Phase-Dependent Chiral Transport and Effective Non-Hermitian Dynamics in a Bosonic Kitaev-Majorana Chain

By A. McDonald, T. Pereg-Barnea, A. Clerk. Physical Review X, 2018

186 citations recorded by the source corpus.

We study a 1D chain of non-interacting bosonic cavities which are subject to nearest-neighbour parametric driving. With a suitable choice of drive phases, this model is strongly analogous to the celebrated Kitaev chain model of a 1D p-wave superconductor. The system exhibits phase-dependent chirality: photons propagate and are amplified in a direction that is determined by the phase of the initial drive or excitation. Further, we find a drastic sensitivity to boundary conditions: for a range of parameters, the boundary-less system has only delocalized, dynamically unstable modes, while a finite open chain is described by localized, dynamically stable modes. While our model is described by a Hermitian Hamiltonian, we show that it has a surprising connection to non-Hermitian asymmetric-hopping models.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/2161d483d50e20179c7094803aa08dd4fa3b59fd

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

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A review on non-Hermitian skin effect (2022, methodology): “4 [31-35], interpreting NHSE from different points of view [36-48], developing new theories, methods and material designs to describe the NHSE-related topological properties and the”