A quantum inspired approach to exploit turbulence structures
Preprint available at arXiv:2106.05782
Abstract:
Understanding turbulence is the key to our comprehension of many natural and technological flow processes. At the heart of this phenomenon lies its intricate multi-scale nature, describing the coupling between different-sized eddies in space and time. Here we introduce a new paradigm for analyzing the structure of turbulent flows by quantifying correlations between different length scales using methods inspired from quantum many-body physics. We present results for interscale correlations of two paradigmatic flow examples, and use these insights along with tensor network theory to design a structure-resolving algorithm for simulating turbulent flows. With this algorithm, we find that the incompressible Navier-Stokes equations can be accurately solved within a computational space reduced by over an order of magnitude compared to direct numerical simulation. Our quantum-inspired approach provides a pathway towards conducting computational fluid dynamics on quantum computers.
Tuning Metastable Light-Induced Superconductivity in K3C60 with a Hybrid CO2-Ti:Sapphire Laser
Optica Publishing Group (2021) ff1a.5
Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss
New Journal of Physics IOP Publishing 22 (2020) 123040
Abstract:
We develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians. We discuss how the dissipative Bethe ansatz opens the possibility of analytically calculating the dynamics of a wide range of experimentally relevant models including cold atoms subjected to one and two body losses, coupled cavity arrays with bosons escaping the cavity, and cavity quantum electrodynamics. As an example of our approach we study the relaxation properties in a boundary driven XXZ spin chain. We exactly calculate the Liouvillian gap and find different relaxation rates with a novel type of dynamical dissipative phase transition. This physically translates into the formation of a stable domain wall in the easy-axis regime despite the presence of loss. Such analytic results have previously been inaccessible for systems of this type.Quantum many-body attractors
Research Square Platform LLC (2020)
Quantum electrodynamic control of matter: cavity-enhanced ferroelectric phase transition
Physical Review X American Physical Society 10 (2020) 041027