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• W3103454487 abstract "We investigate the effects of dissipation and driving on topological order in superconducting nanowires. Rather than studying the non-equilibrium steady state, we propose a method to classify and detect dynamical signatures of topological order in open quantum systems. Bulk winding numbers for the Lindblad generator hat{mathcal{L}} <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mover><mml:mstyle mathvariant=script><mml:mi>ℒ</mml:mi></mml:mstyle><mml:mo accent=true>̂</mml:mo></mml:mover></mml:math> of the dissipative Kitaev chain are found to be linked to the presence of Majorana edge master modes – localized eigenmodes of hat{mathcal{L}} <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mover><mml:mstyle mathvariant=script><mml:mi>ℒ</mml:mi></mml:mstyle><mml:mo accent=true>̂</mml:mo></mml:mover></mml:math> . Despite decaying in time, these modes provide dynamical fingerprints of the topological phases of the closed system, which are now separated by intermediate regions where winding numbers are ill-defined and the bulk-boundary correspondence breaks down. Combining these techniques with the Floquet formalism reveals higher winding numbers and different types of edge modes under periodic driving. Finally, we link the presence of edge modes to a steady state current." @default.
• W3103454487 created "2020-11-23" @default.
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• W3103454487 date "2019-02-27" @default.
• W3103454487 modified "2023-10-14" @default.
• W3103454487 title "Dynamical signatures of topological order in the driven-dissipative Kitaev chain" @default.
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• W3103454487 doi "https://doi.org/10.21468/scipostphys.6.2.026" @default.
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