Results 41 to 50 of about 162,690 (325)
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.
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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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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
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Quantum harmonic oscillator with time-dependent mass [PDF]
Modern physics letters B, 2017 We use the Fourier operator to transform a time-dependent mass quantum harmonic oscillator into a frequency-dependent one. Then we use Lewis–Ermakov invariants to solve the Schrödinger equation by using squeeze operators. Finally, we give two examples of
Irán Ramos-Prieto +3 more
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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
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Information-Theoretic Models for Physical Observables
Entropy, 2023 This work addresses J.A. Wheeler’s critical idea that all things physical are information-theoretic in origin. In this paper, we introduce a novel mathematical framework based on information geometry, using the Fisher information metric as a particular ...
D. Bernal-Casas, J. M. Oller
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Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay [PDF]
, 2016 In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of the perturbation in [] are weakened from polynomial decay to logarithmic decay.
Zhiguo Wang, Zhenguo Liang
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