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Unambiguous identification of Majorana physics presents an outstanding problem whose solution could render topological quantum computing feasible. We develop a numerical approach to treat finite-size superconducting chains supporting…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Richard Korytár , Peter Schmitteckert

In this work we revisit the problem of a Majorana box qubit (MBQ) readout by a point-contact (PC) detector. The logic states of the MBQ are associated with the combined fermion parities of the MBQ and its tunnel-coupled quantum dot, which…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Huizi Xie , Sirui Yu , Hong Mao , Jinshuang Jin

Majorana fermions are promising candidates for storing and processing information in topological quantum computation. The ability to control such individual information carriers in trapped ultracold atomic Fermi gases is a novel theme in…

Quantum Gases · Physics 2013-01-21 Xia-Ji Liu , P. D. Drummond

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

We introduce exactly solvable models of interacting (Majorana) fermions in $d \ge 3$ spatial dimensions that realize a new kind of topological quantum order, building on a model presented in ref. [1]. These models have extensive topological…

Strongly Correlated Electrons · Physics 2015-12-30 Sagar Vijay , Jeongwan Haah , Liang Fu

Heterostructures of spin-orbit coupled materials with s-wave superconductors are thought to be capable of supporting zero-energy Majorana bound states. Such excitations are known to obey non-Abelian statistics in two dimensions, and are…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 David J Clarke , Jay D. Sau , Sumanta Tewari

We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

Strongly Correlated Electrons · Physics 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

Localized Majorana fermions emerge in many topologically ordered systems and exhibit exchange statistics of Ising anyons. This enables noise-resistant implementation of a limited set of operations by braiding and fusing Majorana fermions.…

Quantum Physics · Physics 2014-07-21 Earl T. Campbell , Matty J. Hoban , Jens Eisert

It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and…

Quantum Physics · Physics 2015-05-13 Tetsuo Ohmi , Mikio Nakahara

The observation of zero-bias conductance peaks in vortex cores of certain Fe-based superconductors has sparked renewed interest in vortex-bound Majorana states. These materials are believed to be intrinsically topological in their bulk…

Superconductivity · Physics 2023-09-13 Zhibo Ren , Justin Copenhaver , Leonid Rokhinson , Jukka I. Väyrynen

Quasiparticle excitations can compromise the performance of superconducting devices, causing high frequency dissipation, decoherence in Josephson qubits, and braiding errors in proposed Majorana-based topological quantum computers.…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 A. P. Higginbotham , S. M. Albrecht , G. Kirsanskas , W. Chang , F. Kuemmeth , P. Krogstrup , T. S. Jespersen , J. Nygard , K. Flensberg , C. M. Marcus

The fermionic and Majorana edge mode dynamics of various topological systems is compared, after a sudden global quench of the Hamiltonian parameters takes place. Attention is focused on the regimes where the survival probability of an edge…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 P. D. Sacramento

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor. We show that when odd number of subbands are occupied the system realizes non-trivial topological state supporting Majorana modes localized at the…

Superconductivity · Physics 2011-03-31 Roman M. Lutchyn , Tudor Stanescu , S. Das Sarma

The study of non-Abelian Majorana zero modes advances our understanding of the fundamental physics in quantum matter, and pushes the potential applications of such exotic states to topological quantum computation. It has been shown that in…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 Xiong-Jun Liu , Chris L. M. Wong , K. T. Law

We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used…

A decomposition of the non-equilibrium stationary state of a quadratic Fermi system influenced by linear baths is obtained and used to establish a simulation protocol in terms of tensor states. The scheme is then applied to examine the…

Quantum Physics · Physics 2021-01-14 Jose Reslen

We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 Dong E. Liu , Alex Levchenko , Harold U. Baranger

We introduce a new approach to create and detect Majorana fermions using optically trapped 1D fermionic atoms. In our proposed setup, two internal states of the atoms couple via an optical Raman transition---simultaneously inducing an…

In recent years, the reassessment of quantum physical phenomena under the framework of resource theories has triggered the design of novel quantum technologies that take advantage from quantum resources, such as entanglement and quantum…

Quantum Physics · Physics 2022-04-08 Diego Paiva Pires , Diogo O. Soares-Pinto , E. Vernek

In this paper, we study a set-up in which quantum dot is tunnel-coupled to Majorana-Kramers pair(MKP) which are the edge modes of time reversal invariant topological superconductor (TRITOPS), which is an experimental realization of time…

Strongly Correlated Electrons · Physics 2021-01-01 Rukhsan Ul Haq , Keshav Singh