Complexity of quantum states in the two-dimensional pairing model
(2012) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3372368
- author
- Armstrong, J. R. ; Åberg, Sven LU ; Reimann, Stephanie LU and Zelevinsky, V. G.
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
- volume
- 86
- issue
- 6
- article number
- 066204
- publisher
- American Physical Society
- external identifiers
-
- wos:000311929000004
- scopus:84871427763
- pmid:23368021
- ISSN
- 1539-3755
- DOI
- 10.1103/PhysRevE.86.066204
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- d145006c-bb8b-459e-a5f3-0a46393ec2f3 (old id 3372368)
- date added to LUP
- 2016-04-01 09:55:01
- date last changed
- 2022-01-25 17:58:25
@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}},
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)}},
title = {{Complexity of quantum states in the two-dimensional pairing model}},
url = {{http://dx.doi.org/10.1103/PhysRevE.86.066204}},
doi = {{10.1103/PhysRevE.86.066204}},
volume = {{86}},
year = {{2012}},
}