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• W3101479211 abstract "The not necessarily unitary evolution operator of a finite dimensional quantum system is studied with the help of a projection operators technique. Applying this approach to the Schrodinger equation allows the derivation of an alternative expression for the evolution operator, which differs from the traditional chronological exponent. An appropriate choice of projection operators results in the possibility of studying the diagonal and non-diagonal elements of the evolution operator separately. The suggested expression implies a particular form of perturbation expansion, which leads to a new formula for the short time dynamics. The new kind of perturbation expansion can be used to improve the accuracy of the usual chronological exponent significantly. The evolution operator for any arbitrary time can be efficiently recovered using the semigroup properties. The method is illustrated by two examples, namely the dynamics of a three-level system in two nonresonant laser fields and the calculation of the partition function of a finite XY-spin chain." @default.
• W3101479211 created "2020-11-23" @default.
• W3101479211 creator A5080501339 @default.
• W3101479211 creator A5081919424 @default.
• W3101479211 date "2016-09-23" @default.
• W3101479211 modified "2023-09-26" @default.
• W3101479211 title "Projection operator based expansion of the evolution operator" @default.
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• W3101479211 doi "https://doi.org/10.1088/1751-8113/49/42/425301" @default.
• W3101479211 hasPublicationYear "2016" @default.
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