Control of tunneling in an atomtronic switching device

Abstract

The precise control of quantum systems will play a major role in the realization of atomtronic devices. As in the case of electronic systems, a desirable property is the ability to implement switching. Here we show how to implement switching in a model of dipolar bosons confined to three coupled wells. The model describes interactions between bosons, tunneling of bosons between adjacent wells, and the effect of an external field. We conduct a study of the quantum dynamics of the system to probe the conditions under which switching behavior can occur. The analysis considers both integrable and non-integrable regimes within the model. Through variation of the external field, we demonstrate how the system can be controlled between various "switched-on" and "switched-off" configurations. 3 a 1 ) is non-zero when the parameters ε, J 1 and J 3 are all non-zero. J 1 3 J U y 2/10 10/10

Entangled states of dipolar bosons generated in a triple-well potential

“…However, it does impact on the amplitude. For k = l = 0 we recover the results discussed in [18] and maximum amplitude oscillations are attained. It is easily seen from (8,9) that equality of the expectation values N 1 and N 3 occurs when t = (2n + 1)T /4, n ∈ N, where T = 2π/ω l is the period of oscillation.…”

“…These results open a pathway towards new investigations, in two complementary directions. One of these is to understand the mechanisms for controlling the entanglement generation through the breaking of integrability, specifically through the inclusion of external fields as in [18]. The other avenue is to then examine the effects of external driving of the dynamics, which is feasible for this system using Floquet theory, e.g.…”

“…Our main objective in the present work is to expand on the analysis conducted in [18] in two complementary directions. The first of these is to investigate and understand the behaviour of the device with respect to a variety of initial conditions.…”

“…The first of these is to investigate and understand the behaviour of the device with respect to a variety of initial conditions. In [18], the dynamical evolution was only considered for an initial state with all particles in one well. Here, we extend the investigations to the case of initial states with bosons distributed over the wells.…”

Relaxation, chaos, and thermalization in a three-mode model of a Bose–Einstein condensate

“…We expect that similar results can be found in other three-mode many-body models, as e.g. three bosonic species with coherent couplings in a trap or ultracold atoms in three-wells as in [79]. The role of the interaction energies that lead to the transfers between modes in our system would be played by the coherent coupling between species in the first model and by the tunneling energies between wells in the second one.…”