Unsupervised Learning of Symmetry Protected Topological Phase Transitions

• URL: http://arxiv.org/abs/2111.08747v1
• Date: Tue, 16 Nov 2021 19:34:16 GMT
• Title: Unsupervised Learning of Symmetry Protected Topological Phase Transitions
• Authors: En-Jui Kuo, Hossein Dehghani
• Abstract summary: In particular, we show that the phase transitions associated with these phases can be detected in different bosonic and fermionic models in one dimension. Our approach serves as an inexpensive computational method for detecting topological phases transitions associated with SPT systems.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: Symmetry-protected topological (SPT) phases are short-range entangled phases of matter with a non-local order parameter which are preserved under a local symmetry group. Here, by using unsupervised learning algorithm, namely the diffusion maps, we demonstrate that can differentiate between symmetry broken phases and topologically ordered phases, and between non-trivial topological phases in different classes. In particular, we show that the phase transitions associated with these phases can be detected in different bosonic and fermionic models in one dimension. This includes the interacting SSH model, the AKLT model and its variants, and weakly interacting fermionic models. Our approach serves as an inexpensive computational method for detecting topological phases transitions associated with SPT systems which can be also applied to experimental data obtained from quantum simulators.

Related papers

• Multipole and fracton topological order via gauging foliated SPT phases [0.0]
  In accordance with the progress of multipole symmetries, there have been proposed topological phases with such symmetries. These topological phases are unconventional as excitations are subject to mobility constraints corresponding to the multipole symmetries. We demonstrate a way to construct such phases by preparing layers of symmetry protected topological phases and implementing gauging a global symmetry.
  arXiv  Detail & Related papers  (2024-01-19T13:19:40Z)
• Quantum phase transition between symmetry enriched topological phases in tensor-network states [6.014569675344553]
  Quantum phase transitions between different topologically ordered phases exhibit rich structures and are generically challenging to study in microscopic lattice models. We propose a tensor-network solvable model that allows us to tune between different symmetry enriched topological (SET) phases.
  arXiv  Detail & Related papers  (2023-05-03T21:21:36Z)
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions [10.799933392186222]
  We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC) The distinguishable OTOC dynamics appears in the topological trivial and non-trivial phases due to the topological locality. Our work fundamentally brings the OTOC in the realm of TPTs, and offers the prospect of exploring new topological physics with quantum correlations.
  arXiv  Detail & Related papers  (2023-02-02T07:57:22Z)
• 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)
• Counting Phases and Faces Using Bayesian Thermodynamic Integration [77.34726150561087]
  We introduce a new approach to reconstruction of the thermodynamic functions and phase boundaries in two-parametric statistical mechanics systems. We use the proposed approach to accurately reconstruct the partition functions and phase diagrams of the Ising model and the exactly solvable non-equilibrium TASEP.
  arXiv  Detail & Related papers  (2022-05-18T17:11:23Z)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• 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)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)
• Unsupervised machine learning of topological phase transitions from experimental data [52.77024349608834]
  We apply unsupervised machine learning techniques to experimental data from ultracold atoms. We obtain the topological phase diagram of the Haldane model in a completely unbiased fashion. Our work provides a benchmark for unsupervised detection of new exotic phases in complex many-body systems.
  arXiv  Detail & Related papers  (2021-01-14T16:38:21Z)
• Symmetry-protected topological phase transitions and robust chiral order on a tunable zigzag lattice [8.870994254107801]
  We show that the setup in a zigzag optical lattice provides a perfect platform to realize symmetry-protected topological phase transitions. By using infinite time-evolving block decimation, we obtain the phase diagram in a large parameter regions. We find another scheme to realize the long-sought vector chiral phase, which is robust from quantum fluctuations.
  arXiv  Detail & Related papers  (2020-11-12T18:20:24Z)
• Unsupervised machine learning of quantum phase transitions using diffusion maps [77.34726150561087]
  We show that the diffusion map method, which performs nonlinear dimensionality reduction and spectral clustering of the measurement data, has significant potential for learning complex phase transitions unsupervised. This method works for measurements of local observables in a single basis and is thus readily applicable to many experimental quantum simulators.
  arXiv  Detail & Related papers  (2020-03-16T18:40:13Z)

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.