閉じ込められた2成分fermi原子気体の渦励起...

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2Fermi

( )

( )

9 - 11, August, 2004

1/12

10-2 aH.O.

10-3 aH.O.

12 m 2 r2

( kHz nK )

aH.O.

nK

de Broglie aH.O.

(1) ()(2) (3)

=

2/12

(1)

potential :

VH.O. = 12m2trap~r

2

: H = ~p2

2m + VH.O. Lz energy

E = ~(trap + )(n+ + 12) + ~(trap )(n + 12) + ~trap(nz + 12)

potential

{ : < trap

3/12

(2)

'

&

$

%

He

4/12

Bose-Einstein

ENS (87Rb) MIT (23Na)

Bose-Einstein

5/12

Bose-Fermi

(1) Bose-Fermi(2) BoseFermi

: Bose-Einstein : Fermi (TN and H. Yabu)

6/12

2Fermi :

(1)

(2) 1(6Li, 40K)

JILA(40K), PRL90, 230404(2003)

A. 2Fermi

B. BEC

C. BCS

D. BEC-BCS crossover

7/12

2Fermi : '

&

$

%

2Fermi

A. 2Fermi

Fermi

B. BEC

Bose-Einstein

C. BCS

gap

gaptopological

8/12

A. 2Fermi

Thomas-Fermi()

N1 N2, g > 0

0 5 10 15 20 250.000

0.002

0.004

0.006

r / aH.O.

F1

z / N

F1

0 5 10 15 20 250.000

0.001

0.002

0.003

r / aH.O. F

2 z

/ NF

2

: = 0, : = 0.9trap, NF1 = 1.E5, NF2 = 1.E4, gFF = 10

9/12

B. BEC

: F1 + F2 F1F2

1 + 2 = 12 + E + VMF , E < 0

VMF = 0

g3b 0.9g , g4b 0.3gVMF < 0

Petrov .et .al PRA67,010703(2003)cond-mat/0309010(2003)

= Bose-Einstein

10/12

C. BCS : (1)

gap()

gap : = ei || HFB

'

&

$

%

: Ek =

2 + ||2Lz + 12( ~2

2m2

r2 ~)

= HF+12( ~2

2m2

r2 ~)

a)

a) 2004930 :

11/12

Summary

2Fermi

A. 2Fermi

Fermi

B. BEC

Bose-Einstein

C. BCS

gap

gaptopological