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
doaj +1 more source
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
semanticscholar +1 more source
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
openaire +5 more sources
Thermal and Quantum Fluctuations of Harmonic Oscillator
JOURNAL OF PHYSICS AND CHEMISTRY RESEARCH, 2022 4 pages, no ...
Tanaka, Shigenori, Komeiji, Yuto
openaire +2 more sources
On a hidden symmetry of quantum harmonic oscillators [PDF]
Journal of Difference Equations and Applications, 2013 11 pages, 20 ...
Sergei K. Suslov +2 more
openaire +3 more sources
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
core +3 more sources
General Solution of the Quantum Damped Harmonic Oscillator
, 2008 In this paper the general solution of the quantum damped harmonic oscillator is given.Comment: Latex ; 10 pages ; no figure ; typos corrected.
Breuer H.-P. +4 more
core +1 more source
Discretized representations of harmonic variables by bilateral Jacobi operators
Discrete Dynamics in Nature and Society, 2000 Starting from a discrete Heisenberg algebra we solve several representation problems for a discretized quantum oscillator in a weighted sequence space. The Schrödinger operator for a discrete harmonic oscillator is derived. The representation problem for
Andreas Ruffing
doaj +1 more source
Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping [PDF]
, 2015 We consider the model of a quantum harmonic oscillator governed by a Lindblad master equation where the typical drive and loss channels are multi-photon processes instead of single-photon ones; this implies a dissipation operator of order 2k with integer
R. Azouit, A. Sarlette, P. Rouchon
semanticscholar +1 more source
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
core +1 more source