Growth of the coefficient of quasiconformality and the boundary correspondence of automorphisms of a ball

1986 ◽  
Vol 61 (1) ◽  
pp. 60-66 ◽  
Author(s):  
M. Perović
Keyword(s):  
Boundary Correspondence ◽  
Coefficient Of Quasiconformality

scholarly journals Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Heinrich-Gregor Zirnstein ◽  
Gil Refael ◽  
Bernd Rosenow
Keyword(s):  
Green Functions ◽  
Boundary Correspondence

scholarly journals Bulk-boundary correspondence in Josephson junctions

2014 ◽  
Vol 55 ◽  
pp. 48-54 ◽  
Author(s):  
Jeongmin Yoo ◽  
Tetsuro Habe ◽  
Yasuhiro Asano
Keyword(s):  
Josephson Junctions ◽  
Boundary Correspondence

scholarly journals Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence

2015 ◽  
Vol 2015 (6) ◽  
Author(s):  
Fernando Pastawski ◽  
Beni Yoshida ◽  
Daniel Harlow ◽  
John Preskill
Keyword(s):  
Error Correcting Codes ◽  
Boundary Correspondence ◽  
Quantum Error

scholarly journals Unified bulk-boundary correspondence for band insulators

2018 ◽  
Vol 97 (11) ◽  
Author(s):  
Jun-Won Rhim ◽  
Jens H. Bardarson ◽  
Robert-Jan Slager
Keyword(s):  
Boundary Correspondence

Novel topological end modes and breaking of bulk boundary correspondence in skin-effect absent superconductive chain

2021 ◽  
Author(s):  
Huan-Yu Wang ◽  
Wu-Ming Liu
Keyword(s):  
Skin Effect ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Topological Invariants ◽  
Quantum Matter ◽  
Topological Quantum ◽  
Boundary Correspondence ◽  
Quantum Chain ◽  
New Type ◽  
Majorana Modes

Abstract Topological nontrivial systems feature isolated gapless edge modes, and play a key role in advancing our understanding of quantum matter. A most profound way to characterize edge modes above is through bulk topological invariants, which is known as bulk boundary correspondence. Recent studies on non-Hermitian physics have pronounced the broken bulk-boundary correspondence with the presence of skin effect. Here, we propose a new type of fermionic topological edge modes η, satisfying η+= iη,η2=-i. Remarkably, we demonstrate that for both two cases: superconductive chain with purely η modes and quantum chain with η, Majorana modes γ on different ends, fermion parity can be well defined. Interestingly, for the latter case, broken bulk boundary correspondence is observed despite the absence of skin effects . The phenomenon above is unique to open quantum systems. For the junction with both η,γ modes, the current will not remain sinusoid form but decay exponentially. The exchange of η modes obeys the rules of non-abelian statistics, and can find its applications in topological quantum computing.

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