Dissipative topological superconductors in number-conserving systems

@article{Iemini2015DissipativeTS,
  title={Dissipative topological superconductors in number-conserving systems},
  author={Fernando Iemini and Davide Rossini and Rosario Fazio and Sebastian Diehl and Leonardo Mazza},
  journal={Physical Review B},
  year={2015},
  volume={93},
  pages={115113}
}
We discuss the dissipative preparation of p-wave superconductors in number-conserving one-dimensional fermionic systems. We focus on two setups: the first one entails a single wire coupled to a bath, whereas in the second one the environment is connected to a two-leg ladder. Both settings lead to stationary states which feature the bulk properties of a p-wave superconductor, identified in this number-conserving setting through the long-distance behavior of the proper p-wave correlations. The… 

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References

SHOWING 1-10 OF 48 REFERENCES

Introduction to Topological Quantum Computation

The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way and special emphasis is given to the motivation and physical intuition behind every mathematical concept.

Numerical recipes in C

The Diskette v 2.06, 3.5''[1.44M] for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.

Phys

  • Rev. Lett. 115, 156402
  • 2015

New J

  • Phys. 15, 085001
  • 2013

Perturbation theory for linear operators

Phys

  • Rev. A 92, 013603
  • 2015

Phys

  • Rev. B 78, 155117
  • 2008

Annu

  • Rev. Condens. Matter Phys. 4, 113
  • 2013

Phys

  • Rev. A 93, 021602
  • 2016

Quant

  • Inf. Comput. 12, 925
  • 2012