Tootfinder

Scheme for braiding Majorana zero modes in vortices using an STT-matrix
Guangyao Huang, Xinfang Zhang, Xiapfeng Yi, Jibang Fu, Weichen Wang, Mingtang Deng
https://arxiv.org/abs/2404.18578

Scheme for braiding Majorana zero modes in vortices using an STT-matrix
Recently conducted experiments on two-dimensional topological superconductors have revealed various indications of Majorana zero modes (MZMs). However, progress in the manipulation of MZM braiding has been limited, impeding the realization of topological quantum computing. In this study, we propose a potential braiding scheme based on a spintronic device matrix. This scheme involves utilizing a matrix composed of spin-transfer torque devices (STT-matrix) alongside a two-dimensional topological …

What are people with long hair using to protect it while riding in windy conditions, either bicycle or motorcycle? I'm getting too many tangles. Looking at Hightail or something similar. Or getting better at braiding. Suggestions?
#GirlsWhoRide #BikeTooter #motorcycle @ellie@bikers.social@bikers.social @… @…

Chromospheric and coronal heating in an active region plage by dissipation of currents from braiding: #Sun: https://science.nasa.gov/science-research/heliophysics/nasa-observations-find-what-helps-heat-roots-of-moss-on-sun/

This https://arxiv.org/abs/2403.18983 has been replaced.
initial toot: https://mastoxiv.page/@a…

Anyon braiding and telegraph noise in a graphene interferometer
The search for anyons, quasiparticles with fractional charge and exotic exchange statistics, has inspired decades of condensed matter research. Quantum Hall interferometers enable direct observation of the anyon braiding phase via discrete interference phase jumps when the quasiparticle number changes. Here, we observe the universal anyonic braiding phase in both the $ν= 1/3$ and $4/3$ fractional quantum Hall states by probing three-state random telegraph noise (RTN) in real-time. We find that…

This https://arxiv.org/abs/2306.00558 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Infinitesimal braidings and pre-Cartier bialgebras
We propose an infinitesimal counterpart to the notion of braided category. The corresponding infinitesimal braidings are natural transformations which are compatible with an underlying braided monoidal structure in the sense that they constitute a first-order deformation of the braiding. This extends previously considered infinitesimal symmetric or Cartier categories, where involutivity of the braiding and an additional commutativity of the infinitesimal braiding with the symmetry are required.…

This https://arxiv.org/abs/2304.00068 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

DHR bimodules of quasi-local algebras and symmetric quantum cellular automata
For a net of C*-algebras on a discrete metric space, we introduce a bimodule version of the DHR tensor category and show it is an invariant of quasi-local algebras under isomorphisms with bounded spread. For abstract spin systems on a lattice $L\subseteq \mathbb{R}^{n}$ satisfying a weak version of Haag duality, we construct a braiding on these categories. Applying the general theory to quasi-local algebras $A$ of operators on a lattice invariant under a (categorical) symmetry, we obtain a homo…

This https://arxiv.org/abs/2306.00558 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Infinitesimal braidings and pre-Cartier bialgebras
We propose an infinitesimal counterpart to the notion of braided category. The corresponding infinitesimal braidings are natural transformations which are compatible with an underlying braided monoidal structure in the sense that they constitute a first-order deformation of the braiding. This extends previously considered infinitesimal symmetric or Cartier categories, where involutivity of the braiding and an additional commutativity of the infinitesimal braiding with the symmetry are required.…

This https://arxiv.org/abs/2206.09941 has been replaced.
link: https://scholar.google.com/scholar?q=a

Excitations in the Higher Lattice Gauge Theory Model for Topological Phases III: the (3+1)-Dimensional Case
In this, the third paper in our series describing the excitations of the higher lattice gauge theory model for topological phases, we will examine the 3+1d case in detail. We will explicitly construct the ribbon and membrane operators which create the topological excitations, and use these creation operators to find the pattern of condensation and confinement. We also use these operators to find the braiding relations of the excitations, and to construct charge measurement operators which proje…

