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
Unitary relations in time-dependent harmonic oscillators [PDF]
, 1999 For a harmonic oscillator with time-dependent (positive) mass and frequency, an unitary operator is shown to transform the quantum states of the system to those of a harmonic oscillator system of unit mass and time-dependent frequency, as well as ...
Caldirola P +18 more
core +2 more sources
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
semanticscholar +1 more source
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
semanticscholar +1 more source
Quantum Harmonic Oscillator State Control in a Squeezed Fock Basis. [PDF]
Physical Review Letters, 2016 We demonstrate control of a trapped-ion quantum harmonic oscillator in a squeezed Fock state basis, using engineered Hamiltonians analogous to the Jaynes-Cummings and anti-Jaynes-Cummings forms. We demonstrate that for squeezed Fock states with low n the
D. Kienzler +5 more
semanticscholar +1 more source
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
doaj +1 more source
Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment [PDF]
, 2007 In this paper we derive an exact master equation for two coupled quantum harmonic oscillators interacting via bilinear coupling with a common environment at arbitrary temperature made up of many harmonic oscillators with a general spectral density ...
B. L. Hu +5 more
core +2 more sources
ABC of ladder operators for rationally extended quantum harmonic oscillator systems [PDF]
, 2017 The problem of construction of ladder operators for rationally extended quantum harmonic oscillator (REQHO) systems of a general form is investigated in the light of existence of different schemes of the Darboux–Crum–Krein–Adler transformations by which ...
J. Cariñena, M. Plyushchay
semanticscholar +1 more source
Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process [PDF]
arXiv.org, 2016 We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2ℵ+1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then
Shan Ma +3 more
semanticscholar +1 more source