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Quartic anharmonic many-body oscillator [PDF]
, 2004 Two quantum quartic anharmonic many-body oscillators are introduced. One of them is the celebrated Calogero model (rational $A_n$ model) modified by quartic anharmonic two-body interactions which support the same symmetry as the Calogero model.
Turbiner, Alexander V.
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A Simple Anharmonic Oscillator [PDF]
, 2000 Journal of Mathematics and Science: Collaborative Explorations ...
Boyd, J. +2 more
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On the quantum anharmonic oscillator and Padé approximations [PDF]
Ядерна фізика та енергетика, 2021 For the quantum quartic anharmonic oscillator with the Hamiltonian H = (p2+x2)/2+λx4, which is one of the traditional quantum-mechanical and quantum-field-theory models, we study summation of its factorially divergent perturbation series by the proposed ...
V. A. Babenko, N. M. Petrov
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From quartic anharmonic oscillator to double well potential
Acta Polytechnica, 2022 Quantum quartic single-well anharmonic oscillator Vao(x) = x2 + g2x4 and double-well anharmonic oscillator Vdw(x) = x2(1−gx)2 are essentially one-parametric, they depend on a combination (g2ℏ).
Alexander V. Turbiner +1 more
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The Quantum Geometric Tensor in a Parameter-Dependent Curved Space
Entropy, 2022 We introduce a quantum geometric tensor in a curved space with a parameter-dependent metric, which contains the quantum metric tensor as the symmetric part and the Berry curvature corresponding to the antisymmetric part.
Joan A. Austrich-Olivares +1 more
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Nanomaterials, 2022 In this paper, we calculated the electronic and optical properties of the harmonic oscillator and single and double anharmonic oscillators, including higher-order anharmonic terms such as the quartic and sextic under the non-resonant intense laser field.
Melike Behiye Yücel +2 more
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Quantum Anharmonic Oscillators: A Truncated Matrix Approach
Positron, 2021 This study aims at implementing a truncated matrix approach based on harmonic oscillator eigenfunctions to calculate energy eigenvalues of anharmonic oscillators containing quadratic, quartic, sextic, octic, and decic anharmonicities. The accuracy of the
Redi Kristian Pingak +3 more
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Anharmonic oscillator: a solution [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 It is shown that for the one-dimensional quantum anharmonic oscillator with potential $V(x)= x^2+g^2 x^4$ the Perturbation Theory (PT) in powers of $g^2$ (weak coupling regime) and the semiclassical expansion in powers of $\hbar$ for energies coincide. It is related to the fact that the dynamics in $x$-space and in $(gx)$-space corresponds to the same ...
Alexander V Turbiner, J C del Valle
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Deterministic preparation of nonclassical states of light in cavity optomechanics
Physical Review Research, 2021 Cavity-optomechanics is an ideal platform for the generation non-Gaussian quantum states due to the anharmonic interaction between the light field and the mechanical oscillator, but it is exactly this interaction that also impedes the preparation of pure
Yuxun Ling, Florian Mintert
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Excited states from eigenvector continuation: The anharmonic oscillator
Physics Letters B, 2022 Eigenvector continuation (EC) has recently attracted a lot attention in nuclear structure and reactions as a variational resummation tool for many-body expansions.
M. Companys Franzke +3 more
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