Weak Values Influenced by Environment


A weak value of an observable is studied for a quantum system which is placed under the influence of an environment, where a quantum system irreversibly evolves from a pre-selected state to a post-selected state. A general expression for a weak value influenced by an environment is provided. For a Markovian environment, the weak value is calculated in terms of the predictive and retrodictive density matrices, or by means of the quantum regression theorem. For a non-Markovian environment, a weak value is examined by making use of exactly solvable models. It is found that although the anomalous property is significantly suppressed by a Markovian environment, it can survive a non-Markovian environment.

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M. Ban, "Weak Values Influenced by Environment," Journal of Modern Physics, Vol. 4 No. 11A, 2013, pp. 1-8. doi: 10.4236/jmp.2013.411A1001.

Conflicts of Interest

The authors declare no conflicts of interest.


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