425 citations · 1.5k across the 23 of their papers we have counts for
23 papers
Falsifiable analog model predictions of mass in CDF II and ATLAS
R. N. C. Pfeifer
The CDF II measurement of boson mass is at significant () tension with the Standard Model, and moderate () tension with recent results from ATLAS. Any attempt t…
A Classical Analogue to the Standard Model, Chapter 2: Colour interactions and fermions from scalar fields on
R. N. C. Pfeifer
This paper continues the study of quasiparticles on complex manifolds with anticommuting co-ordinates, and shows that on increasing the dimensionality of the complex manifold from…
A Classical Analogue to the Standard Model, Chapters 4-11: Particle generations and masses; curved spacetimes and gravitation; heavy weak bosons
R. N. C. Pfeifer
The analogue model contains counterparts to the particle spectrum and interactions of the Standard Model, and has only three tunable parameters. As the str…
Phase transitions on a ladder of braided non-Abelian anyons
Babatunde M. Ayeni, Robert N. C. Pfeifer, Gavin K. Brennen
Non-Abelian anyons can exist as point-like particles in two-dimensional systems, and have particle exchange statistics which are neither bosonic nor fermionic. Like in spin systems…
Simulation of braiding anyons using Matrix Product States
Babatunde M. Ayeni, Sukhwinder Singh, Robert N. C. Pfeifer +1
Anyons exist as point like particles in two dimensions and carry braid statistics which enable interactions that are independent of the distance between the particles. Except for a…
Phase diagram for hard-core anyons on the ladder
Robert N. C. Pfeifer
Studies of free particles in low-dimensional quantum systems such as two-leg ladders provide insight into the influence of statistics on collective behaviour. The behaviours of bos…
Symmetry-Protected Local Minima in Infinite DMRG
Robert N. C. Pfeifer
The infinite Density Matrix Renormalisation Group (iDMRG) algorithm is a highly successful numerical algorithm for the study of low-dimensional quantum systems, and is also frequen…
Finite Density Matrix Renormalisation Group Algorithm for Anyonic Systems
Robert N. C. Pfeifer, Sukhwinder Singh
The numerical study of anyonic systems is known to be highly challenging due to their non-bosonic, non-fermionic particle exchange statistics, and with the exception of certain mod…
NCON: A tensor network contractor for MATLAB
Robert N. C. Pfeifer, Glen Evenbly, Sukhwinder Singh +1
A fundamental process in the implementation of any numerical tensor network algorithm is that of contracting a tensor network. In this process, a network made up of multiple tensor…
Matrix product states for anyonic systems and efficient simulation of dynamics
Sukhwinder Singh, Robert N. C. Pfeifer, Guifre Vidal +1
Matrix product states (MPS) have proven to be a very successful tool to study lattice systems with local degrees of freedom such as spins or bosons. Topologically ordered systems c…
Improving the efficiency of variational tensor network algorithms
Glen Evenbly, Robert N. C. Pfeifer
We present several results relating to the contraction of generic tensor networks and discuss their application to the simulation of quantum many-body systems using variational app…
Measures of entanglement in non-Abelian anyonic systems
Robert N. C. Pfeifer
Bipartite entanglement entropies, calculated from the reduced density matrix of a subsystem, provide a description of the resources available within a system for performing quantum…
Faster identification of optimal contraction sequences for tensor networks
Robert N. C. Pfeifer, Jutho Haegeman, Frank Verstraete
The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, lo…
Simulation of Anyons Using Symmetric Tensor Network Algorithms
Robert N. C. Pfeifer
In this thesis I develop a formalism whereby a tensor network may be understood in terms of a unitary braided tensor category, and represented in a particularly efficient manner co…
Classification of topological symmetry sectors on anyon rings
Robert N. C. Pfeifer
The golden chain with antiferromagnetic interaction is an anyonic system of particular interest as when all anyons are confined to the chain, it is readily stabilised against fluct…
Tensor network states and algorithms in the presence of a global U(1) symmetry
Sukhwinder Singh, Robert N. C. Pfeifer, Guifre Vidal
Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms. In a…
Simulation of anyons with tensor network algorithms
Robert N. C. Pfeifer, Philippe Corboz, Oliver Buerschaper +3
Interacting systems of anyons pose a unique challenge to condensed matter simulations due to their non-trivial exchange statistics. These systems are of great interest as they have…
Translation invariance, topology, and protection of criticality in chains of interacting anyons
Robert N. C. Pfeifer, Oliver Buerschaper, Simon Trebst +3
Using finite size scaling arguments, the critical properties of a chain of interacting anyons can be extracted from the low energy spectrum of a finite system. In Phys. Rev. Lett.…
Boundary quantum critical phenomena with entanglement renormalization
G. Evenbly, R. N. C. Pfeifer, V. Pico +4
We extend the formalism of entanglement renormalization to the study of boundary critical phenomena. The multi-scale entanglement renormalization ansatz (MERA), in its scale invari…
Tensor network decompositions in the presence of a global symmetry
Sukhwinder Singh, Robert N. C. Pfeifer, Guifre Vidal
Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms. We di…
Constraining Validity of the Minkowski Energy-Momentum Tensor
R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg +1
There exist two popular energy-momentum tensors for an electromagnetic wave in a dielectric medium. The Abraham expression is robust to experimental verification but more mathemati…
Entanglement renormalization, scale invariance, and quantum criticality
Robert N. C. Pfeifer, Glen Evenbly, Guifre Vidal
The use of entanglement renormalization in the presence of scale invariance is investigated. We explain how to compute an accurate approximation of the critical ground state of a l…
Momentum of an electromagnetic wave in dielectric media
Robert N. C. Pfeifer, Timo A. Nieminen, Norman R. Heckenberg +1
Almost a hundred years ago, two different expressions were proposed for the energy--momentum tensor of an electromagnetic wave in a dielectric. Minkowski's tensor predicted an incr…