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Heiss WD, Müller M. Universal relationship between a quantum phase transition and instability points of classical systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;66(1):016217doi: 10.1103/PhysRevE.66.016217.
Heiss, W. D., & Müller, M. (2002). Universal relationship between a quantum phase transition and instability points of classical systems. Physical review. E, Statistical, nonlinear, and soft matter physics, 66(1), 016217. https://doi.org/10.1103/PhysRevE.66.016217
Heiss, W D, and Müller, M. "Universal relationship between a quantum phase transition and instability points of classical systems." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 66,1 (2002): 016217. doi: https://doi.org/10.1103/PhysRevE.66.016217
Heiss WD, Müller M. Universal relationship between a quantum phase transition and instability points of classical systems. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jul;66(1):016217. doi: 10.1103/PhysRevE.66.016217. Epub 2002 Jul 26. PMID: 12241471.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jul;66(1):016217. doi: 10.1103/PhysRevE.66.016217. Epub 2002 Jul 26.

Universal relationship between a quantum phase transition and instability points of classical systems.

Physical review. E, Statistical, nonlinear, and soft matter physics

W D Heiss, M Müller

Affiliations

  1. Centre of Theoretical Physics and School of Physics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa.

PMID: 12241471 DOI: 10.1103/PhysRevE.66.016217

Abstract

The direct and universal relationship between the accumulation of exceptional points in the quantum spectrum at a phase transition and the singularity of the classical action at a homoclinic point of the separatrix is investigated. The particular common features are the analytic structure and, related to it, instability and high sensitivity leading generically to the onset of chaos in both cases under perturbation.

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