Efimov effect from functional renormalization

被引：37

作者：

Moroz, S. ^{[1
]}

Floerchinger, S. ^{[1
]}

Schmidt, R. ^{[1
]}

Wetterich, C. ^{[1
]}

机构：

[1] Heidelberg Univ, Inst Theoret Phys, Philosophenweg 16, D-69120 Heidelberg, Germany

来源：

PHYSICAL REVIEW A | 2009年 / 79卷 / 04期

关键词：

boson systems; fermion systems; lithium; renormalisation; resonant states; SU(2) theory; ENERGY-LEVELS; INVARIANCE; SCATTERING; FORCES; SYSTEM;

D O I：

10.1103/PhysRevA.79.042705

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We apply a field-theoretic functional renormalization-group technique to the few-body (vacuum) physics of nonrelativistic atoms near a Feshbach resonance. Three systems are considered: one-component bosons with a U(1) symmetry, two-component fermions with a U(1)xSU(2) symmetry, and three-component fermions with a U(1)xSU(3) symmetry. We focus on the scale-invariant unitarity limit of an infinite scattering length. The exact solution for the two-body sector is consistent with the unitary fixed-point behavior of the considered systems. Nevertheless, the numerical three-body solution in the s-wave sector develops a limit cycle scaling in case of U(1) bosons and SU(3) fermions. The Efimov parameter for the one-component bosons and the three-component fermions is found to be s approximate to 1.006, consistent with the result of Efimov.

引用

页数：16

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