Coulomb analogy for nonhermitian degeneracies near quantum phase transitions

Details Coulomb analogy for nonhermitian degeneracies near quantum phase transitions Coulomb analogy for nonhermitian degeneracies near quantum phase transitions

2007-07-17

arxiv.org/abs/0707.2473v1

Phys.Rev.Lett.99:100601,2007

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.99.100601

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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