Information Scrambling with Higher-Form Fields

• URL: http://arxiv.org/abs/2410.04625v3
• Date: Mon, 13 Jan 2025 13:06:19 GMT
• Title: Information Scrambling with Higher-Form Fields
• Abstract summary: OTOC involving the $U(1)$ conserved current for a gauge field varies diffusively at late times.<n>We observe that the late time OTOCs have power law tails which seems to be a universal feature of the higher-form fields with $U(1)$ charge conservation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The late time behaviour of OTOCs involving generic non-conserved local operators show exponential decay in chaotic many body systems. However, it has been recently observed that for certain holographic theories, the OTOC involving the $U(1)$ conserved current for a gauge field instead varies diffusively at late times. The present work generalizes this observation to conserved currents corresponding to higher-form symmetries that belong to a wider class of symmetries known as generalized symmetries. We started by computing the late time behaviour of OTOCs involving $U(1)$ current operators in five dimensional AdS-Schwarzschild black hole geometry for the 2-form antisymmetric $B$-fields. The bulk solution for the $B$-field exhibits logarithmic divergences near the asymptotic AdS boundary which can be regularized by introducing a double trace deformation in the boundary CFT. Finally, we consider the more general case with antisymmetric $p$-form fields in arbitrary dimensions. In the scattering approach, the boundary OTOC can be written as an inner product between asymptotic 'in' and 'out' states which in our case is equivalent to computing the inner product between two bulk fields with and without a shockwave background. We observe that the late time OTOCs have power law tails which seems to be a universal feature of the higher-form fields with $U(1)$ charge conservation.

Related papers

• Discrete power-law decay of subsystem distance after a quantum quench [1.2326452468513227]
  We present a numerical study of subsystem distance decay following a global quantum quench in the infinite one-dimensional transverse-field Ising chain.<n>We show that the late-time decay follows a discrete power law $B_A(t) sim t-$, with the exponent $$ confined to discrete values.<n>Our results reveal a universal discrete structure governing local equilibration dynamics in integrable quantum systems.
  arXiv  Detail & Related papers  (2026-07-28T12:47:28Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Holographically Emergent Gauge Theory in Symmetric Quantum Circuits [0.0]
  We develop a novel holographic framework for mixed-state phases in random quantum circuits, both unitary and non-unitary.<n>For unitarity circuits, the bulk gauge state is deconfined, but under a generic non-unitary circuit (e.g. channels)<n>We identify that the charge sharpening transition from the measurement side is complementary to a decodability transition in the bulk.
  arXiv  Detail & Related papers  (2025-11-26T18:58:11Z)
• Entanglement Sum Rule from Higher-Form Symmetries [0.0]
  We prove an entanglement sum rule for $(d-1)$-dimensional quantum lattice models with finite abelian higher-form symmetries.<n>The framework explains and generalizes known examples in fermion-$mathbbZ$ gauge theory.
  arXiv  Detail & Related papers  (2025-10-20T09:03:12Z)
• Field digitization scaling in a $\mathbb{Z}_N \subset U(1)$ symmetric model [0.0]
  We propose to analyze field digitization by interpreting the parameter $N$ as a coupling in the renormalization group sense.<n>Using effective field theory, we derive generalized scaling hypotheses involving the FD parameter $N$.<n>We analytically prove that our calculations for the 2D classical-statistical $mathbbZ_N$ clock model are directly related to the quantum physics in the ground state of a (2+1)D $mathbbZ_N$ lattice gauge theory.
  arXiv  Detail & Related papers  (2025-07-30T18:00:02Z)
• Meson spectroscopy of exotic symmetries of Ising criticality in Rydberg atom arrays [39.58317527488534]
  Coupling two Ising chains in a ladder leads to an even richer $mathcalD(1)_8$ symmetries.<n>Here, we probe these emergent symmetries in a Rydberg atom processing unit, leveraging its geometry to realize both chain and ladder configurations.
  arXiv  Detail & Related papers  (2025-06-26T14:19:30Z)
• Phases and propagation of closed p-brane [0.0]
  We study phases and propagation of closed $p$-brane within the framework of effective field theory with higher-form global symmetries. We find the (functional) plane-wave solutions for the kinetic terms and derive a path-integral representation of the brane propagator. Although these results are quite intriguing, we also point out that the Born-Oppenheimer approximation is invalid in the point-particle limit.
  arXiv  Detail & Related papers  (2025-03-19T05:04:07Z)
• Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
  The interplay between symmetry and topological properties plays a very important role in modern physics. How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
  arXiv  Detail & Related papers  (2024-10-24T19:52:27Z)
• A Non-Invertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra [0.0]
  We derive a refined version of the Affleck-Ludwig-Cardy formula for a 1+1d conformal field theory. We use this to determine the universal leading and sub-leading contributions to the non-invertible symmetry-resolved entanglement entropy of a single interval.
  arXiv  Detail & Related papers  (2024-09-04T15:25:05Z)
• Remarks on effects of projective phase on eigenstate thermalization hypothesis [0.0]
  We consider $mathbbZ_NtimesmathbbZ_N$ symmetries with nontrivial projective phases. We also perform numerical analyses for $ (1+1)$-dimensional spin chains and the $ (2+1)$-dimensional lattice gauge theory.
  arXiv  Detail & Related papers  (2023-10-17T17:36:37Z)
• Entanglement asymmetry in the ordered phase of many-body systems: the Ising Field Theory [0.0]
  Global symmetries of quantum many-body systems can be spontaneously broken. In this study, we examine the entanglement asymmetry of a specific region. We also establish a field theoretic framework in the replica theory using twist operators.
  arXiv  Detail & Related papers  (2023-07-22T17:07:56Z)
• Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
  A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance. The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
  arXiv  Detail & Related papers  (2023-05-22T11:00:25Z)
• On the $\mathcal{P}\mathcal{T}$-symmetric parametric amplifier [0.0]
  General time-dependent PT-symmetric parametric oscillators for unbroken parity and time reversal regimes are studied theoretically. We have demostrated the time variation of the Wigner distribution for the system consisting of two spatially separated ground state of the TD-parametric amplifier.
  arXiv  Detail & Related papers  (2023-05-20T19:45:22Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• Two-Point Functions of Composite Twist Fields in the Ising Field Theory [0.0]
  We give an exact expression for the two-point function of a composite twist field that arises in the Ising field theory. We study the ground state two-point function of the composite twist field $mathcalT_mu$ and its conjugate $mathcalT_mudagger$.
  arXiv  Detail & Related papers  (2023-01-04T18:25:08Z)
• Simulating scalar field theories on quantum computers with limited resources [62.997667081978825]
  We present a quantum algorithm for implementing $phi4$ lattice scalar field theory on qubit computers. The algorithm allows efficient $phi4$ state preparation for a large range of input parameters in both the normal and broken symmetry phases.
  arXiv  Detail & Related papers  (2022-10-14T17:28:15Z)
• A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
  We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
  arXiv  Detail & Related papers  (2022-06-17T12:14:33Z)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
  A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
  arXiv  Detail & Related papers  (2021-11-24T15:50:22Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.