Iemini, Fernando, Rossini, Davide ORCID: 0000-0002-9222-1913, Fazio, Rosario, Diehl, Sebastian and Mazza, Leonardo ORCID: 0000-0002-6754-127X (2016). Dissipative topological superconductors in number-conserving systems. Phys. Rev. B, 93 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

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 two schemes differ in the fact that the steady state of the single wire is not characterized by topological order, whereas the two-leg ladder hosts Majorana zero modes, which are decoupled from damping and exponentially localized at the edges. Our analytical results are complemented by a numerical study based both on an exact representation of the density matrix and on a matrix-product-density-operator one. With these tools we characterize the steady-state properties of the protocols, their asymptotic decay rate, and their robustness.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Iemini, FernandoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rossini, DavideUNSPECIFIEDorcid.org/0000-0002-9222-1913UNSPECIFIED
Fazio, RosarioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Diehl, SebastianUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Mazza, LeonardoUNSPECIFIEDorcid.org/0000-0002-6754-127XUNSPECIFIED
URN: urn:nbn:de:hbz:38-281663
DOI: 10.1103/PhysRevB.93.115113
Journal or Publication Title: Phys. Rev. B
Volume: 93
Number: 11
Date: 2016
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MAJORANA FERMIONS; QUANTUM COMPUTATION; SIMULATIONS; DRIVEN; ANYONS; ATOMSMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/28166

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