8 research outputs found
Engineering Yang-Lee anyons via Majorana bound states
We propose the platform of a Yang-Lee anyon system which is constructed from
Majorana bound states in topological superconductors. Yang-Lee anyons,
described by the non-unitary conformal field theory with the central charge
, are non-unitary counterparts of Fibonacci anyons, obeying the same
fusion rule, but exhibiting non-unitary non-Abelian braiding statistics. We
consider a topological superconductor junction system coupled with dissipative
electron baths, which realizes a non-Hermitian interacting Majorana system.
Numerically estimating the central charge, we examine the condition that the
non-Hermitian Majorana system can simulate the Ising spin model of the Yang-Lee
edge singularity, and confirm that, by controlling model parameters in a
feasible way, the Yang-Lee edge criticality is realized. On the basis of this
scenario, we present the scheme for the fusion, measurement and braiding of
Yang-Lee anyons in our proposed setup.Comment: 12 pages, 11 figure
Matrix Product Renormalization Group: Potential Universal Quantum Many-Body Solver
The density matrix renormalization group (DMRG) is a celebrated tensor
network algorithm, which computes the ground states of one-dimensional quantum
many-body systems very efficiently. Here we propose an improved formulation of
continuous tensor network algorithms, which we name a matrix product
renormalization group (MPRG). MPRG is a universal quantum many-body solver,
which potentially works at both zero and finite temperatures, in two and higher
dimensions, and is even applicable to open quantum systems. Furthermore, MPRG
does not rely on any variational principles and thus supports any kind of
non-Hermitian systems in any dimension. As a demonstration, we present critical
properties of the Yang-Lee edge singularity in one dimension as a
representative non-Hermitian system.Comment: 5 pages, 3 figures, 2 table