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A quadratic time-dependent quantum harmonic oscillator [PDF]
Scientific Reports, 2023 We present a Lie algebraic approach to a Hamiltonian class covering driven, parametric quantum harmonic oscillators where the parameter set—mass, frequency, driving strength, and parametric pumping—is time-dependent.
F. E. Onah +5 more
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Thermalization in a Quantum Harmonic Oscillator with Random Disorder [PDF]
Entropy, 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
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Quantum Harmonic Oscillator Spectrum Analyzers. [PDF]
Phys Rev Lett, 2021 Characterization and suppression of noise are essential for the control of harmonic oscillators in the quantum regime. We measure the noise spectrum of a quantum harmonic oscillator from low frequency to near the oscillator resonance by sensing its response to amplitude modulated periodic drives with a qubit.
Keller J +7 more
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Quantum Damped Harmonic Oscillator [PDF]
, 2012 In this chapter we treat the quantum damped harmonic oscillator, and study mathematical structure of the model, and construct general solution with any initial condition, and give a quantum counterpart in the case of taking coherent state as an initial ...
Fujii, Kazuyuki
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Multi objective optimization algorithm for hybrid quantum harmonic oscillator and its application in rotor system optimization [PDF]
Scientific ReportsThe 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
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Harmonic Oscillator SUSY Partners and Evolution Loops [PDF]
Symmetry, 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
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Quantum dynamics of the damped harmonic oscillator [PDF]
New Journal of Physics, 2012 The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic
T G Philbin
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Description of ultrastrong light–matter interaction through coupled harmonic oscillator models and their connection with cavity-QED Hamiltonians [PDF]
NanophotonicsClassical 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
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A discrete quantum model of the harmonic oscillator [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We construct a new model of the quantum oscillator, whose energy spectrum is equally-spaced and lower-bounded, whereas the spectra of position and momentum are a denumerable non-degenerate set of points in [-1,1] that depends on the deformation parameter q from (0,1). We provide its explicit wavefunctions, both in position and momentum representations,
Natig M. Atakishiyev +2 more
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Finite quantum kinematics of the harmonic oscillator [PDF]
Journal of Mathematical Physics, 2006 Arbitrarily small changes in the commutation relations suffice to transform the usual singular quantum theories into regular quantum theories. This process is an extension of canonical quantization that we call general quantization. Here we apply general quantization to the time-independent linear harmonic oscillator.
Mohsen Shiri-Garakani, David Finkelstein
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