Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Georgiev, Lachezar S."'
We investigate a promising conformal field theory realization scheme for topological quantum computation based on the Fibonacci anyons, which are believed to be realized as quasiparticle excitations in the $\mathbb{Z}_3$ parafermion fractional quantu
Externí odkaz:
http://arxiv.org/abs/2404.01779
Publikováno v:
J. High Energ. Phys. 2024, 84 (2024)
Fibonacci anyons provide the simplest possible model of non-Abelian fusion rules: [1] x [1] = [0] + [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations
Externí odkaz:
http://arxiv.org/abs/2404.01778
Autor:
Georgiev, Lachezar S.
Using the decomposition of rational conformal filed theory characters for the ${\mathbb Z}_k$ parafermion quantum Hall droplets for general $k=2,3, \ldots$, we derive analytically the full modular $S$ matrix for these states, including the $\widehat{
Externí odkaz:
http://arxiv.org/abs/1912.03482
Autor:
Georgiev, Lachezar S.
We review the general strategy of topologically protected quantum information processing based on non-Abelian anyons, in which quantum information is encoded into the fusion channels of pairs of anyons and in fusion paths for multi-anyon states, real
Externí odkaz:
http://arxiv.org/abs/1602.05035
Autor:
Georgiev, Lachezar S.
Using the explicit rational conformal field theory partition functions for the ${\mathbb Z}_k$ parafermion quantum Hall states on a disk we compute numerically the thermoelectric power factor for Coulomb-blockaded islands at finite temperature. We de
Externí odkaz:
http://arxiv.org/abs/1601.07034
Autor:
Georgiev, Lachezar S.
Publikováno v:
Nucl. Phys. B 899 (2015) 289-311
Using the conformal field theory approach to the thermoelectric characteristics of fractional quantum Hall states, previously developed in Nucl. Phys. B 894 (2015) 284, we show that the thermoelectric power factor of Coulomb-blockaded islands, realiz
Externí odkaz:
http://arxiv.org/abs/1505.02538
Autor:
Georgiev, Lachezar S.
Publikováno v:
Nuclear Physics B 894 (2015) 284-306
We show that it is possible and rather efficient to compute at non-zero temperature the thermoelectric characteristics of Coulomb blockaded fractional quantum Hall islands, formed by two quantum point contacts inside of a Fabry-Perot interferometer,
Externí odkaz:
http://arxiv.org/abs/1406.6177
Autor:
Georgiev, Lachezar S.
Using the conformal field theory partition function of a Coulomb-blockaded quantum dot, constructed by two quantum point contacts in a Laughlin quantum Hall bar, we derive the finite-temperature thermodynamic expression for the thermopower in the lin
Externí odkaz:
http://arxiv.org/abs/1406.5592
Autor:
Georgiev, Lachezar S.
We show how to construct the thermodynamic grand potential of a droplet of incompressible fractional quantum Hall liquid, formed inside of an electronic Fabry--P\'erot interferometer, in terms of the conformal field theory disk partition function for
Externí odkaz:
http://arxiv.org/abs/1112.5946
Autor:
Georgiev, Lachezar S.
Publikováno v:
EPL, 91 (2010) 41001
We demonstrate that the differential magnetic susceptibility of a fractional quantum Hall disk, representing a Coulomb island in a Fabry--Perot interferometer, is exactly proportional to the island's conductance and its paramagnetic peaks are the equ
Externí odkaz:
http://arxiv.org/abs/1003.4871