Browsing by Subject "Parity-time symmetry"

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    Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks
    (Springer Nature, 2018-08-13) Harter, Andrew K.; Saxena, Avadh; Joglekar, Yogesh N.; Physics, School of Science
    Quantum walks often provide telling insights about the structure of the system on which they are performed. In PT-symmetric and lossy dimer lattices, the topological properties of the band structure manifest themselves in the quantization of the mean displacement of such a walker. We investigate the fragile aspects of a topological transition in these two dimer models. We find that the transition is sensitive to the initial state of the walker on the Bloch sphere, and the resultant mean displacement has a robust topological component and a quasiclassical component. In PT symmetric dimer lattices, we also show that the transition is smeared by nonlinear effects that become important in the PT-symmetry broken region. By carrying out consistency checks via analytical calculations, tight-binding results, and beam-propagation-method simulations, we show that our predictions are easily testable in today’s experimental systems.
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    Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits
    (Springer Nature, 2018-12-03) León-Montiel, Roberto de J.; Quiroz-Juárez, Mario A.; Domínguez-Juárez, Jorge L.; Quintero-Torres, Rafael; Aragón, José L.; Harter, Andrew K.; Joglekar, Yogesh N.; Physics, School of Science
    Parity-time symmetric systems allow one to study new types of Hamiltonians which could have potential impact on our understanding of nonlinear physics. The authors investigate the energy stored in an electronic Floquet system and demonstrate that such a setup can be used to study the dynamics of dissipative parity-time symmetric systems.