Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup

• URL: http://arxiv.org/abs/2401.11702v2
• Date: Wed, 5 Jun 2024 15:34:07 GMT
• Title: Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Authors: Lei Su, Meng Zeng,
• Abstract summary: Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study an emergent $mathbbZ$-gauged system with global $U(1)$. We also discuss the stability of these phases and the critical points to small perturbations and their potential experimental realizations.
• Score: 0.6675805308519986
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study, as a concrete example, an emergent $\mathbb{Z}_2$-gauged system with global symmetry $U(1)$, namely, the $\mathbb{Z}_2$-gauged Bose-Hubbard model both in 1-D and in 2-D. In certain limits, there is an emergent mixed 't Hooft anomaly between the quotient $\tilde{U}(1)$ symmetry and the dual $\hat{\mathbb{Z}}_2$ symmetry. In 1-D, the superfluid phase is mapped to an intrinsically gapless symmetry-protected topological (SPT) phase, as supported by density-matrix renormalization group (DMRG) calculations. In 2-D, the original superfluid-insulator transition becomes a generalized deconfined quantum critical point (DQCP) between a gapless SPT phase, where a SPT order coexists with Goldstone modes, and a $\tilde{U}(1)$-symmetry-enriched topological (SET) phase. We also discuss the stability of these phases and the critical points to small perturbations and their potential experimental realizations. Our work demonstrates that partial gauging is a simple and yet powerful approach in constructing novel phases and quantum criticalities.

Related papers

• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model [0.26107298043931204]
  We study the nontrivial renormalization-group scenario of fixed-point annihilation in spin-boson models. We find a tunable transition between two localized phases that can be continuous or strongly first-order. We also find scaling behavior at the symmetry-enhanced first-order transition, for which the inverse correlation-length exponent is given by the bath exponent.
  arXiv  Detail & Related papers  (2024-03-04T19:00:07Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Higher-group symmetry in finite gauge theory and stabilizer codes [3.8769921482808116]
  A large class of gapped phases of matter can be described by topological finite group gauge theories. We derive the $d$-group global symmetry and its 't Hooft anomaly for topological finite group gauge theories in $(d+1) space-time dimensions. We discuss several applications, including the classification of fermionic SPT phases in (3+1)D for general fermionic symmetry groups.
  arXiv  Detail & Related papers  (2022-11-21T19:00:00Z)
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains [0.0]
  This work highlights the rich unexplored physics of criticality between nontrivial topological phases. It provides insights into the burgeoning field of gapless topological phases.
  arXiv  Detail & Related papers  (2022-08-25T17:59:26Z)
• Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains [15.795926248847026]
  We argue that a model with self-duality (i.e., invariant under $U_textKT$) is natural to be at a critical or multicritical point. In particular, when $H$ is the Hamiltonian of the spin-1 antiferromagnetic Heisenberg chain, we prove that the self-dual model $H + U_textKT$ is exactly equivalent to a gapless spin-$1/2$ XY chain.
  arXiv  Detail & Related papers  (2022-03-29T17:50:16Z)
• Electric-magnetic duality and $\mathbb{Z}_2$ symmetry enriched Abelian lattice gauge theory [2.206623168926072]
  Kitaev's quantum double model is a lattice gauge theoretic realization of Dijkgraaf-Witten topological quantum field theory (TQFT) Topologically protected ground state space has broad applications for topological quantum computation and topological quantum memory.
  arXiv  Detail & Related papers  (2022-01-28T14:13:38Z)
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices [14.450949607717437]
  We experimentally realize an extended Su-Schrieffer-Heeger model with broken chiral symmetry. Our results demonstrate that inversion symmetry protects the quantized Zak phase, but edge states can disappear in the topological nontrivial phase. Our photonic lattice provides a useful platform to study the interplay among topological phases, symmetries, and the bulk-boundary correspondence.
  arXiv  Detail & Related papers  (2021-09-28T13:35:44Z)
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
  Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
  arXiv  Detail & Related papers  (2021-07-27T07:11:32Z)
• SYK meets non-Hermiticity II: measurement-induced phase transition [16.533265279392772]
  We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space. We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.
  arXiv  Detail & Related papers  (2021-04-16T17:55:08Z)
• Intrinsically Gapless Topological Phases [0.0]
  Topology in quantum matter is typically associated with gapped phases. Intrinsically gapless SPT phases have no gapped counterpart. On-site symmetries act in an anomalous fashion at low energies.
  arXiv  Detail & Related papers  (2020-08-15T03:37:05Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.