Braiding of Majorana bound states in a driven-dissipative Majorana box setup
Kunmin Wu, Sadeq S. Kadijani, Thomas L. Schmidt
https://arxiv.org/abs/2404.04147

Braiding of Majorana bound states in a driven-dissipative Majorana box setup
We investigate a system of Majorana box qubits, where each of the Coulomb blockaded boxes is driven by an applied AC voltage and is embedded in a dissipative environment. The AC voltage is applied between a pair of quantum dots, each of which is coupled by tunneling to a Majorana box qubit. Moreover, the dissipation is created by the coupling to an electromagnetic environment. Recent work has shown that in this case the Majorana bound states which form the computational basis can emerge as dark…

This https://arxiv.org/abs/1910.13562 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Reduced Tensor Product of Braided Tensor Categories Containing a Symmetric Fusion Category
We detail a construction of a symmetric monoidal structure, called the reduced tensor product on the 2-category of braided tensor categories $\mathbf{BTC}(\mathcal{A})$ containing a fixed symmetric fusion subcategory $\mathcal{A}$. The construction only depends on the braiding and monoidal structure of the categories involved. The main tool in the construction is an enriching procedure that is shown to give an equivalence between $\mathbf{BTC}(\mathcal{A})$ and a 2-category of so-called Drinfel…

This https://arxiv.org/abs/1910.13562 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Reduced Tensor Product of Braided Tensor Categories Containing a Symmetric Fusion Category
We detail a construction of a symmetric monoidal structure, called the reduced tensor product on the 2-category of braided tensor categories $\mathbf{BTC}(\mathcal{A})$ containing a fixed symmetric fusion subcategory $\mathcal{A}$. The construction only depends on the braiding and monoidal structure of the categories involved. The main tool in the construction is an enriching procedure that is shown to give an equivalence between $\mathbf{BTC}(\mathcal{A})$ and a 2-category of so-called Drinfel…

This https://arxiv.org/abs/2204.05341 has been replaced.
link: https://scholar.google.com/scholar?q=a

Excitations in the Higher Lattice Gauge Theory Model for Topological Phases II: The (2+1)-Dimensional Case
In this work, the second paper of this series, we study the 2+1d version of a Hamiltonian model for topological phases based on higher lattice gauge theory. We construct the ribbon operators that produce the point-like excitations. These ribbon operators are used to find the braiding properties and topological charge carried by the point-like excitations. The model also hosts loop-like excitations, which are produced by membrane operators. By considering a change of basis, we show that, in cert…

On the Durdevic approach to quantum principal bundles
Antonio Del Donno, Emanuele Latini, Thomas Weber
https://arxiv.org/abs/2404.07944 https://

On the Durdevic approach to quantum principal bundles
We revisit and extend the Durdevic theory of complete calculi on quantum principal bundles. In this setting one naturally obtains a graded Hopf-Galois extension of the higher order calculus and an intrinsic decomposition of degree 1-forms into horizontal and vertical forms. This proposal is appealing, since it is consistently equipped with a canonical braiding and exactness of the Atiyah sequence is guaranteed. Moreover, we provide examples of complete calculi, including the noncommutative 2-to…

Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
Max McGinley, Michele Fava, S. A. Parameswaran
https://arxiv.org/abs/2402.06484

Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
We study the behaviour of linear and nonlinear spectroscopic quantities in two-dimensional topologically ordered systems, which host anyonic excitations exhibiting fractional statistics. We highlight the role that braiding phases between anyons have on the dynamics of such quasiparticles, which as we show dictates the behaviour of both linear response coefficients at finite temperatures, as well as nonlinear pump-probe response coefficients. These quantities, which act as probes of temporal cor…

Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
Max McGinley, Michele Fava, S. A. Parameswaran
https://arxiv.org/abs/2402.06484

Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
We study the behaviour of linear and nonlinear spectroscopic quantities in two-dimensional topologically ordered systems, which host anyonic excitations exhibiting fractional statistics. We highlight the role that braiding phases between anyons have on the dynamics of such quasiparticles, which as we show dictates the behaviour of both linear response coefficients at finite temperatures, as well as nonlinear pump-probe response coefficients. These quantities, which act as probes of temporal cor…