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Testing the ergodic assumption in the low-intensity interference experiments

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Il Nuovo Cimento B (1971-1996)

Summary

It is well known that one must make an ergodic-type assumption in order to interpret the laboratory time averages in the low-intensity interference experiments as agreeing with the quantummechanical ensemble averages. In this work we analyse the possibility of statistically testing this ergodic assumption. For the case of an ideal laser (i.e. a deterministic intensity), we calculate the number of photoncounting measurements in an experimental run and the number of experimental runs necessary to statistically compare the various time and ensemble averages.

Riassunto

È ben noto che si deve prendere un assunto di tipo ergodico per interpretare le medie temporali di laboratorio negli esperimenti d’interferenza a bassa intensità come secondo le medie d’insieme quantomeccaniche. In questo lavoro si analizza la possibilità di controllare statisticamente questo assunto ergodico. Per il caso di un laser ideale (cioè un’intensità deterministica), si calcola il numero di misurazioni per il conteggio dei fotoni in un esperimento ed il numero di esperimenti necessari per confrontare le varie medie di tempo e d’insieme.

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Authors and Affiliations

  1. Institute de Matematica, Universidade Estadual de Campinas Campinas, São Paulo, Brasil

    V. Buonomano

  2. Statistics Department, Colombia University, New York, NY

    F. Bartmann

Authors
  1. V. Buonomano
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  2. F. Bartmann
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Buonomano, V., Bartmann, F. Testing the ergodic assumption in the low-intensity interference experiments. Nuov Cim B 95, 99–108 (1986). https://doi.org/10.1007/BF02749005

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