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Effects of dynamical noises on Majorana bound states

Radgohar, R ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.102.165111
  3. Publisher: American Physical Society , 2020
  4. Abstract:
  5. The nonlocal nature of unpaired Majorana bound states (MBSs) in topological superconductors can be exploited to create topologically protected qubits and perform gate operations fault-tolerantly via braidings. However, the time-dependent noises induced by coupling to an environment which is inevitable in any realistic system could spoil the topological protection. In this work, we study the effects of various dynamical noises such as Lorentzian, thermal, and quantum point contact on the MBSs in the recently proposed one-dimensional topological superconductors. We begin by investigating the Kitaev p-wave superconductors and examine the effects of long-range hopping and pairing on the transition rate of MBSs. We found that, especially, the long-range pairings significantly reduce the transition rate of bound states. Then, we consider the recently discovered topological superconducting nanowires and magnetic chains. Our findings are consequential for the recent attempts to manipulate MBSs. In particular, for the latter two experimentally realized systems we argue how low magnetic/Zeeman fields and strong spin-orbit coupling make the MBSs more robust to noises. © 2020 American Physical Society
  6. Keywords:
  7. Point contacts ; Quantum chemistry ; Seismic waves ; Spin orbit coupling ; Superconducting materials ; Topology ; Dynamical noise ; Magnetic chains ; P wave superconductors ; Quantum point contact ; Realistic systems ; Superconducting nanowire ; Time dependent ; Transition rates ; Spin fluctuations
  8. Source: Physical Review B ; Volume 102, Issue 16 , 2020
  9. URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.165111