activity
20092017
most citedTensor network states and algorithms in the presence of a global U(1) symmetry

296 citations · 943 across the 16 of their papers we have counts for

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Showing cond-mat.str-elShow all

11 papers · 1 filter

cond-mat.str-el2017★ 12 cited

Holographic spin networks from tensor network states

Sukhwinder Singh, Nathan A. McMahon, Gavin K. Brennen

In the holographic correspondence of quantum gravity, a global onsite symmetry at the boundary generally translates to a local gauge symmetry in the bulk. We describe one way how t…

cond-mat.str-el2017★ 11 cited

Tensor network state correspondence and holography

Sukhwinder Singh

In recent years, tensor network states have emerged as a very useful conceptual and simulation framework to study quantum many-body systems at low energies. In this paper, we descr…

cond-mat.str-el2015★ 11 cited

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…

cond-mat.str-el2015★ 12 cited

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…

cond-mat.str-el2014★ 9 cited

Identifying quantum phases from injectivity of symmetric matrix product states

Sukhwinder Singh

Given a local gapped Hamiltonian with a global symmetry on a one dimensional lattice we describe a method to identify if the Hamiltonian belongs to a quantum phase in which the sym…

cond-mat.str-el2013★ 25 cited

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…