Hydrodynamic tails in chaotic spin chains with quantum group symmetry
- URL: http://arxiv.org/abs/2606.20850v1
- Date: Thu, 18 Jun 2026 18:34:52 GMT
- Title: Hydrodynamic tails in chaotic spin chains with quantum group symmetry
- Abstract summary: We show that quantum group symmetry provides a novel mechanism for anomalous hydrodynamics in chaotic systems.<n>We study the dynamics of local operators carrying $U(1)$ charge in non-integrable lattice models that also have quantum group symmetry.
- Score: 36.94429692322632
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The interplay between symmetry and thermalization governs the late-time dynamics of local quantum and classical many-body systems at nonzero temperature. Recently, two parallel frontiers have emerged: the search for robust anomalous hydrodynamics -- such as superdiffusion -- in generic, non-integrable models, and the formal effort to generalize the fundamental concept of global symmetry. In this paper, we bridge these frontiers by demonstrating that quantum group symmetry provides a novel mechanism for anomalous hydrodynamics in chaotic systems. We study the dynamics of local operators carrying $U(1)$ charge in non-integrable lattice models that also have quantum group symmetry. One example is transverse spin in the XXZ model with integrability breaking deformations. While such excitations are expected to decay very quickly at high temperature because their charge forbids overlap with conventional hydrodynamic densities, we find that protection by the quantum group symmetry makes these modes long-lived, despite the absence of local quantum group charge density or current. Furthermore, the dynamics is superdiffusive across Hamiltonian, Floquet, and classical realizations, and exhibits unusual finite size effects at very late times. We also revisit transverse spin dynamics in the integrable XXZ model.
Related papers
- Breakdown of Thermalization from Real-Time Dynamics in the Two-Dimensional Hubbard Model [37.56003520528009]
Thermalization in strongly correlated fermionic systems remains a central open problem in quantum many-body physics.<n>In this work, we investigate the real-time dynamics and the approach to thermalization in the two-dimensional Hubbard model.
arXiv Detail & Related papers (2026-06-03T18:00:05Z) - Frustrated superradiant phases in one- and two-dimensional lattices [0.0]
We show that frustration drives photonic density-wave ordering, and that the resulting broken periodicity can be predicted from the excitation spectrum of the symmetric phase.<n>We also find quasi-periodic ordering in the superradiant phase, reminiscent of quasicrystals, and demonstrate that synthetic magnetic flux provides a powerful knob to control the nature of translational symmetry breaking.
arXiv Detail & Related papers (2026-06-03T18:00:00Z) - Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
arXiv Detail & Related papers (2025-10-23T11:25:09Z) - Collisional model with dissipative and dephasing baths: Nonadditive effects at strong coupling [39.146761527401424]
We show that when both baths act concurrently, a strong system-bath coupling gives rise to nonadditive effects in the dynamics.<n>A prominent signature of this nonadditivity is the characteristic it slowing down of population relaxation, driven by the influence of the dephasing bath.
arXiv Detail & Related papers (2025-09-13T21:37:43Z) - Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations.
We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders.
Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
arXiv Detail & Related papers (2023-06-20T11:26:30Z) - Non-Gaussian dynamics of quantum fluctuations and mean-field limit in
open quantum central spin systems [0.0]
Central spin systems are paradigmatic models for nitrogen-vacancy centers and quantum dots.
Here, we derive exact results on the emergent behavior of open quantum central spin systems.
Our findings may become relevant for developing fully quantum descriptions of many-body solid-state devices.
arXiv Detail & Related papers (2023-05-24T20:23:31Z) - Many-body physics of spontaneously broken higher-rank symmetry: from
fractonic superfluids to dipolar Hubbard model [3.7643633034408404]
Fractonic superfluids are exotic phases of matter in which bosons are subject to mobility constraints.
This paper introduces exciting developments on the theory of spontaneous symmetry breaking in such systems.
arXiv Detail & Related papers (2023-05-01T16:53:14Z) - The Closed and Open Unbalanced Dicke Trimer Model: Critical Properties
and Nonlinear Semiclassical Dynamics [5.824077816472029]
We study a generalization of the recently introduced Dicke trimer model.
In the extreme unbalanced limit, the symmetry of the Tavis-Cummings model is restored.
We observe the emergence of nonequilibrium phases characterized by trivial and non-trivial dynamical signatures.
arXiv Detail & Related papers (2023-03-21T11:23:18Z) - Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model.
The two-mode Dicke model exhibits normal to superradiant quantum phase transition.
We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z) - Periodically refreshed baths to simulate open quantum many-body dynamics [0.0]
We show how finite-time evolution in presence of finite-sized baths can be used to faithfully reconstruct the exact dynamics without requiring any small parameter.
We specifically demonstrate this by obtaining the full numerically exact non-Markovian dynamics of interacting fermionic chains in two terminal set-ups with finite temperature and voltage biases.
arXiv Detail & Related papers (2020-12-18T13:51:57Z)
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.