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Thermalization in a Quantum Harmonic Oscillator with Random Disorder [PDF]

open access: yesEntropy, 2020
We propose a possible scheme to study the thermalization in a quantum harmonic oscillator with random disorder. Our numerical simulation shows that through the effect of random disorder, the system can undergo a transition from an initial nonequilibrium ...
Ya-Wei Hsueh   +2 more
doaj   +2 more sources

The Harmonic Oscillator on the Heisenberg Group [PDF]

open access: yesComptes Rendus. Mathématique, 2020
In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
doaj   +5 more sources

Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments

open access: yesNew Journal of Physics, 2013
We formulate exact generalized nonequilibrium fluctuation relations for the quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each of the different baths is prepared in its own individual (in general nonthermal) state.
D Pagel   +4 more
doaj   +2 more sources

On relativistic harmonic oscillator

open access: yesHadronic Journal, 2017
A relativistic quantum harmonic oscillator in 3+1 dimensions is derived from a quaternionic non-relativistic quantum harmonic oscillator. This quaternionic equation also yields the Klein-Gordon wave equation with a covariant (space-time dependent) mass ...
Arbab, A. I.
core   +2 more sources

Harmonic Oscillator SUSY Partners and Evolution Loops [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained.
David J. Fernández
doaj   +5 more sources

Description of ultrastrong light–matter interaction through coupled harmonic oscillator models and their connection with cavity-QED Hamiltonians [PDF]

open access: yesNanophotonics
Classical coupled harmonic oscillator models are capable of describing the optical and infrared response of nanophotonic systems where a cavity photon couples to dipolar matter excitations. The distinct forms of coupling adopted in these classical models
Muniain Unai   +4 more
doaj   +2 more sources

Multi objective optimization algorithm for hybrid quantum harmonic oscillator and its application in rotor system optimization [PDF]

open access: yesScientific Reports
The importance of support system dynamic fidelity in capturing turbine rotor performance in unbalance response and critical speed is considered. Lobal optimization methods based on multi-scale quantum harmonic oscillator algorithm and genetic algorithm ...
Jun Li   +6 more
doaj   +2 more sources

On then-dimensional harmonic oscillator [PDF]

open access: bronzeAnnali di Matematica Pura ed Applicata, 1979
In this paper, various oscillatory properties of solutions of the scalar equation x″+q(t)x=0 are extended to the vector equation u″+Q(t)u=0.
Sui-Sun Cheng
openalex   +2 more sources

Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase

open access: yesNuclear Physics B, 2022
We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time ‘t’ is also an operator.
Anwesha Chakraborty   +2 more
doaj   +1 more source

Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]

open access: yesIranian Journal of Astronomy and Astrophysics, 2019
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
doaj   +1 more source

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