Quantum tunneling and Floquet energy in the Non-Hermitian Bose-Hubbard model

This paper seeks to discuss why information theory is so important. What is information, knowledge is interaction of human mind and information, but there is a difference between information theory and knowledge theory. Look into information and particle theory and see how information must have its roots in particle theory. This leads to the concept of spatial dimensions, information density, complexity, particle density, can there be particle complexity, and re-looking at the double slit experiment and quantum tunneling. Information functions/ relations are discussed.

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Dualism QM and GR

10.31219/osf.io/8nzwd ◽

2019 ◽

Author(s):

Vitaly Kuyukov

Keyword(s):

Quantum Mechanics ◽

General Theory ◽

Noncommutative Geometry ◽

Quantum Tunneling ◽

Closed Surface ◽

Theory Of Relativity ◽

General Theory Of Relativity ◽

Surface Integral ◽

Definition Of

Quantum tunneling of noncommutative geometry gives the definition of time in the form of holography, that is, in the form of a closed surface integral. Ultimately, the holography of time shows the dualism between quantum mechanics and the general theory of relativity.

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Quantum Simulation of the Hubbard Model Using Ultra-Cold Atoms

10.21236/ada585246 ◽

2008 ◽

Author(s):

Kenneth M. O'Hara

Keyword(s):

Hubbard Model ◽

Cold Atoms ◽

Quantum Simulation

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Quantum Tunneling

10.1093/oso/9780198808275.003.0014 ◽

2017 ◽

Author(s):

Frank S. Levin

Keyword(s):

Quantum Tunneling ◽

Alpha Particles ◽

Attractive Potential ◽

Scanning Tunneling ◽

Finite Width ◽

Potential Well ◽

Surface Molecules ◽

Repulsive Coulomb ◽

The Subject ◽

The One

Quantum tunneling, wherein a quanject has a non-zero probability of tunneling into and then exiting a barrier of finite width and height, is the subject of Chapter 13. The description for the one-dimensional case is extended to the barrier being inverted, which forms an attractive potential well. The first application of this analysis is to the emission of alpha particles from the decay of radioactive nuclei, where the alpha-nucleus attraction is modeled by a potential well and the barrier is the repulsive Coulomb potential. Excellent results are obtained. Ditto for the similar analysis of proton burning in stars and yet a different analysis that explains tunneling through a Josephson junction, the connector between two superconductors. The final application is to the scanning tunneling microscope, a device that allows the microscopic surfaces of solids to be mapped via electrons from the surface molecules tunneling into the tip of the STM probe.

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