https://doi.org/10.1140/epjp/s13360-025-07249-1
Regular Article
Coherent two-level dynamics of a single impurity in a self-bound quantum droplet
Physics Department and IRC–Advanced Quantum Computing, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia
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Received:
12
November
2025
Accepted:
20
December
2025
Published online:
19
January
2026
Abstract
We study the coherent dynamics of a single impurity atom embedded in a self-bound, quasi-one-dimensional quantum droplet. The droplet, described by a cubic–quartic nonlinear Schrödinger equation, provides a self-generated potential in which the impurity supports an even–odd doublet of bound states forming an effective two-level system. Using a super-Gaussian variational model, semiclassical WKB analysis, and time-dependent simulations, we derive quantitative relations linking droplet geometry to impurity level splitting and Rabi frequency. The impurity undergoes intrinsic, field-free Rabi oscillations between edge-localized modes, which map directly to Bloch-sphere rotations. These results establish a minimal, self-stabilized platform for coherent matter-wave qubits, where control arises solely from the nonlinear droplet properties.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
