Higher-Form Subsystem Symmetry Breaking: Subdimensional Criticality and Fracton Phase Transitions

• URL: http://arxiv.org/abs/2112.12735v2
• Date: Thu, 25 May 2023 04:13:40 GMT
• Title: Higher-Form Subsystem Symmetry Breaking: Subdimensional Criticality and Fracton Phase Transitions
• Authors: Brandon C. Rayhaun and Dominic J. Williamson
• Abstract summary: Subsystem symmetry has emerged as a powerful organizing principle for unconventional quantum phases of matter. We show that certain transitions out of familiar fracton phases, including the X-cube model, can be understood in terms of the spontaneous breaking of subsystem symmetries.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Subsystem symmetry has emerged as a powerful organizing principle for unconventional quantum phases of matter, most prominently fracton topological orders. Here, we focus on a special subclass of such symmetries, known as higher-form subsystem symmetries, which allow us to adapt tools from the study of conventional topological phases to the fracton setting. We demonstrate that certain transitions out of familiar fracton phases, including the X-cube model, can be understood in terms of the spontaneous breaking of higher-form subsystem symmetries. We find simple pictures for these seemingly complicated fracton topological phase transitions by relating them in an exact manner, via gauging, to spontaneous higher-form subsystem symmetry breaking phase transitions of decoupled stacks of lower-dimensional models. We harness this perspective to construct a sequence of unconventional subdimensional critical points in two and three spatial dimensions based on the stacking and gauging of canonical models with higher-form symmetry. Through numerous examples, we illustrate the ubiquity of coupled layer constructions in theories with higher-form subsystem symmetries.

Related papers

• Subsystem Symmetry Fractionalization and Foliated Field Theory [0.0]
  Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. A recently discovered example is a type of subsystem symmetry fractionalization that occurs through a different mechanism to global symmetry fractionalization.
  arXiv  Detail & Related papers  (2024-03-14T04:44:11Z)
• Geometric Phase of a Transmon in a Dissipative Quantum Circuit [44.99833362998488]
  We study the geometric phases acquired by a paradigmatic setup: a transmon coupled to a superconductor resonating cavity. In the dissipative model, the non-unitary effects arise from dephasing, relaxation, and decay of the transmon coupled to its environment. Our approach enables a comparison of the geometric phases obtained in these models, leading to a thorough understanding of the corrections introduced by the presence of the environment.
  arXiv  Detail & Related papers  (2024-01-22T16:41:00Z)
• Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models [4.467896011825295]
  We investigate the ground-state properties and phase transitions of two self-dual fracton spin models. We show that both models experience a strong first-order phase transition with an anomalous $L-(D-1)$ scaling. Our work provides new understanding of sub-dimensional symmetry breaking and makes an important step for studying quantum-error-correction properties of the checkerboard and Haah's codes.
  arXiv  Detail & Related papers  (2023-11-18T13:12:14Z)
• Identifying the Group-Theoretic Structure of Machine-Learned Symmetries [41.56233403862961]
  We propose methods for examining and identifying the group-theoretic structure of such machine-learned symmetries. As an application to particle physics, we demonstrate the identification of the residual symmetries after the spontaneous breaking of non-Abelian gauge symmetries.
  arXiv  Detail & Related papers  (2023-09-14T17:03:50Z)
• Fractonic Higher-Order Topological Phases in Open Quantum Systems [12.454257885851737]
  We study the generalization of decohered average symmetry-protected topological phases to open quantum systems with a combination of subsystem symmetries and global symmetries.
  arXiv  Detail & Related papers  (2023-07-11T17:58:35Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• 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)
• Boundary theories of critical matchgate tensor networks [59.433172590351234]
  Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices. For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states. We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
  arXiv  Detail & Related papers  (2021-10-06T18:00:03Z)
• Fracton phases via exotic higher-form symmetry-breaking [0.0]
  We study p-string condensation mechanisms for fracton phases from the viewpoint of higher-form symmetry. We focus on the examples of the X-cube model and the rank-two symmetric-tensor U(1) scalar charge theory.
  arXiv  Detail & Related papers  (2020-10-05T18:08:10Z)
• Subsystem symmetry enriched topological order in three dimensions [0.0]
  We introduce a model of three-dimensional (3D) topological order enriched by planar subsystem symmetries. We study the non-trivial action of the symmetries on boundary of this model, uncovering a mixed boundary anomaly between global and subsystem symmetries.
  arXiv  Detail & Related papers  (2020-04-08T18:01:06Z)
• Tensor network models of AdS/qCFT [69.6561021616688]
  We introduce the notion of a quasiperiodic conformal field theory (qCFT) We show that qCFT can be best understood as belonging to a paradigm of discrete holography.
  arXiv  Detail & Related papers  (2020-04-08T18:00:05Z)

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.