Microscopic models of source and sink for atomtronics

Abstract

We analyze the microscopic models of the particle source/sink which consists of one-or twosite Bose-Hubbard model (the system) weakly coupled to many-site Bose-Hubbard model (the reservoir). Assuming not equal filling factors for the system and reservoir, we numerically study equilibration dynamics and compare it with solution of the master equation on the reduced density matrix of the system. Necessary conditions for validity of the master equation approach are formulated.

Landauer-Büttiker equation for bosonic carriers

“…Relaxation towards this steady state occurs on a time scale of the order of the asymptotic relaxation time, defined as τ r = inf ({|λ |}) −1 , where {λ } denotes the set of eigenvalues of the matrix A of Eq. (8). We find that the relaxation time τ r increases with the chain length L. This rises the question of its asymptotic scaling.…”

“…In what follows we illustrate the derivation of the bosonic LB equation by considering a simple microscopic model that is a modification of the model introduced in Ref. [8]. It consists of two reservoirs of Bose particles connected by the transport channel, see Fig.…”

Asymmetric many-body loss in a bosonic double well

“…Future work may apply the reported possibilities of dynamically controlling the out-coupled populations to design setups based on ultracold bosons for quantum synchronisation studies [27] or for atomtronic transport induced by a local leak [20,[28][29][30].…”

Quantum entanglement and the Born-Markov approximation for an open quantum system

“…emphasis shifted to open many-body systems [1][2][3][4][5][6][7][8]. The standard approach to dynamics of an open system is the master equation for the reduced density matrix,…”

“…Inset: Distribution function for the transition matrix elements. To reduce statistical fluctuations here we consider a larger bath (N, L) =(7,8) where the dimension of the bath Hilbert space is N B = 3432.…”