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Complexity of quantum states in the two-dimensional pairing model

Armstrong, J. R.; Åberg, Sven LU ; Reimann, Stephanie LU and Zelevinsky, V. G. (2012) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00 86(6).
Abstract
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... (More)
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 (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00
volume
86
issue
6
publisher
American Physical Society
external identifiers
  • wos:000311929000004
  • scopus:84871427763
ISSN
1539-3755
DOI
10.1103/PhysRevE.86.066204
language
English
LU publication?
yes
id
d145006c-bb8b-459e-a5f3-0a46393ec2f3 (old id 3372368)
date added to LUP
2013-02-01 12:34:24
date last changed
2017-08-13 03:03:39
@article{d145006c-bb8b-459e-a5f3-0a46393ec2f3,
  abstract     = {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},
  articleno    = {066204},
  author       = {Armstrong, J. R. and Åberg, Sven and Reimann, Stephanie and Zelevinsky, V. G.},
  issn         = {1539-3755},
  language     = {eng},
  number       = {6},
  publisher    = {American Physical Society},
  series       = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00},
  title        = {Complexity of quantum states in the two-dimensional pairing model},
  url          = {http://dx.doi.org/10.1103/PhysRevE.86.066204},
  volume       = {86},
  year         = {2012},
}