Abstract
We study the dynamics of a one-dimensional system composed of a bosonic background and one impurity in single- and double-well trapping geometries. In the limit of strong interactions, this system can be modeled by a spin chain where the exchange coefficients are determined by the geometry of the trap. We observe non-trivial dynamics when the repulsion between the impurity and the background is dominant. In this regime, the system exhibits oscillations that resemble the dynamics of a Josephson junction. Furthermore, the double-well geometry allows for an enhancement in the tunneling as compared to the single-well case.
Highlights
The experimental investigation of ultracold atomic systems has made possible the realization of several celebrated models in quantum mechanics and condensed matter
We have studied the static and dynamic properties of an impurity in the presence of a background of bosons in single-well and double-well geometries
The ground state spin densities are described by a combination of the spatial distributions in the limit of infinite repulsion and the eigenstates of a spin chain
Summary
Original content from this work may be used under the terms of the Creative Abstract. We study the dynamics of a one-dimensional system composed of a bosonic background and one. Any further distribution of impurity in single- and double-well trapping geometries. In the limit of strong interactions, this this work must maintain attribution to the system can be modeled by a spin chain where the exchange coefficients are determined by the author(s) and the title of geometry of the trap. We observe non-trivial dynamics when the repulsion between the impurity and the work, journal citation and DOI. In this regime, the system exhibits oscillations that resemble the dynamics of a Josephson junction. The double-well geometry allows for an enhancement in the tunneling as compared to the single-well case
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