108 citations · 660 across the 24 of their papers we have counts for
24 papers
Stability of many-body localization in two dimensions
Junhyeok Hur, Joey Li, Byungjin Lee +8
Disordered quantum many-body systems pose one of the central challenges in condensed matter physics and quantum information science, as their dynamics are generally intractable for…
Gapped spinful phases obtained via Gutzwiller projections of Euler states
Thorsten B. Wahl, Lukas Devos, Robert-Jan Slager
Gutzwiller projections of non-interacting chiral topological phases are known to give rise to fractional, topologically ordered chiral phases. Here, we carry out a similar construc…
Two-dimensional many-body localized systems coupled to a heat bath
Joey Li, Amos Chan, Thorsten B. Wahl
We numerically investigate the effect of coupling a two-dimensional many-body localized system to a finite heat bath, using shallow quantum circuits as a variational ansatz. Specif…
Exact projected entangled pair ground states with topological Euler invariant
Thorsten B. Wahl, Wojciech J. Jankowski, Adrien Bouhon +2
We report on a class of gapped projected entangled pair states (PEPS) with non-trivial Euler topology motivated by recent progress in band geometry. In the non-interacting limit, t…
Many-body-localization protection of eigenstate topological order in two dimensions
Florian Venn, Thorsten B. Wahl, Benjamin Béri
Many-body localization (MBL) has been proposed to enable and protect topological order in all eigenstates, vastly expanding the traditional ground-state setting. However, for the m…
Simulating quantum circuits using efficient tensor network contraction algorithms with subexponential upper bound
Thorsten B. Wahl, Sergii Strelchuk
We derive a rigorous upper bound on the classical computation time of finite-ranged tensor network contractions in dimensions. Consequently, we show that quantum circuit…
Local integrals of motion detection of localization-protected topological order
Thorsten B. Wahl, Florian Venn, Benjamin Béri
Many-body-localized (MBL) phases can be topologically distinct, but distinguishing these phases using order parameters can be challenging. Here we show how topologically distinct l…
Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
Joey Li, Amos Chan, Thorsten B. Wahl
While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current de…
Topologically ordered time crystals
Thorsten B. Wahl, Bo Han, Benjamin Béri
We define topological time crystals, a dynamical phase of periodically driven quantum many-body systems capturing the coexistence of intrinsic topological order with the spontaneou…
Local Integrals of Motion for Topologically Ordered Many-Body Localized Systems
Thorsten B. Wahl, Benjamin Béri
Many-body localized (MBL) systems are often described using their local integrals of motion, which, for spin systems, are commonly assumed to be a local unitary transform of the se…
Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
Joey Li, Amos Chan, Thorsten B. Wahl
We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-…
Approximating observables on eigenstates of large many-body localized systems
Abishek K. Kulshreshtha, Arijeet Pal, Thorsten B. Wahl +1
Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit…
Classification of symmetry-protected topological many-body localized phases in one dimension
Amos Chan, Thorsten B. Wahl
We provide a classification of symmetry-protected topological (SPT) phases of many-body localized (MBL) spin and fermionic systems in one dimension. For spin systems, using tensor…
Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
Thorsten B. Wahl
We prove that all eigenstates of many-body localized symmetry protected topological systems with time reversal symmetry have four-fold degenerate entanglement spectra in the thermo…
Signatures of the Many-body Localized Regime in Two Dimensions
Thorsten B. Wahl, Arijeet Pal, Steven H. Simon
Lessons from Anderson localization highlight the importance of dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have…
Behavior of l-bits near the many-body localization transition
Abishek K. Kulshreshtha, Arijeet Pal, Thorsten B. Wahl +1
Eigenstates of fully many-body localized (FMBL) systems are described by quasilocal operators (l-bits), which are conserved exactly under Hamiltonian time evolution. The al…
Efficient representation of fully many-body localized systems using tensor networks
Thorsten B. Wahl, Arijeet Pal, Steven H. Simon
We propose a tensor network encoding the set of all eigenstates of a fully many-body localized system in one dimension. Our construction, conceptually based on the ansatz introduce…
Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
Erez Zohar, Thorsten B. Wahl, Michele Burrello +1
Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body…
Tensor network states for the description of quantum many-body systems
Thorsten B. Wahl
This thesis is divided into two mainly independent parts: In the first part, we derive a criterion to determine when a translationally invariant Matrix Product State (MPS) has long…
Fermionic Projected Entangled Pair States and Local U(1) Gauge Theories
Erez Zohar, Michele Burrello, Thorsten B. Wahl +1
Tensor networks, and in particular Projected Entangled Pair States (PEPS), are a powerful tool for the study of quantum many body physics, thanks to both their built-in ability of…
Chiral projected entangled-pair state with topological order
Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu +2
We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases. For that, we construct a simple PEPS for spin-1/2 particles in a two-dimension…
Symmetries and boundary theories for chiral Projected Entangled Pair States
Thorsten B. Wahl, Stefan T. Haßler, Hong-Hao Tu +2
We investigate the topological character of lattice chiral Gaussian fermionic states in two dimensions possessing the simplest descriptions in terms of projected entangled-pair sta…
Projected entangled-pair states can describe chiral topological states
T. B. Wahl, H. -H. Tu, N. Schuch +1
We show that Projected Entangled-Pair States (PEPS) in two spatial dimensions can describe chiral topological states by explicitly constructing a family of such states with a non-t…
Matrix Product States with long-range Localizable Entanglement
Thorsten B. Wahl, David Perez-Garcia, J. Ignacio Cirac
We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the th…