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dc.contributor.author
Schilling, Christian
dc.date.accessioned
2020-07-10T13:14:31Z
dc.date.available
2017-06-10T23:22:45Z
dc.date.available
2020-07-10T13:14:31Z
dc.date.issued
2013-10
dc.identifier.issn
1094-1622
dc.identifier.issn
0556-2791
dc.identifier.issn
1050-2947
dc.identifier.other
10.1103/PhysRevA.88.042105
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/73924
dc.description.abstract
For a quantum system of N identical, harmonically interacting particles in a one-dimensional harmonic trap we calculate for the bosonic and fermionic ground state the corresponding one-particle reduced density operator ρî1 analytically. In case of bosons ρ î1 is a Gibbs state for an effective harmonic oscillator. Hence the natural orbitals are Hermite functions and their occupation numbers obey a Boltzmann distribution. Intriguingly, for fermions with not too large couplings the natural orbitals coincide up to just a small error with the bosonic ones. In case of strong coupling this still holds qualitatively. Moreover, the decay of the decreasingly ordered fermionic natural occupation numbers is given by the bosonic one, but modified by an algebraic prefactor. Significant differences to bosons occur only for the largest occupation numbers. After all, the "gap" at the "Fermi level" decreases with increasing coupling strength but remains well pronounced even for strong interaction. © 2013 American Physical Society.
en_US
dc.language.iso
en
en_US
dc.publisher
American Physical Society
en_US
dc.title
Natural orbitals and occupation numbers for harmonium: Fermions versus bosons
en_US
dc.type
Journal Article
dc.date.published
2013-10-09
ethz.journal.title
Physical Review A
ethz.journal.volume
88
en_US
ethz.journal.issue
4
en_US
ethz.journal.abbreviated
Phys. rev., A
ethz.pages.start
042105
en_US
ethz.size
11 p.
en_US
ethz.identifier.wos
ethz.publication.place
New York, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
03879 - Christandl, Matthias (SNF-Professur)
en_US
ethz.leitzahl.certified
03879 - Christandl, Matthias (SNF-Professur)
ethz.date.deposited
2017-06-10T23:23:55Z
ethz.source
ECIT
ethz.identifier.importid
imp59365125ddf2c32864
ethz.ecitpid
pub:117015
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-19T11:34:33Z
ethz.rosetta.lastUpdated
2020-07-10T13:14:41Z
ethz.rosetta.versionExported
true
ethz.COinS
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