3 papers
quant-ph2024
Exact lower bound of the uncertainty principle product for the harmonic oscillator with position-momentum coupling
Yamen Hamdouni
We show that the uncertainty principle product for the position and momentum operators for a system described by the Hamiltonian $ \hat H= \frac{\hat{p}^2}{2m} +\frac{1}{2} m ω^2 \…
quant-ph2023
Diffusion coefficients preserving long-time correlations: Consequences on the Einstein relation and on entanglement in a bosonic Bogoliubov system
Yamen Hamdouni
We analytically derive the diffusion coefficients that drive a system of coupled harmonic oscillators to an equilibrium state exhibiting persistent correlations. It is shown th…
quant-ph2019
Decay rates and decoherence of an interstitial two-level spin impurity in a ferromagnetic lattice
Yamen Hamdouni
The decay rate of an interstitial two-level spin impurity, located in the center of a unit cell of an anisotropic ferromagnetic lattice subjected to an external magnetic field is d…