Results 41 to 50 of about 165,267 (307)
Efficient algebraic solution for a time-dependent quantum harmonic oscillator
Physica Scripta, 2020 Using operator ordering techniques based on Baker-Campbell-Hausdorff (BCH) relations of the su(1,1) Lie algebra and a time-splitting approach, we present an alternative method of solving the dynamics of a time-dependent quantum harmonic oscillator for ...
D. M. Tibaduiza +5 more
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The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator [PDF]
Results in Mathematics, 2019 The paper focuses on various properties and applications of the homotopy operator, which occurs in the Poincaré lemma. In the first part, an abstract operator calculus is constructed, where the exterior derivative is an abstract derivative and the ...
R. Kycia
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Mpemba effect and super-accelerated thermalization in the damped quantum harmonic oscillator [PDF]
QuantumThe behavior of systems far from equilibrium is often complex and unpredictable, challenging and sometimes overturning the physical intuition derived from equilibrium scenarios.
Stefano Longhi
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Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation [PDF]
, 2017 We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in $x_j$, $-i \partial_j$ with coefficients which depend ...
D. Bambusi +3 more
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Hemispheroidal quantum harmonic oscillator [PDF]
Physics Letters A, 2008 4 pages, 3 figures, 1 ...
Andrey V. Solov’yov +3 more
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Quadratic open quantum harmonic oscillator [PDF]
Letters in Mathematical Physics, 2020 We study the quantum open system evolution described by a Gorini-Kossakowski-Sudarshan-Lindblad generator with creation and annihilation operators arising in Fock representations of the $sl_2$ Lie algebra. We show that any initial density matrix evolves to a fully supported density matrix and converges towards a unique equilibrium state.
Dhahri A., Fagnola F., Yoo H. J.
openaire +5 more sources
Driven harmonic oscillator as a quantum simulator for open systems [PDF]
, 2006 We show theoretically how a driven harmonic oscillator can be used as a quantum simulator for non-Markovian damped harmonic oscillator. In the general framework, the results demonstrate the possibility to use a closed system as a simulator for open ...
C. W. Gardiner +8 more
core +2 more sources
Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime
Scientific Reports, 2022 We derive the Hamiltonian of a superconducting circuit that comprises a single-Josephson-junction flux qubit inductively coupled to an LC oscillator, and we compare the derived circuit Hamiltonian with the quantum Rabi Hamiltonian, which describes a two ...
F. Yoshihara +4 more
doaj +1 more source
Quantum computation with harmonic oscillators [PDF]
Technical Digest. CLEO/Pacific Rim 2001. 4th Pacific Rim Conference on Lasers and Electro-Optics (Cat. No.01TH8557), 2002 Summary form only given. The use of continuous-variable (CV) quantum computing allows information to be encoded and processed much more compactly and efficiently than with discrete-variable (qubit) computing. That is, with CV realizations, one can perform quantum information processes using fewer coupled quantum systems: a considerable advantage for ...
H. de Guise +2 more
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Discrete Quantum Harmonic Oscillator [PDF]
Symmetry, 2019 In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connected with the equation for Meixner polynomials.
Dobrogowska, Alina +1 more
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