The deep Hilbert space of all-to-all interacting SU(3) atoms: from quantum to classical

• URL: http://arxiv.org/abs/2512.05184v1
• Date: Thu, 04 Dec 2025 19:00:01 GMT
• Title: The deep Hilbert space of all-to-all interacting SU(3) atoms: from quantum to classical
• Authors: Federico Balducci, Aleksandra A. Ziolkowska,
• Abstract summary: We study the emergence of chaos in multilevel atoms with all-to-all interactions, inspired by cavity QED.<n>Our work contributes to the study of the quantum-classical correspondence in chaotic systems, and uncovers a rich structure in multilevel all-to-all interacting models.
• Score: 45.94400632660844
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the emergence of chaos in multilevel atoms with all-to-all interactions, inspired by cavity QED. Focusing on a 3-level Tavis-Cummings model in a far detuned limit, we detail its deep Hilbert space structure -- i.e. we enumerate all distinct dynamical sectors, beyond the totally symmetric subspace -- by using the Schur-Weyl duality, which is applicable thanks to the permutation symmetry in the all-to-all Hamiltonian. Strong Hilbert space fragmentation ensues from the non-abelian nature of the symmetry, with some sectors displaying regular dynamics and others being chaotic. We uncover that many permutation symmetry sectors contribute to the dynamics in the classical limit, in addition to the commonly studied totally symmetric subspace. To elucidate the dynamical responses in each of the symmetry sectors, we propose a semiclassical description in terms of spin coherent states, which is also able to explain the origin of chaotic or regular dynamics with a simple geometrical argument. Our work contributes to the study of the quantum-classical correspondence in chaotic systems, and uncovers a rich structure in multilevel all-to-all interacting models.

Related papers

• Enhancing entanglement asymmetry in fragmented quantum systems [0.10923877073891443]
  Entanglement asymmetry provides a measure of symmetry breaking in many-body quantum states.<n>We show that the typical asymmetry is bounded by a specific fraction of its maximal value.<n>We reproduce recent findings on the entanglement asymmetry dynamics in random quantum circuits.
  arXiv  Detail & Related papers  (2026-03-02T19:10:30Z)
• Obstruction to Ergodicity from Locality and $U(1)$ Higher Symmetries on the Lattice [0.0]
  We argue that the presence of emphany exact $U(1)$ higher-form symmetry, under mild assumptions, presents a fundamental obstruction to ergodicity under unitary dynamics.<n>We show that such systems necessarily exhibit Hilbert space fragmentation and explicitly construct Krylov sectors whose number scales exponentially with system size.
  arXiv  Detail & Related papers  (2025-11-26T19:00:01Z)
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking [5.181697052513637]
  Real-to-complex spectral transitions and spontaneous symmetry breaking of eigenstates are central to non-Hermitian physics.<n>Our work uncovers the physical mechanism of non-Hermitian symmetry breaking and introduces a new perspective with broad implications for the control and application of non-Hermitian phenomena.
  arXiv  Detail & Related papers  (2024-11-26T12:57:39Z)
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos [44.99833362998488]
  We develop an analytical approach to the spectral form factor and out-of-time ordered correlators in zero-dimensional Brownian models of quantum chaos.
  arXiv  Detail & Related papers  (2024-10-21T10:56:49Z)
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling [0.0]
  We analyze the existence and degeneracies of quantum exceptional, diabolical, and hybrid points in simple bosonic systems.<n>Un unidirectional coupling of various types enables the concatenation of simple bosonic systems with second- and third-order exceptional degeneracies.
  arXiv  Detail & Related papers  (2024-05-02T18:40:21Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Multipole groups and fracton phenomena on arbitrary crystalline lattices [0.5735035463793008]
  We systematically explore multipole symmetries on arbitrary crystal lattices. This makes clear that there is new physics to be found by exploring the consequences of multipolar symmetries on arbitrary lattices.
  arXiv  Detail & Related papers  (2023-01-25T19:00:01Z)
• Deformed Symmetry Structures and Quantum Many-body Scar Subspaces [12.416248333306237]
  A quantum many-body scar system usually contains a special non-thermal subspace decoupled from the rest of the Hilbert space. We propose a general structure called deformed symmetric spaces for the decoupled subspaces hosting quantum many-body scars.
  arXiv  Detail & Related papers  (2021-08-17T18:00:02Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Models of zero-range interaction for the bosonic trimer at unitarity [91.3755431537592]
  We present the construction of quantum Hamiltonians for a three-body system consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation, infinite scattering length will be considered.
  arXiv  Detail & Related papers  (2020-06-03T17:54:43Z)
• Emergence of classical behavior in the early universe [68.8204255655161]
  Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon. We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space. The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
  arXiv  Detail & Related papers  (2020-04-22T16:38:25Z)

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.