Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Slingerland, Joost"'
Topology in many-body physics usually emerges as a feature of equilibrium quantum states. We show that topological fingerprints can also appear in the relaxation rates of open quantum systems. To demonstrate this we consider one of the simplest model
Externí odkaz:
http://arxiv.org/abs/2401.13732
The Frobenius-Schur indicator is a parameter $\kappa_a=\pm 1$ assigned to each self-dual particle $a$ in a TQFT. If $\kappa_a$ is negative then straightening out a timelike zig-zag in the worldline of a particle of type $a$ can incur a minus sign and
Externí odkaz:
http://arxiv.org/abs/2208.14500
Autor:
Kirchner, Nico, Millar, Darragh, Ayeni, Babatunde M., Smith, Adam, Slingerland, Joost K., Pollmann, Frank
Publikováno v:
Phys. Rev. B 107, 195129 (2022)
Two-dimensional systems such as quantum spin liquids or fractional quantum Hall systems exhibit anyonic excitations that possess more general statistics than bosons or fermions. This exotic statistics makes it challenging to solve even a many-body sy
Externí odkaz:
http://arxiv.org/abs/2206.14730
Autor:
Vercleyen, Gert, Slingerland, Joost
We present a method to generate all fusion rings of a specific rank and multiplicity. This method was used to generate exhaustive lists of fusion rings up to order 9 for several multiplicities. We introduce a class of non-commutative fusion rings bas
Externí odkaz:
http://arxiv.org/abs/2205.15637
Autor:
Conlon, Aaron, Slingerland, Joost K
Exchanging particles on graphs, or more concretely on networks of quantum wires, has been proposed as a means to perform fault tolerant quantum computation. This was inspired by braiding of anyons in planar systems. However, exchanges on a graph are
Externí odkaz:
http://arxiv.org/abs/2202.08207
We investigate the existence, normalization and explicit construction of edge zero modes in topologically ordered spin chains. In particular we give a detailed treatment of zero modes in a $\mathbb{Z}_3$ generalization of the Ising/Kitaev chain, whic
Externí odkaz:
http://arxiv.org/abs/1908.03459
Autor:
Fremling, Mikael, Slingerland, Joost
Publikováno v:
Sci Rep 10, 3710 (2020)
Fluid states of matter can locally exhibit characteristics of the onset of crystalline order. Traditionally this has been theoretically investigated using multipoint correlation functions. However new measurement techniques now allow multiparticle co
Externí odkaz:
http://arxiv.org/abs/1903.02067
Publikováno v:
Phys. Rev. Lett. 123, 140404 (2019)
We demonstrate that certain vortices in spinor Bose-Einstein condensates are non-Abelian anyons and may be useful for topological quantum computation. We perform numerical experiments of controllable braiding and fusion of such vortices, implementing
Externí odkaz:
http://arxiv.org/abs/1805.10009
Publikováno v:
Phys. Rev. B 95, 235127 (2017)
We explore the $\mathbb{Z}_{N}$ parafermionic clock-model generalisations of the p-wave Majorana wire model. In particular we examine whether zero-mode operators analogous to Majorana zero-modes can be found in these models when one introduces chiral
Externí odkaz:
http://arxiv.org/abs/1701.05270
Publikováno v:
Phys. Rev. B 90, 235101 (2014)
We study a quantum Hall bilayer system of bosons at total filling factor $\nu = 1$, and study the phase that results from short ranged pair-tunneling combined with short ranged interlayer interactions. We introduce two exactly solvable model Hamilton
Externí odkaz:
http://arxiv.org/abs/1409.6339