87 citations · 383 across the 17 of their papers we have counts for
17 papers
Variational optimization of projected entangled-pair states on the triangular lattice
Jan Naumann, Jens Eisert, Philipp Schmoll
We introduce a general corner transfer matrix renormalization group algorithm tailored to projected entangled-pair states on the triangular lattice. By integrating automatic differ…
Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach
Jan Naumann, Erik Lennart Weerda, Jens Eisert +2
Projected entangled-pair states (PEPS) have become a powerful tool for studying quantum many-body systems in the condensed matter and quantum materials context, particularly with a…
A minimal tensor network beyond free fermions
Carolin Wille, Maksimilian Usoltcev, Jens Eisert +1
This work proposes a minimal model extending the duality between classical statistical spin systems and fermionic systems beyond the case of free fermions. A Jordan-Wigner transfor…
An extended non-magnetic phase in the spin-1/2 Heisenberg antiferromagnet from the ruby to the maple-leaf lattice
Philipp Schmoll, Jan Naumann, Erik Lennart Weerda +2
The spin-1/2 Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices provides a stringent test case for frustrated quantum magnetism, where semiclassical mag…
Hamiltonian truncation tensor networks for quantum field theories
Philipp Schmoll, Jan Naumann, Alexander Nietner +2
Understanding the equilibrium properties and out of equilibrium dynamics of quantum field theories are key aspects of fundamental problems in theoretical particle physics and cosmo…
Topological dualities via tensor networks
C. Wille, J. Eisert, A. Altland
The ground state of the toric code, that of the two-dimensional class D superconductor, and the partition sum of the two-dimensional Ising model are dual to each other. This dualit…
Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
Philipp Schmoll, Augustine Kshetrimayum, Jan Naumann +2
We investigate the ground state of the spin Heisenberg anti-ferromagnet on the Shuriken lattice, also in the presence of an external magnetic field. To this end, we employ…
Entanglement estimation in tensor network states via sampling
Noa Feldman, Augustine Kshetrimayum, Jens Eisert +1
We introduce a method for extracting meaningful entanglement measures of tensor network states in general dimensions. Current methods require the explicit reconstruction of the den…
Towards topological fixed-point models beyond gappable boundaries
Andreas Bauer, Jens Eisert, Carolin Wille
We consider fixed-point models for topological phases of matter formulated as discrete path integrals in the language of tensor networks. Such zero-correlation length models with a…
The classical two-dimensional Heisenberg model revisited: An -symmetric tensor network study
Philipp Schmoll, Augustine Kshetrimayum, Jens Eisert +2
The classical Heisenberg model in two spatial dimensions constitutes one of the most paradigmatic spin models, taking an important role in statistical and condensed matter physics…
A unified diagrammatic approach to topological fixed point models
A. Bauer, J. Eisert, C. Wille
We introduce a systematic mathematical language for describing fixed point models and apply it to the study to topological phases of matter. The framework is reminiscent of state-s…
Quantum time crystals with programmable disorder in higher dimensions
A. Kshetrimayum, M. Goihl, D. M. Kennes +1
We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. Discrete time crystals are intricate quantum systems that break discrete tim…
Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell
A. Nietner, B. Vanhecke, F. Verstraete +2
Tensor network states provide an efficient class of states that faithfully capture strongly correlated quantum models and systems in classical statistical mechanics. While tensor n…
Time evolution of many-body localized systems in two spatial dimensions
Augustine Kshetrimayum, Marcel Goihl, Jens Eisert
Many-body localization is a striking mechanism that prevents interacting quantum systems from thermalizing. The absence of thermalization behaviour manifests itself, for example, i…
Towards a mathematical formalism for classifying phases of matter
Andreas Bauer, Jens Eisert, Carolin Wille
We propose a unified mathematical framework for classifying phases of matter. The framework is based on different types of combinatorial structures with a notion of locality called…
A tensor network annealing algorithm for two-dimensional thermal states
A. Kshetrimayum, M. Rizzi, J. Eisert +1
Tensor network methods have become a powerful class of tools to capture strongly correlated matter, but methods to capture the experimentally ubiquitous family of models at finite…
Fermionic topological quantum states as tensor networks
C. Wille, O. Buerschaper, J. Eisert
Tensor network states, and in particular projected entangled pair states, play an important role in the description of strongly correlated quantum lattice systems. They do not only…