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pro vyhledávání: '"Wahl, Thorsten B."'
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. Specifically, we simulate optical lattice experiments with two components of
Externí odkaz:
http://arxiv.org/abs/2410.14652
Autor:
Wahl, Thorsten B., Jankowski, Wojciech J., Bouhon, Adrien, Chaudhary, Gaurav, Slager, Robert-Jan
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, these systems have optimal conditions relating to saturation of quantum
Externí odkaz:
http://arxiv.org/abs/2407.12902
Publikováno v:
Phys. Rev. B 110, 165150 (2024)
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 most intriguing case of two-dimensional (2D) systems with anyons and to
Externí odkaz:
http://arxiv.org/abs/2212.09775
Autor:
Wahl, Thorsten B., Strelchuk, Sergii
Publikováno v:
Phys. Rev. Lett. 131, 180601 (2023)
We derive a rigorous upper bound on the classical computation time of finite-ranged tensor network contractions in $d \geq 2$ dimensions. Consequently, we show that quantum circuits of single-qubit and finite-ranged two-qubit gates can be classically
Externí odkaz:
http://arxiv.org/abs/2208.01498
Publikováno v:
Phys. Rev. B 105, 144205 (2022)
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 local integrals of motion, variationally parametrized by quantum circui
Externí odkaz:
http://arxiv.org/abs/2111.11543
Publikováno v:
Phys. Rev. B 109, L140202 (2024)
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 debate. The latest experiments as well as several recent numerical studi
Externí odkaz:
http://arxiv.org/abs/2108.08268
Publikováno v:
Nat. Commun. 15, 9845 (2024)
We define topological time crystals, a dynamical phase of periodically driven quantum many-body systems capturing the coexistence of intrinsic topological order with the spontaneous breaking of discrete time-translation symmetry. We show that many-bo
Externí odkaz:
http://arxiv.org/abs/2105.09694
Autor:
Wahl, Thorsten B., Béri, Benjamin
Publikováno v:
Phys. Rev. Research 2, 033099 (2020)
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 set of on-site spin-z operators. We show that this assumption cannot hol
Externí odkaz:
http://arxiv.org/abs/2001.03167
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Publikováno v:
Phys. Rev. B 102, 014205 (2020)
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-site symmetries we show that the (generalized) third cohomology class
Externí odkaz:
http://arxiv.org/abs/1908.03928