The probability of quantum transitions of a molecule between its states under the action of an electromagnetic field is represented as an integral over trajectories of a real alternating functional. A method is proposed for computing the integral using recurrence relations. The method is used to describe the ionization of hydrogen atom.
The probability of quantum transitions of a molecule between its states under the action of an electromagnetic field is represented as an integral over trajectories from a real alternating functional. A method is proposed for computing the integral using recurrence relations. The method is attached to describe the two-photon Rabi oscillations.
In this paper we study the quantum entanglement of two identical qubits which interact with electromagnetic field and each other by time-dependent dipole-dipole interaction. We develop original method in path integral approach for numerical calculation of density matrix and Peres-Horodecki parameter (the measure of qubits entanglement). By the use of obtained equations we investigate the dependence of quantum entanglement on dipole-dipole interaction amplitude and frequency as well as qubits phase difference. The results indicate on possibility of high-entanglement states exiting and long-time non-destructive control of them.
We study the evolution of quantum entanglement in the model of two identical qubits interacting with a singlemode laser field. The density matrix and Peres-Horodecki parameter are calculated within the frameworks of path-integral formalism. The quantum entanglement measure is shown to be strongly dependent upon the phase difference between the laser radiation acting on each cubit. This observation may offer the possibility of quantum entanglement stationary control by varying the distance between the qubits.
We study the problem of rotational excitation of molecules by an ultrashort laser pulse sequence. Recent experimental investigations [Phys. Rev. Lett. 109, 043003 (2012)] shows that there are quantum resonances in rotational dynamics of dinitrogens molecules for some values of pulse train period. We describe these results theoretically. Physical parameters of ultrashort laser pulse sequence for effective selective rotational excitation of dinitrogens isotopes were defined by numerical simulations.
The object of the research are the quantum transitions of a many-level system between its stationary states under
the influence of an alternating external electric field. The transition amplitudes and probabilities are calculated
by the method of perturbation theory in the approximation of a classical external field. It is illustrated that in the
case when the external field frequency is equal to the frequency of any quantum transition, then the probability
of this transition fluctuate nearly the average value which is oscillating with Rabi frequency. Probabilities of
other quantum transitions are very small and change chaotically with time.
The transitions between stationary states in multilevel quantum system under the influence of an alternating
external electric field are considered in this work. Herewith the strength of external electric field changes with
time by the harmonic law. The analytical expressions for quantum transitions probabilities of a system are given
at the third order of perturbation theory. The dependencies of quantum transitions probabilities and average
energy of a system upon interaction time and frequency of field are investigated in the case when the system is
a charged particle in rectangular infinitely deep potential pit.
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