Results 91 to 100 of about 98,086 (227)
Quantum harmonic oscillators and thermalization
, 2021 We study a quantum harmonic oscillator undergoing thermalization. To describe the thermalization process, we generalize the Ermakov-Lewis-Riesenfeld (ELR) invariant method for the oscillator. After imposing appropriate conditions on the thermalization process, we introduce an ansatz equation that describes the time evolution effectively.
Kim, Hyeong-Chan, Lee, Youngone
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The Fourier Transform on Quantum Euclidean Space
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
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Quantum Dynamics of a Few-Photon Parametric Oscillator
Physical Review X, 2019 Modulating the frequency of a harmonic oscillator at nearly twice its natural frequency leads to amplification and self-oscillation. Above the oscillation threshold and in the presence of a nonlinearity, the field settles into a coherent oscillating ...
Zhaoyou Wang +6 more
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A quantum heat machine from fast optomechanics
New Journal of Physics, 2020 We consider a thermodynamic machine in which the working fluid is a quantized harmonic oscillator that is controlled on timescales that are much faster than the oscillator period.
James S Bennett +3 more
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, 2018 Quantum Brownian motion of a harmonic oscillator in the Markovian approximation is described by the respective Caldeira-Leggett master equation. This master equation can be brought into Lindblad form by adding a position diffusion term to it.
Bernád, J. Z., Csirik, M. A., Homa, G.
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Damped quantum harmonic oscillator
, 2006 36 pages, review ...
Isar, A., Săndulescu, A.
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Analytical solution to the Schrodinger equation of a laser-driven correlated two-particle system
, 2002 The time-dependent quantum system of two laser-driven electrons in a harmonic oscillator potential is analysed, taking into account the repulsive Coulomb interaction between both particles.
Bergou +9 more
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A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, EarlyView.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Supramolecular Host‐Guest Complexation Dynamics by Cost‐Efficient Electronic Structure Methods
Chemistry – A European Journal, EarlyView.We present a cost‐effective multilevel workflow for the kinetic profiling of host–guest systems, illustrated with cucurbit[6]uril and alkylammonium cations. The method combines rapid docking and reaction path searches at the semi‐empirical level, with refinement of the results using modern density functional theory, accurately reproducing experiment ...
Thomas Gasevic +6 more
wiley +1 more source
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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