The multi-faceted inverted harmonic oscillator: Chaos and complexity [PDF]
SciPost Physics Core, 2021 The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory.
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque, Jeff Murugan, Bin Yan
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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 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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Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: the oddness of its even-parity solutions [PDF]
, 2011 We derive the energy levels associated with the even-parity wavefunctions of the harmonic oscillator with an additional delta-function potential at the origin.
J. Viana‐Gomes, N. Peres
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Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments
New Journal of Physics, 2013 We formulate exact generalized nonequilibrium fluctuation relations for the quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each of the different baths is prepared in its own individual (in general nonthermal) state.
D Pagel +4 more
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Vibrational heat-bath configuration interaction with semistochastic perturbation theory using harmonic oscillator or VSCF modals. [PDF]
J Chem Phys, 2023 Tran HK, Berkelbach TC.
europepmc +3 more sources
Chemical Reviews, 2016 Molecular mechanics force fields that explicitly account for induced polarization represent the next generation of physical models for molecular dynamics simulations.
Justin A Lemkul, Jing Huang, Benoit Roux
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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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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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Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator [PDF]
Journal of High Energy Physics, 2020 We provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum mechanics with a potential whose part is an inverted harmonic oscillator ...
K. Hashimoto +3 more
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