Correlation effects in a discrete quantum random walk

Details Correlation effects in a discrete quantum random walk Correlation effects in a discrete quantum random walk

2008-09-05

arxiv.org/abs/0809.0940v1

J. Phys. A: Math. Theor. 42, 175304 (2009)

Physics

Quantum Physics

6 pages, 7 figures

Scientific paper

10.1088/1751-8113/42/17/175304

We introduce history-dependent discrete-time quantum random walk models by adding uncorrelated memory terms and also by modifying Hamiltonian of the walker to include couplings with memory-keeping agents. We next numerically study the correlation effects in these models. We also propose a correlation exponent as a relevant and promising tool for investigation of correlation or memory (hence non-Markovian) effects. Our analysis can easily be applied to more realistic models in which different regimes may emerge because of competition between different underlying physical mechanisms.

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