Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility

Details Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility

2011-07-09

arxiv.org/abs/1107.1759v1

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

We propose an analysis technique for the exceptional points (EPs) occurring in the discrete spectrum of open quantum systems (OQS), using a semi-infinite chain coupled to an endpoint impurity as a prototype. We outline our method to locate the EPs in OQS, further obtaining an eigenvalue expansion in the vicinity of the EPs that gives rise to characteristic exponents. Finally, we offer a heuristic QPT analogy for the emergence of the resonance (giving rise to irreversibility via exponential decay) in which the decay width plays the role of the order parameter; the associated critical exponent is then determined by the above eigenvalue expansion.

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