Abstract
We study the generation of entangled states using a device constructed from dipolar bosons confined to a triple-well potential. Dipolar bosons possess controllable, long-range interactions. This property permits specific choices to be made for the coupling parameters, such that the system is integrable. Integrability assists in the analysis of the system via an effective Hamiltonian constructed through a conserved operator. Through computations of fidelity we establish that this approach, to study the time-evolution of the entanglement for a class of non-entangled initial states, yields accurate approximations given by analytic formulae.
Highlights
Entanglement is a fundamental quantum resource, one which underpins many proposals for the implementation of quantum technology
For ultracold quantum gases confined to triple-well potentials, many opportunities exist for the exploration of intriguing phenomena such as transistor-like behaviours [8,9,10], coherent population transfer [11, 12], fragmentation [13, 14], and quantum chaos [15]
We introduce an effective Hamiltonian, which leads to analytic expressions for the frequency and amplitude of coherent oscillations between the outer wells
Summary
Entanglement is a fundamental quantum resource, one which underpins many proposals for the implementation of quantum technology. Ultracold quantum gases have been viewed, for some time, as one of the most promising avenues for the physical production and manipulation of entangled states [1]. We identified within the integrable model a resonant tunneling regime, characterised by near-perfect harmonic oscillations with amplitude and frequency given by simple formulae. Through an appropriate breaking of the integrability, it was demonstrated how the amplitude and frequency could be varied in a predictable manner This provided a design for a switching device, a fundamental component for the assembly of atomtronic circuitry (e.g. see [23]). Our main objective in the present work is to expand on the analysis conducted in [21] 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.
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