Dynamic properties and the roton mode attenuation in the liquid 3He: an ab initio study within the self-consistent method of moments

• URL: http://arxiv.org/abs/2301.10103v1
• Date: Tue, 24 Jan 2023 16:16:08 GMT
• Title: Dynamic properties and the roton mode attenuation in the liquid 3He: an ab initio study within the self-consistent method of moments
• Authors: A.V. Filinov, J. Ara and I.M. Tkachenko
• Abstract summary: The density-numbers structure factor and the eigenmodes of density fluctuations in the uniform liquid $3$He are studied using a novel non-perturbative approach. The ab initio path integral Monte Carlo (PIMC) simulations provide crucial information on the system static properties.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The density-density dynamic structure factor and the eigenmodes of density fluctuations in the uniform liquid $^3$He are studied using a novel non-perturbative approach. The introduced self-consistent method of moments invokes up to nine sum rules and other exact relations involving the spectral density, the two-parameter Shannon information entropy maximization procedure, and the ab initio path integral Monte Carlo (PIMC) simulations which provide crucial input information on the system static properties. Detailed analysis of the dispersion relations of collective excitations, the modes' decrements and the static structure factor (SSF) of $^3$He at the saturated vapor pressure is performed. The results are compared to available experimental data~[1,2]. Our theory predicts a clear signature of the roton-like feature in the particle-hole segment of the excitation spectrum with a significant reduction of the roton decrement in the range of wavenumbers $1.3$ A$^{-1}$ $\leq q\leq 2.2$ A$^{-1}$. The observed roton mode remains a well defined collective excitation even in the particle-hole band, where, however, it is strongly damped. Hence, the existence of the roton-like mode in the bulk liquid $^3$He is confirmed like in other strongly interacting quantum fluids~[3]. The phonon branch of the spectrum is also studied with a reasonable agreement with the same experimental data being achieved. The presented combined approach permits to produce ab initio data on the system dynamic characteristics in a wide range of physical parameters and for other physical systems.

Related papers

• Variational Inference via Smoothed Particle Hydrodynamics [0.0]
  A new variational inference method is proposed, based on smoothed particle hydrodynamics. It offers fast, flexible, scalable and deterministic sampling and inference for a class of probabilistic models.
  arXiv  Detail & Related papers  (2024-07-12T11:38:41Z)
• Capturing dynamical correlations using implicit neural representations [85.66456606776552]
  We develop an artificial intelligence framework which combines a neural network trained to mimic simulated data from a model Hamiltonian with automatic differentiation to recover unknown parameters from experimental data. In doing so, we illustrate the ability to build and train a differentiable model only once, which then can be applied in real-time to multi-dimensional scattering data.
  arXiv  Detail & Related papers  (2023-04-08T07:55:36Z)
• Entanglement and correlations in fast collective neutrino flavor oscillations [68.8204255655161]
  Collective neutrino oscillations play a crucial role in transporting lepton flavor in astrophysical settings. We study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations. We present evidence that these fast collective modes are generated by the same dynamical phase transition.
  arXiv  Detail & Related papers  (2022-03-05T17:00:06Z)
• Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system [0.0]
  localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by quasi-periodic harmonic oscillations of $M$ colors is investigated.
  arXiv  Detail & Related papers  (2022-02-17T10:59:31Z)
• Localization of a mobile impurity interacting with an Anderson insulator [0.0]
  We study a mobile impurity, representing a small quantum bath, that interacts locally with an Anderson insulator with a finite density of localized particles. Using an extension of the density matrix renormalization group algorithm to excited states (DMRG-X), we approximate the highly excited eigenstates of the system. We find that the impurity remains localized in the eigenstates and entanglement is enhanced in a finite region around the position of the impurity.
  arXiv  Detail & Related papers  (2021-11-16T16:39:28Z)
• A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures [68.8204255655161]
  It is shown that the proposed method is able to predict central moments of interest while being magnitudes faster to evaluate than traditional approaches. It is shown, that the proposed method is able to predict central moments of interest while being magnitudes faster to evaluate than traditional approaches.
  arXiv  Detail & Related papers  (2021-10-26T07:02:14Z)
• Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids [58.720142291102135]
  We advance a second-quantization framework that helps reveal an exact fusion mechanism for particle fractionalization in FQH fluids. We also uncover the fundamental structure behind the condensation of non-local operators characterizing topological order in the lowest-Landau-level (LLL)
  arXiv  Detail & Related papers  (2021-10-12T18:00:00Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Statistical mechanics of one-dimensional quantum droplets [0.0]
  We study the dynamical relaxation process of modulationally unstable one-dimensional quantum droplets. We find that the instability leads to the spontaneous formation of quantum droplets featuring multiple collisions.
  arXiv  Detail & Related papers  (2021-02-25T15:30:30Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential [0.0]
  We study the properties of a few interacting spin $1/2$ fermions trapped in a harmonic oscillator potential. Results obtained by means of exact diagonalization techniques are combined with analytical expressions for both the non-interacting and strongly interacting regime.
  arXiv  Detail & Related papers  (2020-05-21T20:22:09Z)

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.