From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal

• URL: http://arxiv.org/abs/2511.04762v1
• Date: Thu, 06 Nov 2025 19:21:41 GMT
• Title: From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Authors: David Pascual Solis, Alex Windey, Soumik Bandyopadhyay, Andrea Legramandi, Philipp Hauke,
• Abstract summary: We investigate the Yukawa--SYK (YSYK) model, where bosonic fields mediate random fermionic interactions, and demonstrate that it naturally bridges single-particle and many-body chaos.<n>Our results establish the YSYK model as a unifying platform connecting single-particle and many-body chaos, paving the way for experimental observation of these phenomena.
• Score: 17.069809560476745
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Understanding how quantum systems transition from integrable to fully chaotic behavior remains a central open problem in physics. The Sachdev--Ye--Kitaev (SYK) model provides a paradigmatic framework for studying many-body chaos and holography, yet it captures only the strongly correlated limit, leaving intermediate regimes unexplored. Here, we investigate the Yukawa--SYK (YSYK) model, where bosonic fields mediate random fermionic interactions, and demonstrate that it naturally bridges single-particle and many-body chaos. Using spectral and dynamical chaos markers, we perform a comprehensive finite-size characterization of the YSYK model. We show that the interaction strength acts as a tunable control parameter interpolating between the SYK$_2$ and SYK$_4$ limits, and introduce a framework enabling direct and quantitative comparison with these benchmark models. In the intermediate regimes, we uncover distinct dynamical regimes marked by partial ergodicity breaking, prethermalization plateaus, and incomplete scrambling. Finally, we propose a feasible optical-cavity implementation of the YSYK model using ultra-cold atoms. Our results establish the YSYK model as a unifying platform connecting single-particle and many-body chaos, paving the way for experimental observation of these phenomena.

Related papers

• SYK thermal expectations are classically easy at any temperature [49.788604174558564]
  We give a simple classical algorithm that approximates thermal expectations.<n>We show it has quasi-polynomial cost $nO(log n/)$ for all temperatures above a phase transition in the free energy.
  arXiv  Detail & Related papers  (2026-02-26T04:48:32Z)
• Expanding the Chaos: Neural Operator for Stochastic (Partial) Differential Equations [65.80144621950981]
  We build on Wiener chaos expansions (WCE) to design neural operator (NO) architectures for SPDEs and SDEs.<n>We show that WCE-based neural operators provide a practical and scalable way to learn SDE/SPDE solution operators.
  arXiv  Detail & Related papers  (2026-01-03T00:59:25Z)
• Reaching Sachdev-Ye-Kitaev physics by shaking the Hubbard model [39.146761527401424]
  We show how a particular form of Floquet engineering, termed kinetic driving'', eliminates single-particle processes and creates quasi-random all-to-all interactions.<n>Our findings indicate that a cold-atom realization of kinetic driving offers a practical and accurate platform for quantum simulation of the SYK model.
  arXiv  Detail & Related papers  (2025-12-02T13:35:31Z)
• Introduction to Sachdev-Ye-Kitaev Model: A Strongly Correlated System Perspective [0.0]
  The Sachdev-Ye-Kitaev (SYK) model provides an analytically tractable framework for exotic strongly correlated phases.<n>This review offers a pedagogical introduction to the SYK physics, highlighting its unique capacity to model textitstrange metals<n>We transform Majorana and complex fermion variants into training grounds for modern many-body physics techniques.
  arXiv  Detail & Related papers  (2025-07-09T18:10:54Z)
• Multi-Photon Quantum Rabi Models with Center-of-Mass Motion [45.73541813564926]
  We introduce a rigorous, second-quantized framework for describing multi-$Lambda$-atoms in a cavity.<n>A key feature of our approach is the systematic application of a Hamiltonian averaging theory to the atomic field operators.<n>A significant finding is the emergence of a particle-particle interaction mediated by ancillary states.
  arXiv  Detail & Related papers  (2025-07-07T09:50:48Z)
• Avoided-crossings, degeneracies and Berry phases in the spectrum of quantum noise through analytic Bloch-Messiah decomposition [49.1574468325115]
  "analytic Bloch-Messiah decomposition" provides approach for characterizing dynamics of quantum optical systems.<n>We show that avoided crossings arise naturally when a single parameter is varied, leading to hypersensitivity of the singular vectors.<n>We highlight the possibility of programming the spectral response of photonic systems through the deliberate design of avoided crossings.
  arXiv  Detail & Related papers  (2025-04-29T13:14:15Z)
• Fast Scrambling in the Hyperbolic Ising Model [45.9982965995401]
  We investigate many-body chaos and scrambling in the Hyperbolic Ising model, a mixed-field Ising model living in the background of AdS2.<n>We show that this model with only local site-dependent nearest neighbor interactions is maximally chaotic, can be classified as a fast scrambler, and saturates the Maldacena-Shenker-Stanford (MSS) bound on chaos for a certain set of parameters.
  arXiv  Detail & Related papers  (2025-02-28T19:00:07Z)
• Many-body spectral transitions through the lens of variable-range SYK2 model [13.39567116041819]
  We investigate a quadratic SYK model with distance-dependent interactions governed by a power-law decay.<n>By analytically and numerically studying the spectral form factor (SFF), we uncover how the single particle transitions manifest in the many-body system.<n>Our results highlight the interplay between single-particle criticality and many-body dynamics, offering new insights into the quantum chaos-to-localization transition and its reflection in spectral statistics.
  arXiv  Detail & Related papers  (2024-12-18T19:17:20Z)
• Thermodynamics and dynamics of coupled complex SYK models [0.0]
  This work establishes the universality of this shared universality class and chaotic properties for SYK-like models. We demonstrate that the coupled SYK system remains maximally chaotic in the large-$q$ limit at low temperatures. These findings establish robustness and open avenues for broader inquiries into the universality and chaos in complex quantum systems.
  arXiv  Detail & Related papers  (2023-12-22T12:26:42Z)
• QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics [51.15339237964982]
  "hierarchical equations of motion" (HEOM) is a powerful exact numerical approach to solve the dynamics. It has been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. We present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2020-10-21T07:54:56Z)
• A Sparse Model of Quantum Holography [0.0]
  We study a sparse version of the Sachdev-Ye-Kitaev (SYK) model defined on random hypergraphs constructed either by a random pruning procedure or by randomly sampling regular hypergraphs. We argue that this sparse SYK model recovers the interesting global physics of ordinary SYK even when $k$ is of order unity. Our argument proceeds by constructing a path integral for the sparse model which reproduces the conventional SYK path integral plus gapped fluctuations.
  arXiv  Detail & Related papers  (2020-08-05T18:21:42Z)

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.