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Portrait of Stephanie Reimann

Stephanie Reimann

Professor

Portrait of Stephanie Reimann

Complexity of quantum states in the two-dimensional pairing model

Author

  • J. R. Armstrong
  • Sven Åberg
  • Stephanie Reimann
  • V. G. Zelevinsky

Summary, in English

It is known that many-fermion systems, such as complex atoms and nuclei, reveal (at some level of excitation energy) local signatures of quantum chaos similar to the predictions of random matrix theory. Here, we study the gradual development of such signatures in a model system of up to 16 fermions interacting through short-range pairing-type forces in a two-dimensional harmonic trap. We proceed from the simplest characteristics of the level spacing distribution to the complexity of eigenstates, strength, and correlation functions. For increasing pairing strength, at first, chaotic signatures gradually appear. However, when the pairing force dominates the Hamiltonian, we see a regression towards regularity. We introduce a "phase correlator" that allows us to distinguish the complexity of a quantum state that originates from its collective nature, from the complexity originating from quantum chaos. DOI: 10.1103/PhysRevE.86.066204

Department/s

  • Mathematical Physics

Publishing year

2012

Language

English

Publication/Series

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Volume

86

Issue

6

Document type

Journal article

Publisher

American Physical Society

Topic

  • Physical Sciences

Status

Published

ISBN/ISSN/Other

  • ISSN: 1539-3755