Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 56: Poster: Glasses; Granular Matter; Brownian Motion and Anomalous Diffusion
DY 56.1: Poster
Thursday, March 19, 2020, 15:00–18:00, P1A
Stationary current in the open Bose-Hubbard chain — Anna Bychek1, Pavel Muraev2, Dmitrii Maksimov1,3, and •Andrey Kolovsky1,2 — 1Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia — 2Siberian Federal University, 660041 Krasnoyarsk, Russia — 3Siberian State Aerospace University, 660014 Krasnoyarsk, Russia
We analyze 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 the particle source and sink, respectively. The analysis is curried 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 inter-particle 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 inverse proportional to L.