Extracting central charge from ground-state overlaps of spatially deformed Hamiltonians

• URL: http://arxiv.org/abs/2606.00214v1
• Date: Fri, 29 May 2026 18:00:02 GMT
• Title: Extracting central charge from ground-state overlaps of spatially deformed Hamiltonians
• Abstract summary: We show that the conformal anomaly of a $(1+1)$-dimensional conformal field theory can be extracted directly from a ground-state wave-function overlap.<n>Motivated by this result, we construct a lattice estimator based solely on ground-state overlaps.<n> Numerical results demonstrate that the resulting overlaps provide a simple and robust probe of the central charge in microscopic models.
• Score: 9.71677905891384
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show that the conformal anomaly of a $(1+1)$-dimensional conformal field theory can be extracted directly from a ground-state wave-function overlap associated with a spatial conformal deformation. Focusing on the $q$-Möbius deformation, we derive an exact overlap formula between the deformed and undeformed ground states, whose exponent depends only on the central charge. Motivated by this result, we construct a lattice estimator based solely on ground-state overlaps and apply it to representative critical quantum chains and the gapless edge modes of a two-dimensional Chern insulator. Numerical results demonstrate that the resulting overlaps provide a simple and robust probe of the central charge in microscopic models. We further demonstrate that the deformed ground states retain universal geometric structures in their entanglement spectra and entanglement entropies. These results provide a simple wave-function-based route to probing conformal data in critical systems and topological edge modes.

Related papers

• The Inductive Bias of Convolutional Neural Networks: Locality and Weight Sharing Reshape Implicit Regularization [57.37943479039033]
  We study how architectural inductive bias reshapes the implicit regularization induced by the edge-of-stability phenomenon in gradient descent.<n>We show that locality and weight sharing fundamentally change this picture.
  arXiv  Detail & Related papers  (2026-03-05T04:50:51Z)
• Probing chiral topological states with permutation defects [0.0]
  We introduce a family of multipartite entanglement measures that probe chirality directly from the bulk wavefunction.<n>We numerically verify our results with both free-fermion and strongly-interacting chiral topological states.
  arXiv  Detail & Related papers  (2025-12-04T10:22:45Z)
• Controlling Excitation Localization in Waveguide QED Systems [0.4999814847776098]
  We study localization and long-time population trapping in quantum emitters coupled to a waveguide.<n>We find two distinct mechanisms that give rise to localization: geometry-induced subradiance and disorder-induced Anderson-like confinement.<n>These results establish geometry and disorder as complementary tools for engineering long-lived quantum states in waveguide QED systems.
  arXiv  Detail & Related papers  (2025-05-27T08:24:51Z)
• From Chern to Winding: Topological Invariant Correspondence in the Reduced Haldane Model [0.4249842620609682]
  We present an exact analytical investigation of the topological properties and edge states of the Haldane model defined on a honeycomb lattice with zigzag edges.<n>We show that the $nu$ exactly reproduces the Chern number of the parent model in the topologically nontrivial phase.<n>Our analysis further reveals the critical momentum $ k_c $ where edge states traverse the bulk energy gap.
  arXiv  Detail & Related papers  (2025-05-26T19:11:43Z)
• Topological phases in two-dimensional Rydberg lattices [0.0]
  We propose a simple and experimentally realizable two-dimensional lattice model consisting of two offset square sublattices of Rydberg atoms.<n>This model reveals a plethora of topological phases, all connected through the variation of the lattice geometry.
  arXiv  Detail & Related papers  (2025-02-21T14:51:59Z)
• Anomaly inflow for dipole symmetry and higher form foliated field theories [0.0]
  We introduce a series of $(d+1)$-dimensional BF theories with $p$-form gauge fields. We show that gauge invariant loops have unusual form, containing linear function of the spatial coordinate. We also show that the theories exhibit a mixed 't Hooft anomaly between $p$-form and $(d-p)$-form dipole symmetries.
  arXiv  Detail & Related papers  (2024-06-07T13:22:40Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Shape And Structure Preserving Differential Privacy [70.08490462870144]
  We show how the gradient of the squared distance function offers better control over sensitivity than the Laplace mechanism. We also show how using the gradient of the squared distance function offers better control over sensitivity than the Laplace mechanism.
  arXiv  Detail & Related papers  (2022-09-21T18:14:38Z)
• Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
  A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM) We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
  arXiv  Detail & Related papers  (2022-02-23T19:00:06Z)
• 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)

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.