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An Ergodic Theorem for Quantum Counting Processes

Quantum Physics 2007-05-23 v1

Abstract

For a quantum-mechanical counting process we show ergodicity, under the condition that the underlying open quantum system approaches equilibrium in the time mean. This implies equality of time average and ensemble average for correlation functions of the detection current to all orders and with probability 1.

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Cite

@article{arxiv.quant-ph/0102134,
  title  = {An Ergodic Theorem for Quantum Counting Processes},
  author = {Burkhard Kuemmerer and Hans Maassen},
  journal= {arXiv preprint arXiv:quant-ph/0102134},
  year   = {2007}
}

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4 pages