飯田 圭 （高知大学）
Contents
・ Impurity problems in dense matter
・ Nuclei in neutron matter
・ Light elements in hot dense matter
・ Polaron problems in trapped cold atoms
・ Conclusion
不純物で探る量子物質の性質Probing quantum matter with impurities
クラスター階層キックオフシンポジウム、 東工大、 Nov. 2018
Pairing correlations and polarons in strong-force interacting many-body systems
By Fukushima
pp/ph
ph
pp
Cooper pairingOverhauser pairing
Fermi sphere - -+ +
2p/q
Q
Main slide in the first workshop
(March, 2017) in Osaka
Pairing correlations and polarons in strong-force interacting many-body systems
By Fukushima
pp/ph
ph
pp
Q
Impurities (“clusters”) play a role
in probing the medium properties
heavy
nuclei
d, a,3He
Neutron stars made of pp and/or ph condensates,
whose properties could be probed by impurities
From R. Hulet
Typical examples of pp correlations: Neutron matter and trapped cold atoms
Low density neutron matter Cold Fermi atoms near Feshbach resonance
From M. Horikoshi
.
From Lamb (1991).
Nuclear matter in neutron stars
Liquid-gas mixture Liquid
Schematic cross-section of a neutron star
）（cold K 10~ 9T
bcc BaTiO3-type
From Kobyakov and Pethick (2013, 2016).
crust
?
Internuclear interaction
via SF-phonon exchange,
e.g.,
Long-range Casimir-
Polder form (~1/r7)
Hot dense matter
Core-collapse supernovae
From K. Sumiyoshi
Hot dense matter (contd.)
Neutron star – neutron star mergers
From Coleman Miller
(Nature 551, 36 (2017))
Light elements in hot dense matter
Schematic phase diagram
in dense stellar matterMass fractions of light elements
From S. Lalit et al., arXiv:1809.08126
Light elements in I contribute
significantly to entropy!
Mass fractions Xi obtained from
excluded volume effects (see also
Togashi EOS) are reliable?
Light elements in hot dense matter (contd.) From S. Lalit et al., arXiv:1809.08126
Entropy per baryon
陽子(p)
α粒子
中性子(n)
From M.-G. Hu et al., PRL 117 (2016) 055301.
Polaron problems in trapped cold atoms
Fermi atom-Bogoliubov phonon electron-phonon
From M.-G. Hu et al., PRL 117 (2016) 055301.
Polaron problems in trapped cold atoms (contd.)
Fermi 40K impurity in a Bose 87Rb gas
Another version: impurity
atoms in a trapped Fermi gas
imbalanced mixtures of 6Li atoms
in the lowest two Zeeman states
From F. Scazza et al., PRL 118 (2017) 083602.
From K. Nishimura
Polaron problems in exotic hadrons and trapped cold atoms
Lambda(1405)
Impurity Fermi atom in Bose condensates
From E. Nakano
From A. Dote
Conclusion
Mass shift of a “cluster” &
“cluster”-”cluster” interactions
induced in medium
Good probe of the medium
properties, e.g., Fermi
degeneracy, superfluidity
By Fukushima
heavy
nuclei
d, a,3He
Q
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