Strange Correlation Function for Average Symmetry-Protected Topological Phases

• URL: http://arxiv.org/abs/2210.17485v2
• Date: Tue, 9 Apr 2024 17:36:34 GMT
• Title: Strange Correlation Function for Average Symmetry-Protected Topological Phases
• Authors: Jian-Hao Zhang, Yang Qi, Zhen Bi,
• Abstract summary: Average symmetry-protected topological (ASPT) phase is a generalization of symmetry-protected topological phases to disordered systems or open quantum systems. We devise a "strange correlator" in one and two dimensions to detect nontrivial ASPT states.
• Score: 5.958323632083269
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Average symmetry-protected topological (ASPT) phase is a generalization of symmetry-protected topological phases to disordered systems or open quantum systems. We devise a "strange correlator" in one and two dimensions to detect nontrivial ASPT states. We demonstrate that for a nontrivial ASPT phase this strange correlator exhibits long-range or power-law behavior. We explore the connection between the strange correlators and correlation functions in two-dimensional loop models with quantum corrections, leading to the exact scaling exponents of the strange correlators.

Related papers

• Topological p-wave Superconductors with Disorder and Interactions [0.0]
  We show for the first time that the double critical Ising (DCI) phase is stabilized by strong interactions against disorder. In the presence of an inter-wire hopping term, the DCI phase turns into a protected topological phase with a bulk gap.
  arXiv  Detail & Related papers  (2024-08-04T18:09:35Z)
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models [0.0]
  We consider two fundamental non-Hermitian Jaynes-Cummings models which possess real energy spectra in parity-time symmetry and anti-PT symmetry. We show that the quantum Fisher information is critical around the transitions at the exceptional points.
  arXiv  Detail & Related papers  (2024-05-20T14:51:55Z)
• Order-invariant two-photon quantum correlations in PT-symmetric interferometers [62.997667081978825]
  Multiphoton correlations in linear photonic quantum networks are governed by matrix permanents. We show that the overall multiphoton behavior of a network from its individual building blocks typically defies intuition. Our results underline new ways in which quantum correlations may be preserved in counterintuitive ways even in small-scale non-Hermitian networks.
  arXiv  Detail & Related papers  (2023-02-23T09:43:49Z)
• Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators [9.02860315442848]
  We use strange correlators to detect 2D subsystem symmetry-protected topological phases protected by subsystem symmetries. We provide the first unbiased large-scale quantum Monte Carlo simulation on the easy and efficient detection in the SSPT phase.
  arXiv  Detail & Related papers  (2022-09-26T18:00:24Z)
• Strange correlators for topological quantum systems from bulk-boundary correspondence [0.0]
  "Strange" correlators provide a tool to detect topological phases arising in many-body models. We analyze the sums of the strange correlators, pointing out that integrating their moduli substantially reduces cancellations. Our results extend the validity of the strange correlators approach for the diagnosis of topological phases of matter.
  arXiv  Detail & Related papers  (2022-09-09T13:14:09Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• On the Kullback-Leibler divergence between pairwise isotropic Gaussian-Markov random fields [93.35534658875731]
  We derive expressions for the Kullback-Leibler divergence between two pairwise isotropic Gaussian-Markov random fields. The proposed equation allows the development of novel similarity measures in image processing and machine learning applications.
  arXiv  Detail & Related papers  (2022-03-24T16:37:24Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders [0.0]
  Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. Here, we realise such a topological Haldane phase with Fermi-Hubbard ladders in an ultracold-atom quantum simulator.
  arXiv  Detail & Related papers  (2021-03-18T17:55:56Z)
• Out-of-time-order correlations and the fine structure of eigenstate thermalisation [58.720142291102135]
  Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation. We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH) We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
  arXiv  Detail & Related papers  (2021-03-01T17:51:46Z)

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.