The authors study the time-dependent correlations of free-ends isotropic XY model in a transverse field. boundary effects on longitudinal correlation, namely (Sjz(t)Slz(0)), and bulk dynamic properties are considered at temperature limits T= infinity T=0- (for h>or= mod J ) where results known closed form. correlation (Sjx(t)Slx(0)) is calculated exactly T=0 ), discussed. At result for rederived by using new combination fermion operators.

Time-evolution of the vibrational states two interacting harmonic oscillators in local mode scheme is presented. A local-to-normal transition (LNT) identified and studied from temporal perspective through time-dependent frequencies oscillators. The LNT established as a polyad-breaking phenomenon standpoint for stretching degrees freedom triatomic molecule. This study carried out algebraic representation bosonic operators. dynamics are determined via solutions corresponding nonlinear Ermakov...

This contribution gives a possible solution of the major question whether it is to construct classical mechanical theory which not only contains all advantages Hamiltonian formalism, but also takes into account effects environment on system.

Abstract In this work a nonlinear evolution of pure states finite dimensional quantum system is introduced, in particular Riccati equation. It shown how class dynamics actually Hamiltonian the complex projective space. space it that there superposition rule, consistent with its linear counterpart Hilbert As an example, developed formalism applied to semiclassical Jaynes–Cummings model.

We construct the vector field associated with GKLS generator for systems described by Gaussian states. This is defined on dual space of algebra operators, restricted to operators quadratic in position and momentum. It shown that dynamics accepts a decomposition principle, is, this can be decomposed three parts, conservative Hamiltonian component, gradient-like Choi-Krauss field. The last two terms are considered "perturbation" dissipation. Examples presented harmonic oscillator different...

In this work, it is shown that there an inherent nonlinear evolution in the dynamics of so-called generalized coherent states. To show this, immersion a classical manifold into Hilbert space quantum mechanics employed. Then, one may parameterize time dependence wave function through variation parameters manifold. Therefore, allows us to consider principle analogy, i.e., using procedures and structures available from setting employ them framework.

Starting from the geometric description of quantum systems, we propose a novel approach to time-independent dissipative processes according which energy is dissipated but coherence states preserved. Our proposal consists extending standard symplectic picture mechanics contact manifold and then obtaining dissipation by using appropriate Hamiltonian dynamics. We work out case finite-level systems for it shown, means corresponding master equation, that resulting dynamics constitute viable...

Starting from the geometric description of quantum systems, we propose a novel approach to time-independet dissipative processes according which energy is dissipated but coherence states preserved. Our proposal consists on extending standard symplectic picture mechanics contact manifold and then obtaining dissipation using an appropriate Hamiltonian dynamics. We work out case finite-level for it shown by means corresponding master equation that resulting dynamics constitutes viable...