15 October 2024 Tue 4 pm

Quantum-coherent phenomena in nanomechanical systems offer potential for novel functionalities. At the heart of the phenomena lies the nontrivial interpaly between nanomechanical degree of freedom and electronic transport. Manipulating such interplay for single electrons has been recognized as a great achievement [1] whose extension to Cooper pairs is being pursued actively [2]. In particular, flying qubits using Cooper pairs shuttling by nanomechanics [3], and conversely, nanomechanical instability driven by Cooper pair flow have been proposed recently [4]. However, these studies have so far been limited to one dimension. To achieve more complex trajectories of qubit states, it is necessary to study the interplay in two-dimensional nanomechanical system. Here we investigate how Cooper pair flows contribute nanoelectromechanics due to the displacement-dependent electronic coupling between movable and non-movable components in two-dimensional system, and discuss the resulting mechanical trajectories of flying qubits generated by shuttle instability.      

[1] L. Y. Gorelik, A. Isacsson, M. V. Voinova, B. Kasemo, R. I. Shekhter, and M. Jonson,  Phys. Rev. Lett. 80, 4526 (1998).

[2] L. Y. Gorelik, A. Isacsson, Y. M. Galperin, R. I. Shekhter, and M. Jonson, Nature 411, 454 (2001).

[3] S. Park, L.Y. Gorelik, S.I. Kulinich, H.C. Park, C. Kim, and R.I. Shekhter, arXiv 2310.13233(2023).

[4] A.V. Parafilo, L.Y. Gorelik, H.C. Park, and R.I. Shekhter,  J. Low Temp. Phys. 210, 150 (2023).

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