Transition to sub-Planck structures through the superposition of q-oscillator stationary states [PDF]
, 2010 We investigate the superposition of four different quantum states based on the q-oscillator. These quantum states are expressed by means of Rogers-Szego polynomials.
Jafarov, EI, Van der Jeugt, Joris
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Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay [PDF]
, 2016 In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of the perturbation in [] are weakened from polynomial decay to logarithmic decay.
Zhiguo Wang, Zhenguo Liang
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Quantum Harmonic Oscillator State Control in a Squeezed Fock Basis. [PDF]
Physical Review Letters, 2016 We demonstrate control of a trapped-ion quantum harmonic oscillator in a squeezed Fock state basis, using engineered Hamiltonians analogous to the Jaynes-Cummings and anti-Jaynes-Cummings forms. We demonstrate that for squeezed Fock states with low n the
D. Kienzler +5 more
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Exact diagonalization of the D-dimensional spatially confined quantum harmonic oscillator [PDF]
Kragujevac Journal of Science, 2016 In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues, such methods often involve indirect approaches such as searching for the ...
Kunle Adegoke +4 more
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Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process [PDF]
arXiv.org, 2016 We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2ℵ+1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then
Shan Ma +3 more
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On a hidden symmetry of quantum harmonic oscillators [PDF]
Journal of Difference Equations and Applications, 2013 11 pages, 20 ...
Lopez, Raquel M. +2 more
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Quantum counterparts of VIIα, IIIα=1, VIα≠1 over the harmonic oscillator in semiclassical approximation; pp. 347–354 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of some real 3-dimensional Lie algebras. The Jacobi operators of these quantum algebras are studied in semiclassical approximation.
Eugen Paal, Jüri Virkepu
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Semiclassical superoscillations: interference, evanescence, post-WKB
New Journal of Physics, 2021 The concept of superoscillations is extended beyond bandlimited functions, to include monochromatic waves in space-varying media, such as wavefunctions representing quantum particles in non-constant potentials.
M V Berry, Pragya Shukla
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Information entropic measures of a quantum harmonic oscillator in symmetric and asymmetric confinement within an impenetrable box [PDF]
, 2016 Information‐based uncertainty measures like Shannon entropy, Onicescu energy and Fisher information (in position and momentum space) are employed to understand the effect of symmetric and asymmetric confinement in a quantum harmonic oscillator. Also, the
Abhisek Ghosal +2 more
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, 2006 The inverted harmonic oscillator problem is investigated quantum mechanically. The exact wave function for the confined inverted oscillator is obtained and it is shown that the associated energy eigenvalues are discrete and it is given as a linear ...
A Coruh +8 more
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