Nonlinear Coherent Transport in 2D Thermal Metamaterials: From Solitons and Topological Defects to Quantum Computing

• URL: http://arxiv.org/abs/2605.08162v1
• Date: Mon, 04 May 2026 12:56:54 GMT
• Title: Nonlinear Coherent Transport in 2D Thermal Metamaterials: From Solitons and Topological Defects to Quantum Computing
• Abstract summary: We develop a unified theoretical framework for two-dimensional thermal metamaterials.<n>We identify a two-channel transport mechanism in which coherent nonlinear excitations coexist with incoherent hydrodynamic modes.<n>This synthesis provides actionable guidance for the design of engineered heat-spreading architectures.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by anharmonicity, reduced dimensionality, and the emergence of long-lived coherent excitations. In this work, we develop a unified theoretical framework for two-dimensional thermal metamaterials that combines nonlinear lattice dynamics, soliton-based effective field theories, and geometrically organized defect networks as guiding structures for energy flow. We introduce minimal discrete and continuum-inspired models suitable for controlled benchmarking of thermal transport in patterned two-dimensional architectures and identify a two-channel transport mechanism in which coherent nonlinear excitations coexist with incoherent hydrodynamic modes. The interplay between these channels is shown to be highly sensitive to geometry, nonlinearity, and temperature, offering new avenues for thermal management. We establish rigorous connections between microscopic nonlinearity, geometry-driven channeling of heat in two dimensions, and quantum-enabled exploration of both high-occupation classical regimes and genuinely quantum regimes beyond the reach of standard simulation strategies. The theoretical predictions are corroborated by recent experimental and computational results in Stone-Wales-defected PdSSe monolayers and silicon phononic crystal nanostructures, which exhibit ultra-low thermal conductivity coexisting with high carrier mobility and strong anisotropy -- direct manifestations of the two-channel mechanism. This synthesis provides actionable guidance for the design of engineered heat-spreading architectures and positions quantum simulation as a transformative tool for advancing the theory of nonlinear heat transport.

Related papers

• Far-field spatial coherence driven by lossy objects: first-principles approach unifying scattering of quantum light and thermal emission [51.56484100374058]
  We develop a first-principles framework based on the modified Langevin noise formalism to unify the scattering of quantum light and the intrinsic thermal emission of finite dissipative objects.<n>Applying this framework across optical regimes, we determine operational bounds for lossy quantum photonics.
  arXiv  Detail & Related papers  (2026-07-01T09:04:32Z)
• 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)
• Nonlinear GENERIC Informed Neural Networks (N-GINNs): learning GENERIC dynamics with non-quadratic dissipation potentials [0.0]
  We introduce GENERIC Informed Neural Networks (N-GINNs), a deep learning framework for discovering evolution equations of systems governed by the nonlinear GENERIC formalism.<n>Such systems exhibit coupled conservative and dissipative dynamics, and can be described via the superposition of a Hamiltonian flow and a generalized gradient flow.
  arXiv  Detail & Related papers  (2026-05-09T17:03:30Z)
• Quantum Bipolar Thermoelectricity [39.3098730337656]
  bipolar quantum thermoelectricity could provide a new route for spectroscopic sensing of electromagnetic modes.<n>Results suggest that bipolar quantum thermoelectricity could provide a new route for spectroscopic sensing of electromagnetic modes.
  arXiv  Detail & Related papers  (2025-08-05T08:46:39Z)
• Prethermalization of light and matter in cavity-coupled Rydberg arrays [44.99833362998488]
  We explore the dynamics of two-dimensional Rydberg atom arrays coupled to a single-mode optical cavity.<n>We discover a novel prethermalization regime driven by the interplay between short-range Rydberg interactions and long-range photon-mediated interactions.
  arXiv  Detail & Related papers  (2025-04-08T17:59:59Z)
• Synthetic $π$-flux system in 2D superconducting qubit array with tunable coupling [14.808613294313902]
  We present the experimental realization of a $pi$-flux rhombic system using a two-dimensional superconducting qubit array with tunable coupling.<n>Our results provide future possibilities for exploring the interplay of geometry, interactions, and quantum information encoding in such degenerate systems.
  arXiv  Detail & Related papers  (2025-01-12T07:56:04Z)
• Electron-Electron Interactions in Device Simulation via Non-equilibrium Green's Functions and the GW Approximation [71.63026504030766]
  electron-electron (e-e) interactions must be explicitly incorporated in quantum transport simulation.<n>This study is the first one reporting large-scale atomistic quantum transport simulations of nano-devices under non-equilibrium conditions.
  arXiv  Detail & Related papers  (2024-12-17T15:05:33Z)
• Machine Learning Extreme Acoustic Non-reciprocity in a Linear Waveguide with Multiple Nonlinear Asymmetric Gates [68.8204255655161]
  This work is a study of acoustic non-reciprocity exhibited by a passive one-dimensional linear waveguide incorporating two local strongly nonlinear, asymmetric gates. The maximum transmissibility reaches as much as 40%, and the transmitted energy from upstream to downstream varies up to nine orders of magnitude, depending on the direction of wave propagation.
  arXiv  Detail & Related papers  (2023-02-02T17:28:04Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)

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.