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The entanglement of distillation for gauge theories
Karel Van Acoleyen, Nick Bultinck, Jutho Haegeman +3
We study the entanglement structure of lattice gauge theories from the local operational point of view, and, similar to Soni and Trivedi (arXiv:1510.07455), we show that the usual…
Tensor networks for gauge field theories
Boye Buyens, Jutho Haegeman, Frank Verstraete +1
Over the last decade tensor network states (TNS) have emerged as a powerful tool for the study of quantum many body systems. The matrix product states (MPS) are one particular clas…
Anyons and matrix product operator algebras
Nick Bultinck, Michael Mariën, Dominic J. Williamson +3
Quantum tensor network states and more particularly projected entangled-pair states provide a natural framework for representing ground states of gapped, topologically ordered syst…
Matrix product state renormalization
Matthias Bal, Marek M. Rams, Valentin Zauner +2
The truncation or compression of the spectrum of Schmidt values is inherent to the matrix product state (MPS) approximation of one-dimensional quantum ground states. We provide a r…
Confinement and string breaking for QED in the Hamiltonian picture
Boye Buyens, Jutho Haegeman, Henri Verschelde +2
The formalism of matrix product states is used to perform a numerical study of 1+1 dimensional QED -- also known as the (massive) Schwinger model -- in the presence of an external…
Excitations and the tangent space of projected entangled-pair states
Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete +1
We develop tangent space methods for projected entangled-pair states (PEPS) that provide direct access to the low-energy sector of strongly-correlated two-dimensional quantum syste…