Quantum turbulence in the many-body regime
- URL: http://arxiv.org/abs/2606.23822v1
- Date: Mon, 22 Jun 2026 18:06:11 GMT
- Title: Quantum turbulence in the many-body regime
- Abstract summary: We discuss phenomenology associated with turbulent hydrodynamics in quantum fluids from a condensed-matter perspective.<n>Considering the effect of quantum fluctuations beyond the mean-field approximation, we propose a study of many-body quantum effects in turbulent hydrodynamics.
- Score: 39.146761527401424
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We discuss phenomenology associated with turbulent hydrodynamics in quantum fluids from a condensed-matter perspective. We begin with weakly-interacting superfluids, often modeled by a mean-field theory governed by the Gross-Pitaevskii equation. Considering the effect of quantum fluctuations beyond the mean-field approximation, we propose a study of many-body quantum effects in turbulent hydrodynamics, especially near zero temperature. We motivate examples of quantum many-body systems where such effects may be uncovered. These include bosons confined in a periodic potential in low spatial dimensions (one and two), and the associated quantum critical point of the superfluid-insulator transition, realized in present-day ultracold-atom and quantum computing platforms. We conclude by listing a set of (open) questions that may be answered using modern quantum many-body techniques. This article is part of the theme issue 'Frontiers of turbulence and statistical physics'.
Related papers
- On Hydrodynamic Formulations of Quantum Mechanics and the Problem of Sparse Ontology [0.0]
Hydrodynamic reformulations of the Schrdinger equation suggest an interpretation of quantum mechanics in terms of a fluid flowing on configuration space.<n>In the discrete hydrodynamic view, this fluid is not fundamental but emerges from many underlying microscopic fluid components.<n>We argue that all discrete hydrodynamic models face a generic structural difficulty, which we call the problem of sparse ontology.
arXiv Detail & Related papers (2026-02-24T17:03:49Z) - A Comprehensive Approach to Finite-Bath Open Quantum Systems: Exact Dynamics [0.0]
We develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system.<n>A new quantum channel is characterized, while the latter elucidates the microscopic understanding of a very well-known non-Markovian quantum channel.<n>This paves the way for a foundational understanding of finite-bath open quantum systems and a number of novel applications in the vast domain of quantum physics.
arXiv Detail & Related papers (2025-11-10T15:12:35Z) - Probing quantum many-body dynamics using subsystem Loschmidt echos [39.34101719951107]
We experimentally investigate the subsystem Loschmidt echo, a quasi-local observable that captures key features of the Loschmidt echo.<n>In the short-time regime, we observe a dynamical quantum phase transition arising from genuine higher-order correlations.<n>In the long-time regime, the subsystem Loschmidt echo allows us to quantitatively determine the effective dimension and structure of the accessible Hilbert space in the thermodynamic limit.
arXiv Detail & Related papers (2025-01-28T14:51:37Z) - Observation of quantum superposition of topological defects in a trapped ion quantum simulator [10.307677845109378]
We report the observation of quantum superposition of topological defects in a trapped-ion quantum simulator.
Our work provides useful tools for non-equilibrium dynamics in quantum Kibble-Zurek physics.
arXiv Detail & Related papers (2024-10-20T13:27:13Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Strongly interacting trapped one-dimensional quantum gases: an exact
solution [0.0]
Review collects the predictions coming from a family of exact solutions.
The exact solution applies to bosons, fermions and mixtures.
It also predicts the exact quantum dynamics at all the times.
arXiv Detail & Related papers (2022-01-07T08:06:43Z) - Probing Topological Spin Liquids on a Programmable Quantum Simulator [40.96261204117952]
We use a 219-atom programmable quantum simulator to probe quantum spin liquid states.
In our approach, arrays of atoms are placed on the links of a kagome lattice and evolution under Rydberg blockade creates frustrated quantum states.
The onset of a quantum spin liquid phase of the paradigmatic toric code type is detected by evaluating topological string operators.
arXiv Detail & Related papers (2021-04-09T00:18:12Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron [0.0]
We find that the jamming transition with quantum dynamics shows critical exponents different from the classical case.
Our findings have implications for the theory of glasses at ultra-low temperatures and for the study of quantum machine-learning algorithms.
arXiv Detail & Related papers (2020-03-02T18:05:14Z) - Probing the Universality of Topological Defect Formation in a Quantum
Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model.
We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors.
This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
arXiv Detail & Related papers (2020-01-31T02:55:35Z)
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.