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Open Quantum Systems Decoherence

Coulomb analogy for nonhermitian degeneracies near quantum phase transitions

arXiv

Authors: P. Cejnar, S. Heinze, M. Macek

Year

2007

Paper ID

49653

Status

Preprint

Abstract Read

~2 min

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Abstract

Degeneracies near the real axis in a complex-extended parameter space of a hermitian Hamiltonian are studied. We present a method to measure distributions of such degeneracies on the Riemann sheet of a selected level and apply it in classification of quantum phase transitions. The degeneracies are shown to behave similarly as complex zeros of a partition function.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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Degeneracies near the real axis in a complex-extended parameter space of a hermitian Hamiltonian are studied.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.2473 [2] arXiv https://arxiv.org/abs/0707.2473 [3] Publisher https://arxiv.org/abs/0707.2473

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