The Unitary three-body problem in a trap - INSPIRE

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The Unitary three-body problem in a trap

2006

5 pages

Published in:

Phys.Rev.Lett. 97 (2006) 150401

e-Print:

cond-mat/0507399 [cond-mat.other]

DOI:

10.1103/PhysRevLett.97.150401

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Abstract: (arXiv)

We consider either 3 spinless bosons or 3 equal mass spin-1/2 fermions, interacting via a short range potential of infinite scattering length and trapped in an isotropic harmonic potential. For a zero-range model, we obtain analytically the exact spectrum and eigenfunctions: for fermions all the states are universal/ for bosons there is a coexistence of decoupled universal and efimovian states. All the universal states, even the bosonic ones, have a tiny 3-body loss rate. For a finite range model, we numerically find for bosons a coupling between zero angular momentum universal and efimovian states/ the coupling is so weak that, for realistic values of the interaction range, these bosonic universal states remain long-lived and observable.

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References(36)

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Observation of a Strongly Interacting Degenerate Fermi Gas of Atoms

- Science 298 (2002) 2179-2182
•
e-Print:
- cond-mat/0212463
•
DOI:
- 10.1126/science.1079107

- Nature 424 47

Measurement of the Interaction Energy near a Feshbach Resonance in a Li-6 Fermi Gas

et al.

- Phys.Rev.Lett. 91 (2003) 020402
•
e-Print:
- cond-mat/0303079
•
DOI:
- 10.1103/PhysRevLett.91.020402

Observation of Resonance Condensation of Fermionic Atom Pairs

C.A. Regal
(
- JILA, Boulder and
- Colorado U.
)
,
M. Greiner
(
- JILA, Boulder and
- Colorado U.
)
,
D.S. Jin
(
- JILA, Boulder and
- Colorado U.
)

- Phys.Rev.Lett. 92 (2004) 040403
•
e-Print:
- cond-mat/0401554
•
DOI:
- 10.1103/PhysRevLett.92.040403

Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance

et al.

- Phys.Rev.Lett. 92 (2004) 120403
•
e-Print:
- cond-mat/0403049
•
DOI:
- 10.1103/PhysRevLett.92.120403

Crossover from a Molecular Bose-Einstein Condensate to a Degenerate Fermi Gas

et al.

- Phys.Rev.Lett. 92 (2004) 120401
•
e-Print:
- cond-mat/0401109
•
DOI:
- 10.1103/PhysRevLett.92.120401

Experimental Study of the BEC-BCS Crossover Region in Lithium 6

et al.

- Phys.Rev.Lett. 93 (2004) 050401
•
e-Print:
- cond-mat/0403091
•
DOI:
- 10.1103/PhysRevLett.93.050401

Molecular Probe of Pairing in the BEC-BCS Crossover

- Phys.Rev.Lett. 95 (2005) 020404
•
e-Print:
- cond-mat/0505353
•
DOI:
- 10.1103/PhysRevLett.95.020404

- Science 305 1128

- Science 307 1296

- Nature 435 1047

Superfluid Fermi Gases with Large Scattering Length

J. Carlson
(
- Los Alamos
)
,
S.-Y. Chang
(
- Illinois U., Urbana
)
,
V.R. Pandharipande
(
- Illinois U., Urbana
)
,
K.E. Schmidt
(
- Illinois U., Urbana
)

- Phys.Rev.Lett. 91 (2003) 050401
•
e-Print:
- physics/0303094
•
DOI:
- 10.1103/PhysRevLett.91.050401

Equation of State of a Fermi Gas in the BEC-BCS Crossover: A Quantum Monte Carlo Study

G.E. Astrakharchik
(
- INFM, Trento and
- Troitsk, Inst. Spectroscopy and
- Trento U.
)
,
J. Boronat
(
- Barcelona, Polytechnic U.
)
,
J. Casulleras
(
- Barcelona, Polytechnic U.
)
,
S. Giorgini
(
- INFM, Trento and
- Trento U.
)

- Phys.Rev.Lett. 93 (2004) 200404
•
e-Print:
- cond-mat/0406113
•
DOI:
- 10.1103/PhysRevLett.93.200404

- Phys.Rev.Lett. 82 2422

Magnetic Field Dependence of Ultracold Inelastic Collisions near a Feshbach Resonance

J.L. Roberts
(
- JILA, Boulder and
- Natural Hazards Research and
- Colorado U.
)
,
N.R. Claussen
(
- JILA, Boulder and
- Natural Hazards Research and
- Colorado U.
)
,
S.L. Cornish
(
- JILA, Boulder and
- Natural Hazards Research and
- Colorado U.
)
,
C.E. Wieman
(
- JILA, Boulder and
- Natural Hazards Research and
- Colorado U.
)

- Phys.Rev.Lett. 85 (2000) 728-731
•
e-Print:
- physics/0003027
•
DOI:
- 10.1103/PhysRevLett.85.728

- Phys.Rev.Lett. 89 283202

- Phys.Rev.Lett. 91 123201

- Nature 440 315

Universality in few-body systems with large scattering length

Eric Braaten
(
- Ohio State U.
)
,
H.-W. Hammer
(
- Washington U., Seattle
)

- Phys.Rept. 428 (2006) 259-390
•
e-Print:
- cond-mat/0410417
•
DOI:
- 10.1016/j.physrep.2006.03.001

The Dilute Bose-Einstein condensate with large scattering length

- Phys.Rev.Lett. 88 (2002) 040401
•
e-Print:
- cond-mat/0108380
•
DOI:
- 10.1103/PhysRevLett.88.040401

WEAKLY-BOUND STATES OF 3 RESONANTLY-INTERACTING PARTICLES

V.N. Efimov

- Sov.J.Nucl.Phys. 12 (1971) 589

- Phys.Rev.Lett. 89 250401

- Phys.Rev. 72 022714

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

- Nature 415 (2002) 39-44
•
DOI:
- 10.1038/415039a

- Phys.Rev.Lett. 94 080403

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