Open Bose-Hubbard chain: Pseudoclassical approach

被引：14
|
作者：
Bychek, A. A. [1 ]
Muraev, P. S. [2 ]
Maksimov, D. N. [1 ,2 ]
Kolovsky, A. R. [1 ,2 ]
机构：
[1] Kirensky Inst Phys, Krasnoyarsk 660036, Russia
[2] Siberian Fed Univ, Sch Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia
来源：
PHYSICAL REVIEW E | 2020年 / 101卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Association reactions - Hubbard model;
D O I：
10.1103/PhysRevE.101.012208
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We analyze the stationary current of bosonic carriers in the Bose-Hubbard chain of length L where the first and the last sites of the chain are attached to reservoirs of Bose particles acting as a particle source and sink, respectively. The analysis is carried out by using the pseudoclassical approach which reduces the original quantum problem to the classical problem for L coupled nonlinear oscillators. It is shown that an increase of oscillator nonlinearity (which is determined by the strength of interparticle interactions) results in a transition from the ballistic transport regime, where the stationary current is independent of the chain length, to the diffusive regime, where the current is inversely proportional to L.
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页数：7
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