Decay of Bogoliubov quasiparticles in a nonideal one-dimensional Bose gas

被引：16

作者：

Ristivojevic, Zoran ^{[1
]}

Matveev, K. A. ^{[2
]}

机构：

[1] Ecole Polytech, CNRS, Ctr Phys Theor, F-91128 Palaiseau, France

[2] Argonne Natl Lab, Div Mat Sci, Argonne, IL 60439 USA

来源：

PHYSICAL REVIEW B | 2014年 / 89卷 / 18期

关键词：

TONKS-GIRARDEAU GAS; MANY-BODY SYSTEM; LUTTINGER LIQUID; QUANTUM LIQUIDS; ULTRACOLD GASES;

D O I：

10.1103/PhysRevB.89.180507

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the relaxation of excitations in a system of one-dimensional weakly interacting bosons. Due to residual weak interactions, Bogoliubov quasiparticles in this system have finite lifetimes. As a result of the conservation laws in one dimension, at zero temperature the leading mechanism of decay of a quasiparticle is disintegration into three others. We focus on phonon quasiparticles and find that their decay rate is proportional to the seventh power of momentum. In the integrable case of contact interaction between the bosons, the decay rate vanishes.

引用

页数：4

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