We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. In particular we obtain explicit estimates the convergence radius perturbation series and error Quantum Rabi Model including resonance case. also give expressions coefficients near in order to evaluate quality rotating wave approximation due ...

Drs White and Cummings state that we negatively reported findings of our ‘positive study’—namely, our trial evaluating acupuncture for chronic knee osteoarthritis (OA). Our study was not a ‘positive study’ as they suggest. Rather, our study showed no benefit of needle or laser acupuncture compared with sham laser acupuncture on either of our two primary outcomes (pain and function), and small c...

The Lindblad approach to open quantum systems is introduced for studying the dynamics of a single trapped ion prepared in nonclassical motional states and subjected to continuous measurement of its internal population. This results in an inhibition of the dynamics similar to the one occurring in the quantum Zeno effect. In particular, modifications to the Jaynes-Cummings collapses and revivals ...

In this paper the perturbation theory with the frequency of transition in atom as perturbation parameter is constructed. The estimation of the reminder term of series of this perturbation theory is given. With the help of this perturbation theory we have found an exact asymptotics of eigenvalues of complete hamiltonian in the limit of high quantum numbers. It is shown that the counter-rotating ...

Entanglement is a defining feature of quantum mechanics that makes fundamental distinctions between quantum and classical physics. As an unambiguous and quantifiable property of sufficiently simple multi-party quantum systems, entanglement has a definite time evolution that has recently begun to be studied in several contexts [1, 2, 3, 4, 5, 6, 7, 8]. Entanglement in a quantum system may deteri...