2013/04/30 by Anton Ivanov, A.P. Ivanov, G. Kordas +3 · 40 citations
Mathematics · Physics and Astronomy · #Chain (unit) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Flow (mathematics) #Limit (mathematics) #Markov chain #Markov process #Mathematical analysis #Mathematics #Mechanics #Particle (ecology) #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum many-body systems #Quantum mechanics #Semiclassical physics #Statistical physics #Stochastic differential equation #Transient (computer programming) #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjb/e2013-40417-4
published in The European Physical Journal B 86(8) (Springer Science+Business Media) · 7 pages, 4 figures
arxiv created 2013/07/18 · openalex publication_date 2013/08/01 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The particle transport through a chain of quantum dots coupled to two bosonic reservoirs is studied. For the case of reservoirs of non-interacting bosonic particles, we derive an exact set of stochastic differential equations, whose memory kernels and driving noise are characterised entirely by the properties of the reservoirs. Going to the Markovian limit an analytically solvable case is presented. The effect of interparticle interactions on the transient behaviour of the system, when both reservoirs are instantaneously coupled to an empty chain of quantum dots, is approximated by a semiclassical method, known as the Truncated Wigner approximation. The steady-state particle flow through the chain and the mean particle occupations are explained via the spectral properties of the interacting system.