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Vestnik of Samara University Natural Science Series

QUANTUM DYNAMICS OF THE CUBIT SYSTEM IN EXTERNAL FIELDS

Alexander V. Gorokhov, G. I. Eremenko

Published Aug 17, 2021• 0 citations
Publisher

Abstract

A system of two dipole-dipole interacting two-level elements (qubits) in external fields is considered. It is shown that using the coherent states (CS) of the dynamic symmetry group of the SU(2)SU(2) system, the time evolution can be reduced to the "classical" dynamics of the complex parameters of the CS. The trajectories of the CS are constructed and the time dependences of the probability of finding qubits at the upper levels are calculated.

DOI
10.18287/2541-7525-2020-26-4-68-75

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A system of two dipole-dipole interacting two-level elements (qubits) in external fields is considered. It is shown that using the coherent states (CS) of the dynamic symmetry group of the SU(2)SU(2) system, the time evolution can be reduced to the "classical" dynamics of the complex parameters of the CS. The trajectories of the CS are constructed and the time dependences of the probability of finding qubits at the upper levels are calculated.
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A problem of the coherent control of a quantum system in an external electromagnetic field is considered. We use the technique of dynamical symmetry Lie groups and relevant coherent states. The general approach is illustrated by examples of qubit and qudit dynamics in an external classical field, and transitions between the Rydberg states of a hydrogen-like atom with the fixed principal quantum number. The problem of generalization of the approach for taking into account additional interaction with a large dissipative environment is discussed.