ABC of ladder operators for rationally extended quantum harmonic oscillator systems [PDF]
, 2017 The problem of construction of ladder operators for rationally extended quantum harmonic oscillator (REQHO) systems of a general form is investigated in the light of existence of different schemes of the Darboux–Crum–Krein–Adler transformations by which ...
J. Cariñena, M. Plyushchay
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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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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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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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A linear chaotic quantum harmonic oscillator [PDF]
Applied Mathematics Letters, 1999 This very brief article examines the chaoticity in the sense of Li and Yorke of two linear operators on \(L^2(\mathbb R)\). The first, which is known to be topologically transitive, is shown to support a chaotic set in the sense of Li and Yorke. This (a little unclearly) shows Li-Yorke-chaoticity of a quantum oscillator. The second (related), parameter
Pei-De Liu +4 more
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Ground-state isolation and discrete flows in a rationally extended quantum harmonic oscillator [PDF]
, 2016 Ladder operators for the simplest version of a rationally extended quantum harmonic oscillator (REQHO) are constructed by applying a Darboux transformation to the quantum harmonic oscillator system.
J. Cariñena, M. Plyushchay
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Thermal and Quantum Fluctuations of Harmonic Oscillator
JOURNAL OF PHYSICS AND CHEMISTRY RESEARCH, 2022 4 pages, no ...
Tanaka, Shigenori, Komeiji, Yuto
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Quantum Harmonic Oscillator Systems with Disorder [PDF]
Journal of Statistical Physics, 2012 We study many-body properties of quantum harmonic oscillator lattices with disorder. A sufficient condition for dynamical localization, expressed as a zero-velocity Lieb-Robinson bound, is formulated in terms of the decay of the eigenfunction correlators for an effective one-particle Hamiltonian.
Nachtergaele, Bruno +2 more
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Radiation reaction and quantum damped harmonic oscillator
, 2005 By taking a Klein-Gordon field as the environment of an harmonic oscillator and using a new method for dealing with quantum dissipative systems (minimal coupling method), the quantum dynamics and radiation reaction for a quantum damped harmonic ...
F. KHEIRANDISH +5 more
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