Exact Entanglement Dynamics Beyond Nearest-Neighbor Dual-Unitary Floquet Systems

• URL: http://arxiv.org/abs/2606.11311v1
• Date: Tue, 09 Jun 2026 18:00:56 GMT
• Title: Exact Entanglement Dynamics Beyond Nearest-Neighbor Dual-Unitary Floquet Systems
• Abstract summary: We introduce an analytically tractable family of finite-range kicked Ising models that admit exact closed-form entanglement dynamics.<n>We derive exact expressions for all the $n-$Rényi entanglement entropies at all times and show that the result is the sum of the two coupled sublattice contributions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Exact results using dual-unitarity largely rely on nearest-neighbor structures, while finite-range interactions typically lead to complications. Going beyond the usual nearest-neighbor setting, we introduce an analytically tractable family of finite-range kicked Ising models that admit exact closed-form entanglement dynamics. The construction is based on a staggered structure in which dual-unitarity is present on sublattices that are then coupled to each other. The central observation is that these inter-sublattice couplings do not obstruct the dual-unitarity of the resulting model. For the minimal interaction range of $r= 2$, we derive exact expressions for all the $n-$Rényi entanglement entropies at all times and show that the result is the sum of the two coupled sublattice contributions. Our framework extends naturally to larger finite interaction ranges and to systems with heterogeneous local Hilbert spaces, without additional assumptions. It thus provides a controlled setting for studying exact entanglement growth beyond strictly nearest-neighbor dual-unitary models.

Related papers

• Nonlocality-induced critical-length hierarchy from non-Hermitian competition [48.9823527611878]
  In short-range systems formed by two coupled chains, competition leads to the critical-length law $N_csimln D$.<n>Here we show that long-range hoppings fundamentally reorganizes this critical behavior, producing a hierarchy of distinct scaling laws.<n>Our results offer a platform-independent framework testable in programmable topoelectrical circuits, photonic lattices and digital quantum simulators.
  arXiv  Detail & Related papers  (2026-08-03T18:00:18Z)
• Local correlations in long-range dual-unitary kicked Hamiltonian chains [0.0]
  Floquet models with exact space--time symmetry provide examples of systems with dual-unitary dynamics.<n>We show that local two-point correlations in such models propagate along the light-cone edges ( |n| = r|t| ), where (r) is the interaction range.<n>This approach is illustrated using the example of a kicked Ising spin chain with next-to-next-neighbor interactions.
  arXiv  Detail & Related papers  (2026-06-11T19:35:45Z)
• 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)
• Minimal nonintegrable models with three-site interactions [8.866543651982537]
  We classify minimal nonintegrable spin-$1/2$ Hamiltonians, defined as models that saturate injectivity while admitting no nontrivial local conserved charges beyond the Hamiltonian.<n>Our results delineate a sharp boundary between integrability and nonintegrability beyond the nearest-neighbor paradigm.
  arXiv  Detail & Related papers  (2026-02-08T08:41:06Z)
• Phase structure of the one-dimensional $\mathbb{Z}_2$ lattice gauge theory with second nearest-neighbor interactions [0.0]
  We extend previous studies by including second nearest-neighbor (2NN) interactions.<n>The inclusion of 2NN interactions enhances charge order and suppresses pair coherence, evidenced by sharp peaks in the structure factor and rapid decay in pair-pairors.
  arXiv  Detail & Related papers  (2025-12-11T15:46:18Z)
• Two-dopant origin of competing stripe and pair formation in Hubbard and $t$-$J$ models [0.0]
  We study single pairs of dopants in a cylindrical system using the density-matrix renormalization group algorithm.<n>We establish that the interplay between order and uniform pairing, central to the models' phases at finite doping, has its origin at the single-pair level.
  arXiv  Detail & Related papers  (2024-09-26T17:59:57Z)
• Entanglement of Disjoint Intervals in Dual-Unitary Circuits: Exact Results [49.1574468325115]
  We show that the entanglement dynamics agrees with what is expected for chaotic systems.<n>Despite having many conserved charges, charge-conserving dual-unitary circuits are in general not Yang-Baxter integrable.
  arXiv  Detail & Related papers  (2024-08-29T17:45:27Z)
• Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis [44.99833362998488]
  We calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. We gain insights into the contradistinction between the consistent vs. conventional bosonization-debosonization formalisms. In particular, we make use of renormalization-flow arguments to further justify the consistent refermionization of the parallel Kondo interaction.
  arXiv  Detail & Related papers  (2023-08-07T14:07:21Z)
• The frustration-free fully packed loop model [4.965221313169878]
  We consider a quantum fully packed loop model on the square lattice with a frustration-free projector Hamiltonian and ring-exchange interactions acting on plaquettes. We discuss how the boundary term fractures the Hilbert space into Krylov subspaces, and we prove that the Hamiltonian is ergodic within each subspace. We show that the spectrum is shown to be gapless in the thermodynamic limit with a trial state constructed by adding a twist to the ground state superposition.
  arXiv  Detail & Related papers  (2022-06-03T18:00:04Z)
• Many Body Quantum Chaos and Dual Unitarity Round-a-Face [0.0]
  We propose a new type of locally interacting quantum circuits which are generated by unitary interactions round-a-face (IRF) We show how arbitrary dynamical correlation functions of local observables can be evaluated in terms of finite dimensional completely positive trace preserving unital maps. We provide additional data on dimensionality of the chiral extension of DUBG circuits with distinct local Hilbert spaces of dimensions $dneq d'$ residing at even/odd lattice sites.
  arXiv  Detail & Related papers  (2021-05-17T17:16:33Z)
• Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler [40.456646238780195]
  Two-qubit gates at scale are a key requirement to realize the full promise of quantum computation and simulation. We present a systematic approach that goes beyond the dispersive approximation to exploit the engineered level structure of the coupler and optimize its control. We experimentally demonstrate CZ and $ZZ$-free iSWAP gates with two-qubit interaction fidelities of $99.76 pm 0.07$% and $99.87 pm 0.23$%, respectively.
  arXiv  Detail & Related papers  (2020-11-02T19:09:43Z)
• 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)
• 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.