43 citations · 80 across the 14 of their papers we have counts for
14 papers
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 \…
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…
Quantum mean-field treatment of the dynamics of a two-level atom in a simple cubic lattice
Yamen Hamdouni
The mean field approximation is used to investigate the general features of the dynamics of a two-level atom in a ferromagnetic lattice close to the Curie temperature. Various anal…
Quantum master equation approach to heat transport in dielectrics and semiconductors
Yamen Hamdouni
We report on the derivation of the heat transport equation for nonmetals using a quantum Markovian master equation in Lindblad form. We first establish the equations of motion desc…
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…
The internal energy, the magnetization and the specific heat of the Heisenberg XX chain at low temperatures
Yamen Hamdouni
We derive power series expansions for the magnetization, the internal energy, and the specific heat of the Heisenberg XX chain that are valid at low temperatures. The coefficients…
Aspects of the decoherence in high spin environments: Breakdown of the mean-field approximation
Yamen Hamdouni
The study of the decoherence of qubits in spin systems is almost restricted to environments whose constituents are spin- particles. In this paper we consider environme…
Notes on the phase space formulation of the propagator of Hamiltonians with spatially-dependent kinetic energy
Yamen Hamdouni
These short notes present to the reader (students, in particular) a concise approach to the derivation of the propagator of Hamiltonians with position-dependent kinetic energy. The…
Random spin distributions and the diffusion equation
Yamen Hamdouni
We show that the probability distribution corresponding to a fully random tracial state of a system of spin-S particles satisfies a diffusion-like equation. The diffusion coefficie…
A nontrivial bosonic representation of large spin systems at high temperatures
Yamen Hamdouni
We report on a nontrivial bosonization scheme for spin operators. It is shown that in the large limit, at infinite temperature, the operators $\sum_{k=1}^N \hat s_{k\pm}/\sqrt{…
On quantum mechanical transport coefficients in nonequilibrium nuclear processes with application to heavy-ion collisions
Yamen Hamdouni
The elements of the quantum mechanical diffusion matrix, leading to a Gibbs equilibrium state for a set of coupled quantum harmonic oscillators are derived within Lindblad's ax…
Exactly solvable model for the dynamics of two spin-1/2 particles embedded in separate spin star environments
Yamen Hamdouni
Exact analytical results for the dynamics of two interacting qubits each of which is embedded in its own spin star bath are presented. The time evolution of the concurrence and the…
On the partial trace over collective spin-degrees of freedom
Yamen Hamdouni
We derive analytical properties for the degeneracy occurring in the decomposition of the state space $\mathbb C^{2…
Time evolution and decoherence of a spin-1/2 particle coupled to a spin bath in thermal equilibrium
Y. Hamdouni, F. Petruccione
The time evolution of a spin-1/2 particle under the influence of a locally applied external magnetic field, and interacting with anisotropic spin environment in thermal equilibrium…