Fast Scrambling at the Boundary

• URL: http://arxiv.org/abs/2407.13617v1
• Date: Thu, 18 Jul 2024 15:55:44 GMT
• Title: Fast Scrambling at the Boundary
• Authors: Ancel Larzul, Anirvan M. Sengupta, Antoine Georges, Marco Schirò,
• Abstract summary: Many-body systems which saturate the quantum bound on chaos are attracting interest across a wide range of fields. We study many-body quantum chaos in a quantum impurity model showing Non-Fermi-Liquid physics. Our results highlights two new features: a non-disordered model which is maximally chaotic due to strong correlations at its boundary and a fractionalization of quantum chaos.
• Score: 3.4284444670464675
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Many-body systems which saturate the quantum bound on chaos are attracting interest across a wide range of fields. Notable examples include the Sachdev-Ye-Kitaev model and its variations, all characterised by some form or randomness and all to all couplings. Here we study many-body quantum chaos in a quantum impurity model showing Non-Fermi-Liquid physics, the overscreened multichannel $SU(N)$ Kondo model. We compute exactly the low-temperature behavior of the out-of time order correlator in the limit of large $N$ and large number of channels $K$, at fixed ratio $\gamma=K/N$. Due to strong correlations at the impurity site the spin fractionalizes in auxiliary fermions and bosons. We show that all the degrees of freedom of our theory acquire a Lyapunov exponent which is linear in temperature as $T\rightarrow 0$, with a prefactor that depends on $\gamma$. Remarkably, for $N=K$ the impurity spin displays maximal chaos, while bosons and fermions only get up to half of the maximal Lyapunov exponent. Our results highlights two new features: a non-disordered model which is maximally chaotic due to strong correlations at its boundary and a fractionalization of quantum chaos.

Related papers

• Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation [42.408991654684876]
  We consider the preparation of all the eigenstates of spin chains using quantum circuits. We showivities of the growth is also achievable for interacting models where the interaction between the particles is sufficiently simple.
  arXiv  Detail & Related papers  (2024-11-22T18:57:08Z)
• Slow Mixing of Quantum Gibbs Samplers [47.373245682678515]
  We present a quantum generalization of these tools through a generic bottleneck lemma. This lemma focuses on quantum measures of distance, analogous to the classical Hamming distance but rooted in uniquely quantum principles. We show how to lift classical slow mixing results in the presence of a transverse field using Poisson Feynman-Kac techniques.
  arXiv  Detail & Related papers  (2024-11-06T22:51:27Z)
• Quantum Chaos, Randomness and Universal Scaling of Entanglement in Various Krylov Spaces [0.0]
  We derive an analytical expression for the time-averaged quantum Fisher information (QFI) that applies to all quantum chaotic systems governed by Dyson's ensembles. Our approach integrates concepts of randomness, multipartite entanglement and quantum chaos.
  arXiv  Detail & Related papers  (2024-07-16T15:11:20Z)
• Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
  We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
  arXiv  Detail & Related papers  (2024-06-26T18:27:15Z)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory [0.0]
  We show a new problem in nonlinear dispersive PDE with implications for quantum many-body chaos. Our finding spotlights a new problem in nonlinear dispersive PDE with implications for quantum many-body chaos.
  arXiv  Detail & Related papers  (2023-12-04T09:01:35Z)
• Weak universality, quantum many-body scars and anomalous infinite-temperature autocorrelations in a one-dimensional spin model with duality [0.0]
  We study a one-dimensional spin-$1/2$ model with three-spin interactions and a transverse magnetic field $h$. We compute the critical exponents $z$, $beta$, $gamma$ and $nu$, and the central charge $c$. For a system with periodic boundary conditions, there are an exponentially large number of exact mid-spectrum zero-energy eigenstates.
  arXiv  Detail & Related papers  (2023-07-20T18:00:05Z)
• Krylov complexity in quantum field theory, and beyond [44.99833362998488]
  We study Krylov complexity in various models of quantum field theory. We find that the exponential growth of Krylov complexity satisfies the conjectural inequality, which generalizes the Maldacena-Shenker-Stanford bound on chaos.
  arXiv  Detail & Related papers  (2022-12-29T19:00:00Z)
• Annihilating Entanglement Between Cones [77.34726150561087]
  We show that Lorentz cones are the only cones with a symmetric base for which a certain stronger version of the resilience property is satisfied. Our proof exploits the symmetries of the Lorentz cones and applies two constructions resembling protocols for entanglement distillation.
  arXiv  Detail & Related papers  (2021-10-22T15:02:39Z)
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d [0.0]
  We study a chiral Sachdev-Ye (SY) model consisting of $N$ chiral SU$(M)_1$ Wess-Zumino-Witten (WZW) models with current-current interactions among each other. Each WZW model hosts Abelian anyons as charge excitations, and may arise as the chiral edge theory of 2+1d gapped topological phases.
  arXiv  Detail & Related papers  (2021-09-27T18:00:05Z)
• Quantum chaos and ensemble inequivalence of quantum long-range Ising chains [0.0]
  We use large-scale exact diagonalization to study the quantum Ising chain in a transverse field with long-range powerlaw interactions with exponents. Our findings suggest that a small fraction of energies could persist at low energies for $alpha1$ even for large $N$, giving rise to ensemble inequivalence.
  arXiv  Detail & Related papers  (2020-12-11T17:16:56Z)

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.