Emergent Viscous Hydrodynamics From a Single Quantum Particle (In this paper, we show how spatial decoherence gives rise to hydrodynamics. Interestingly, the system we consider consists of only a single quantum particle coupled to its environment. Yet, even in this case, hydrodynamics still emerges as a universal effective description in the late-time, long-wavelength limit (whereas conventional hydrodynamics typically requires a system with a large number of degrees of freedom, i.e., a many-body system). These hydrodynamic equations provide an effective description for the low-energy dynamics of the density matrix. One may understand the purely diffusive mode comes from strong-to-weak spontaneous symmetry breaking of U(1) symmetry where the U(1) is just the probability conservation.) You can also see the talk given by Prof. Jorge Noronha and Prof. Mauricio Hippert.
Physics-Informed Deformable Gaussian Splatting: Towards Unified Constitutive Laws for Time-Evolving Material Field. （Physics-Informed Deformable Gaussian (PIDG) Splatting models each 3D Gaussian as a Lagrangian particle whose time-evolving velocity and stress are predicted by a learned material field; it enforces physics by minimizing the Cauchy momentum residual and fits motion by aligning per-particle velocity flows to camera-compensated optical flow, using a backward-flow registration that avoids stripe artifacts. It represents dynamics in a canonical hash space with 4D decomposed hash encoding, cutting memory from O(n^4) to O(n^3). Across a custom physics-driven dataset and real-world HyperNeRF scenes, PIDG yields more coherent dynamics and state-of-the-art quality.）For more information, see the Project Homepage .
Diffusivity in Dissipative Quantum Transport from an Exactly Solvable Krylov Chain. (Determining transport coefficients from microscopic dynamics is a critical problem in interacting many-body physics. We make an essential step toward addressing this problem by identifying an exactly solvable Krylov-space mechanism in a strongly dissipative noisy XXZ chain, which enables the leading density-dependent interaction correction to the Green-Kubo diffusivity to be calculated exactly. We show that an infinite hierarchy of dissipative operators closes onto a self-similar semi-infinite Krylov chain. This makes all the Lanczos coefficients and the boundary Green’s function to be determined exactly. This yields a closed-form expression for the diffusivity and provides a benchmark for macroscopic fluctuation theory. More broadly, our construction opens a route to exact transport calculations in interacting open systems without requiring the full Lindbladian itself to be exactly solvable.)