A Platform for Braiding Majorana Modes with Magnetic Skyrmions

• URL: http://arxiv.org/abs/2210.10650v1
• Date: Wed, 19 Oct 2022 15:25:58 GMT
• Title: A Platform for Braiding Majorana Modes with Magnetic Skyrmions
• Authors: Shiva T. Konakanchi, Jukka I. V\"ayrynen, Yong P. Chen, Pramey Upadhyaya and Leonid P. Rokhinson
• Abstract summary: We propose magnetic multilayer heterostructures with on-chip microwave cavity readout as a novel platform for initializing, braiding and reading out Majorana modes. We show that our nucleation and braiding scheme can be effectively realized with a variety of existing options for magnetic and superconducting layers.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological superconductor -- magnetic multilayer heterostructures with on-chip microwave cavity readout as a novel platform for initializing, braiding and reading out Majorana modes. Stray fields from a skyrmion in the magnetic layers can nucleate a vortex in the topological superconducting layer. Such a vortex is known to host Majorana bound states at its core. Through analytical calculations within London and Thiele formalisms, and through micromagnetic simulations, we show that our nucleation and braiding scheme can be effectively realized with a variety of existing options for magnetic and superconducting layers. Further, we show that the coupling of the Majorana bound states to electric field of a resonator leads to an experimentally observable parity-dependent dispersive shift of the resonator frequency. Our work paves the way for realizing Majorana braiding in the near future.

Related papers

• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands [0.19116784879310028]
  Fractional excitations offer vast potential for both fundamental physics and quantum technologies. Here, we investigate the evolution of low-energy Majorana dispersions across various crystalline phases of the pi-flux in the Kitaev spin model on a honeycomb lattice. We identify conditions under which this superexchange interaction acts as a Z2 gauge field, governing the tight-binding hopping of Majorana Wannier orbitals.
  arXiv  Detail & Related papers  (2024-07-17T13:44:39Z)
• Emergent Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a novel mechanism to explain the emergence of an intermediate gapless spin liquid phase (IGP) in the antiferromagnetic Kitaev model. We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States (iPEPS) an Entsatz.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Fragmented superconductivity in the Hubbard model as solitons in Ginzburg-Landau theory [58.720142291102135]
  Superconductivity and charge density waves are observed in close vicinity in strongly correlated materials. We investigate the nature of such an intertwined state of matter stabilized in the phase diagram of the elementary $t$-$tprime$-$U$ Hubbard model. We provide conclusive evidence that the macroscopic wave functions of the superconducting fragments are well-described by soliton solutions of a Ginzburg-Landau equation.
  arXiv  Detail & Related papers  (2023-07-21T18:00:07Z)
• Majorana-magnon interactions in topological Shiba chains [0.0]
  A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes. Here we propose to leverage the intrinsic dynamics of the magnetic impurities to access their non-local character. We demonstrate that this mode, which spreads over the entire chain of atoms, becomes imprinted with the parity of the ground state.
  arXiv  Detail & Related papers  (2023-03-23T17:59:32Z)
• Many-body Majorana braiding without an exponential Hilbert space [0.0]
  Qubits built out of Majorana zero modes (MZMs) constitute the primary path towards topologically protected quantum computing. Simulating the braiding process of multiple MZMs corresponds to the quantum dynamics of a superconducting many-body system. We present a method to calculate arbitrary many-body wavefunctions as well as their expectation values, correlators and overlaps from time evolved single-particle states of a superconductor.
  arXiv  Detail & Related papers  (2023-03-01T19:00:01Z)
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms [0.0]
  We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive. We derive the effective Hamiltonian to leading order in the inverse-frequency expansion, and show that the drive opens up a topological gap in the spectrum. We address the challenge of probing the physics of Majorana fermions, while having only access to the original composite spin degrees of freedom.
  arXiv  Detail & Related papers  (2022-11-17T18:51:49Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Observing and braiding topological Majorana modes on programmable quantum simulators [0.0]
  A collective excitation, known as a topological Majorana mode, is naturally stable against perturbations. This work shows that long-sought quantum phenomena can be realized by anyone in cloud-run quantum simulations.
  arXiv  Detail & Related papers  (2022-03-28T20:41:27Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
  We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
  arXiv  Detail & Related papers  (2020-06-24T07:32:51Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.