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