
Eigenvalue Problems ◽  
Low Rank ◽  
Elliptic Pde ◽  
Tucker Decomposition ◽  
High Dimensions ◽  
Solution Vector ◽  
Matrix Eigenvalue ◽  
Matrix Eigenvalue Problems

AbstractWe consider elliptic PDE eigenvalue problems on a tensorized domain, discretized such that the resulting matrix eigenvalue problem Ax=λx exhibits Kronecker product structure. In particular, we are concerned with the case of high dimensions, where standard approaches to the solution of matrix eigenvalue problems fail due to the exponentially growing degrees of freedom. Recent work shows that this curse of dimensionality can in many cases be addressed by approximating the desired solution vector x in a low-rank tensor format. In this paper, we use the hierarchical Tucker decomposition to develop a low-rank variant of LOBPCG, a classical preconditioned eigenvalue solver. We also show how the ALS and MALS (DMRG) methods known from computational quantum physics can be adapted to the hierarchical Tucker decomposition. Finally, a combination of ALS and MALS with LOBPCG and with our low-rank variant is proposed. A number of numerical experiments indicate that such combinations represent the methods of choice.

scholarly journals Quantum Control for Neutrons in Nuclear Reaction

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Optimal Control ◽  
Variational Method ◽  
Control Theory ◽  
Nuclear Reaction ◽  
Quantum Control ◽  
Many Body ◽  
Chain Reaction ◽  
Quantum Optimal Control ◽  
Full Proof

Quantum control of neutrons in nuclear reaction in considered in this work. Neutrons fission from uranium <sup>235</sup>U of chain reaction is interested to be controlled as target theoretically. Control theory is applied to interacted many-body neutrons collision in the framework of variational method. Full proof is provided for quantum optimal control of scattered poly-neutrons.

scholarly journals Some Exact Solutions for a Klein Gordon Equation

2012 ◽  
Vol 8 (16) ◽  
pp. 57-70 ◽  
Author(s):  
H H Ortíz Álvarez ◽  
F N Jiménez García ◽  
Abel Enrique Posso Agudelo
Keyword(s):  
Exact Solutions ◽  
Quantum Physics ◽  
Gordon Equation ◽  
Direct Consequence ◽  
Kolmogorov Equation ◽  
Science And Engineering ◽  
Klein Gordon ◽  
Symmetry Method ◽  
Groups Of Transformations ◽  
Klein Gordon Equation

In solving practical problems in science and engineering arises as a direct consequence differential equations that explains the dynamics of the phenomena. Finding exact solutions to this equations provides importan information about the behavior of physical systems. The Lie symmetry method allows tofind invariant solutions under certain groups of transformations for differential equations.This method not very well known and used is of great importance in the scientific community. By this approach it was possible to find several exactinvariant solutions for the Klein Gordon Equation uxx − utt = k(u). A particularcase, The Kolmogorov equation uxx − utt = k1u + k2un was considered.These equations appear in the study of relativistic and quantum physics. The general solutions found, could be used for future explorations on the study for other specific K(u) functions.

Computer Simulation of Einstein-Podolsky-Rosen-Bohm Experiments

2016 ◽  
Vol 23 (02) ◽  
pp. 1650010 ◽  
Author(s):  
H. De Raedt ◽  
K. Michielsen
Keyword(s):  
Quantum Physics ◽  
Laboratory Experiments ◽  
Selection Procedure ◽  
Computer Experiments ◽  
Statistical Distributions ◽  
Simulation Approach ◽  
Einstein Podolsky Rosen ◽  
The One ◽  
Event Based ◽  
Physics Experiments

We review an event-based simulation approach which reproduces the statistical distributions of quantum physics experiments by generating detection events one-by-one according to an unknown distribution and without solving a wave equation. Einstein-Podolsky-Rosen-Bohm laboratory experiments are used as an example to illustrate the applicability of this approach. It is shown that computer experiments that employ the same post-selection procedure as the one used in laboratory experiments produce data that is in excellent agreement with quantum theory.

scholarly journals Quantum Optimal Numerical Controlling for Yukawa Interaction of Couple Heavy Particles

2021 ◽  
Author(s):  
Quan-Fang Wang
Keyword(s):  
Quantum Control ◽  
Theoretical Study ◽  
Yukawa Interaction ◽  
Heavy Particles ◽  
New Era ◽  
Klein Gordon ◽  
Control Step

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.

scholarly journals On cosmology in the laboratory

2015 ◽  
Vol 373 (2049) ◽  
pp. 20140354 ◽  
Author(s):  
Ulf Leonhardt
Keyword(s):  
General Relativity ◽  
Event Horizon ◽  
Quantum Physics ◽  
Laboratory Experiments ◽  
Transformation Optics ◽  
Engineering Problems ◽  
Wave Phenomena ◽  
Shed Light ◽  
Recent Laboratory

In transformation optics, ideas from general relativity have been put to practical use for engineering problems. This article asks the question how this debt can be repaid. In discussing a series of recent laboratory experiments, it shows how insights from wave phenomena shed light on the quantum physics of the event horizon.

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