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A useful measure of quantum state impurity

✍ Scribed by Xue-Pei Jiang; Paul Brumer

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
587 KB
Volume
208
Category
Article
ISSN
0009-2614

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✦ Synopsis

We employ M= [ (Trp)'-Tr$]/(Trp)* as a quantitative measure of state impurity, i.e. the deviation ofa time-dependent quantum state described by density matrix p, from a pure state. Two examples, an optically prepared molecular state and a quantum kicked rotor subjected to Gaussian amplitude noise are considered. In the fmt case M quantifies the relationship between state impurity and properties ofthe molecule and of the light. In the second case increasing Mquantitatively tracks the loss of coherence due to external noise.

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A detailed study of the bound-state properties of an impurity in a compensated semiconductor quantum well is presented using the screened potential of a minority impurity ion in a compensated semiconductor due to Schechter (1981). Accurate eigenenergies for the first 15 states are obtained for this