Many-body-localization protection of eigenstate topological order in two dimensions

• URL: http://arxiv.org/abs/2212.09775v2
• Date: Fri, 13 Sep 2024 12:38:47 GMT
• Title: Many-body-localization protection of eigenstate topological order in two dimensions
• Authors: Florian Venn, Thorsten B. Wahl, Benjamin Béri,
• Abstract summary: Many-body localization (MBL) has been proposed to enable and protect topological order in all eigenstates. We show that the system has topological local integrals of motion for magnetic field strengths below $h_capprox0.1$ times the toric code coupling scale. We identify high-energy topological multiplets in the dense many-body spectrum.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 topology-dependent degeneracies, the dense many-body spectrum challenges studying this MBL protection numerically. Here we use large-scale full-spectrum variational ans\"atze to demonstrate MBL-protected topological order in the disordered 2D toric code perturbed by magnetic fields. We show that the system has topological local integrals of motion (tLIOMs) for magnetic field strengths below $h_c\approx0.1$ times the toric code coupling scale. Combining tLIOMs with exact diagonalization, we also identify high-energy topological multiplets in the dense many-body spectrum. The phase diagram we find is consistent with toric-code and trivial MBL phases being separated by an intervening thermal phase.

Related papers

• Topological multi-mode waveguide QED [49.1574468325115]
  We show how to take advantage of topologically protected propagating modes by interfacing them with quantum emitters. Such capabilities pave the way for generating quantum gates among topologically protected photons as well as generating more complex entangled states of light in topological channels.
  arXiv  Detail & Related papers  (2022-07-05T14:48:50Z)
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
  Inherent symmetry of a quantum system may protect its otherwise fragile states. We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry. MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
  arXiv  Detail & Related papers  (2022-04-24T22:34:15Z)
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors [0.0]
  We show the end-to-end, long-distance, bipartite squashed entanglement between the edges of a many-body system. For the Kitaev chain in the entire topological phase, the edge squashed entanglement is quantized to log(2)/2, half the maximal Bell-state entanglement, and vanishes in the trivial phase. Such topological squashed entanglement exhibits the correct scaling at the quantum phase transition, is stable in the presence of interactions, and is robust against disorder and local perturbations.
  arXiv  Detail & Related papers  (2022-01-28T10:57:51Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
  A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
  arXiv  Detail & Related papers  (2021-11-24T15:50:22Z)
• Local integrals of motion detection of localization-protected topological order [0.0]
  We show how topologically distinct local integrals of motion, variationally parametrized by quantum circuits, can be used to numerically demonstrate the topological inequivalence of MBL phases. We also use our approach, augmented by the DMRG-X algorithm, to extract high-energy topological doublets.
  arXiv  Detail & Related papers  (2021-11-22T21:24:39Z)
• Multipartite entanglement of the topologically ordered state in a perturbed toric code [18.589873789289562]
  We demonstrate that multipartite entanglement, witnessed by the quantum Fisher information (QFI), can characterize topological quantum phase transitions in the spin-$frac12$ toric code model. Our results provide insights to topological phases, which are robust against external disturbances, and are candidates for topologically protected quantum computation.
  arXiv  Detail & Related papers  (2021-09-07T20:20:21Z)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)
• Fermionic state discrimination by local operations and classical communication [68.8204255655161]
  Local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems is studied. We show that, contrary to the case of quantum systems, for fermionic systems it is generally not possible to achieve the ideal state discrimination performances.
  arXiv  Detail & Related papers  (2020-02-24T12:25:36Z)
• Topological quantum optical states in quasiperiodic cold atomic chains [0.0]
  Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the Aubry-Andr'e-Harper model can be mimicked. It is found that the present system indeed supports nontrivial topological states localized over the boundaries.
  arXiv  Detail & Related papers  (2020-01-15T03:53:54Z)
• Local Integrals of Motion for Topologically Ordered Many-Body Localized Systems [0.0]
  Many-body localized (MBL) systems are often described using their local integrals of motion. We show that this assumption cannot hold for topologically ordered MBL systems.
  arXiv  Detail & Related papers  (2020-01-09T18:55:15Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.