Dynamical analog spacetimes from nonlinear perturbations in a topological material

• URL: http://arxiv.org/abs/2507.16570v1
• Date: Tue, 22 Jul 2025 13:22:12 GMT
• Title: Dynamical analog spacetimes from nonlinear perturbations in a topological material
• Authors: Surajit Das, Surojit Dalui, Hrishit Banerjee, Arpan Krishna Mitra,
• Abstract summary: We develop a comprehensive nonlinear analog gravity framework within a topological material.<n>We numerically demonstrate the formation of evolving acoustic horizons and quantify analog Hawking temperatures.<n>This work lays the groundwork for exploring nonlinear emergent spacetime in a broad class of quantum materials.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Emergent spacetime analogs in condensed matter systems have opened a fascinating window into simulating aspects of gravitational physics in controlled laboratory environments. In this work, we develop a comprehensive nonlinear analog gravity framework within a topological material, incorporating the impact of Berry curvature on the hydrodynamic flow of electrons. Unlike prevalent studies in existing literature limited to linear perturbations, we derive and analyze a fully nonlinear wave equation governing radial perturbations of density and velocity fields, which dynamically generate an effective acoustic metric. Taking the example of graphene as a representative system, and calculating its properties from first principles, we numerically demonstrate the formation of evolving acoustic horizons and quantify analog Hawking temperatures in experimentally accessible regimes. Our findings suggest that topological materials can serve as versatile platforms to probe rich gravitational phenomena, including horizon dynamics and quasi-thermal emission, beyond conventional linear approximations. This work lays the groundwork for exploring nonlinear emergent spacetime in a broad class of quantum materials, bridging condensed matter physics and gravitational analogs.

Related papers

• 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)
• Entanglement cones and horizons in analogue cosmological production of Dirac fermions [49.1574468325115]
  We study the appearance of fermion condensates for self-interacting Dirac fermions.<n>We show that the combined breakdown of time-reversal symmetry due to the expanding spacetime, and parity due to a pseudo-scalar condensate, manifest through the structure of the light-cone-like propagation of entanglement in this analogue cQFT.
  arXiv  Detail & Related papers  (2025-03-24T22:20:16Z)
• Data-driven model reconstruction for nonlinear wave dynamics [0.0]
  We present an interpretable machine learning framework for analyzing the nonlinear evolution dynamics of optical wavepackets in complex wave media. We use sparse regression to reduce microscopic discrete lattice models to simpler effective models which can accurately describe the dynamics of the wavepacket envelope. The reconstructed equations accurately reproduce the linear dispersion nonlinear effects including self-steepening and self-focusing.
  arXiv  Detail & Related papers  (2024-11-18T13:17:10Z)
• Data-driven Modeling of Granular Chains with Modern Koopman Theory [0.20971479389679332]
  We show that a deep neural network can map the dynamics to a latent space where the essential nonlinearity of the granular system unfolds into a high-dimensional linear space.<n>Our proposed framework can directly capture the underlying dynamics without imposing any assumptions about the physics model.
  arXiv  Detail & Related papers  (2024-11-01T02:36:17Z)
• Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates [26.52467042417047]
  We propose a new scheme to realize a nonlinearity-induced dynamical self-organized twisted-bilayer lattice in an atomic Bose-Einstein condensate (BEC) The key idea here is to utilize the nonlinear effect from the intrinsic atomic interactions to couple different layers and induce a dynamical self-organized supercell structure. One of the interesting moir'e phenomena, i.e., the flat-band physics, is shown through investigating the dynamics of the wave packet of BEC.
  arXiv  Detail & Related papers  (2024-07-31T09:25:39Z)
• Bound polariton states in the Dicke-Ising model [41.94295877935867]
  We present a study of hybrid light-matter excitations in cavity QED materials.<n>We derive the exact excitations of the system in the thermodynamic limit.
  arXiv  Detail & Related papers  (2024-06-17T18:00:01Z)
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields [0.5461938536945723]
  Berry phases have long been known to significantly alter the properties of periodic systems.<n>In non-Hermitian systems, generalizations of the Berry connection have been proposed and shown to have novel effects on dynamics and transport.
  arXiv  Detail & Related papers  (2024-02-02T11:06:46Z)
• 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-equilibrium quantum probing through linear response [41.94295877935867]
  We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment. We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
  arXiv  Detail & Related papers  (2023-06-14T13:31:23Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning [30.238425143378414]
  We investigate the physics-constrained learning of implicit dynamical embeddings, leveraging neural ordinary differential equation (NODE) representations. A key objective is to constrain their boundedness, which promotes the generalization of the learned dynamics to arbitrary initial condition.
  arXiv  Detail & Related papers  (2022-02-11T16:40:46Z)
• Bloch Oscillations of Driven Dissipative Solitons in a Synthetic Dimension [0.0]
  We investigate how a synthetic dimension realised in the frequency space of a coherently-driven optical resonator influences the dynamics of nonlinear waves of the system. In particular, we observe and study nonlinear dissipative Bloch oscillations occurring along the synthetic frequency dimension. Our work establishes Kerr resonators as an ideal platform for the study of nonlinear dynamics in long-scale synthetic dimensions.
  arXiv  Detail & Related papers  (2021-12-20T18:58:02Z)
• Topological Optical Parametric Oscillation [0.0]
  Topological insulators possess protected boundary states which are robust against disorders. This work sheds light on the dynamics of weakly nonlinear topological systems driven out of equilibrium.
  arXiv  Detail & Related papers  (2021-08-03T04:17:51Z)
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems [0.0]
  Berry phases strongly affect the properties of crystalline materials. In non-Hermitian systems, generalizations of the Berry connection have been analyzed. We show that non-Hermiticity is manifested in anomalous weight rate and velocity terms.
  arXiv  Detail & Related papers  (2020-04-28T18:00:12Z)

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.