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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

Donnerstag, 19. März 2020, 15:00–18:00, P1A

Stationary current in the open Bose-Hubbard chain — Anna Bychek¹, Pavel Muraev², Dmitrii Maksimov^1,3, and •Andrey Kolovsky^1,2 — 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.