Universal Atom Interferometer Simulator -- Elastic Scattering Processes

• URL: http://arxiv.org/abs/2002.05148v2
• Date: Fri, 10 Jul 2020 13:47:13 GMT
• Title: Universal Atom Interferometer Simulator -- Elastic Scattering Processes
• Authors: Florian Fitzek, Jan-Niclas Siem\ss, Stefan Seckmeyer, Holger Ahlers, Ernst M. Rasel, Klemens Hammerer, Naceur Gaaloul
• Abstract summary: We introduce a universal simulator covering all regimes of matter wave light-pulse elastic scattering. This simulator is applied to atom interferometry as a study case.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we introduce a universal simulator covering all regimes of matter wave light-pulse elastic scattering. Applied to atom interferometry as a study case, this simulator solves the atom-light diffraction problem in the elastic case i.e. when the internal state of the atoms remains unchanged. Taking this perspective, the light-pulse beam splitting is interpreted as a space- and time-dependent external potential. In a shift from the usual approach based on a system of momentum-space ordinary differential equations, our position-space treatment is flexible and scales favourably for realistic cases where the light fields have an arbitrary complex spatial behaviour rather than being mere plane waves. Moreover, the numerical package we developed is effortlessly extended to the problem class of trapped and interacting geometries, which have no simple formulation in the usual framework of momentum-space ordinary differential equations. We check the validity of our model by revisiting several case studies relevant to the precision atom interferometry community. We retrieve analytical solutions when they exist and extend the analysis to more complex parameter ranges in a cross-regime fashion. The flexibility of the approach, the insight it gives, its numerical scalability and accuracy make it an exquisite tool to design, understand and quantitatively analyse metrology-oriented matter-wave interferometry experiments.

Related papers

• Engineering quantum criticality and dynamics on an analog-digital simulator [26.76525389323686]
  We use coherent mapping between the Rydberg and hyperfine qubits in a neutral atom array simulator to engineer and probe complex quantum dynamics.<n>We first demonstrate dynamical engineering of ring-exchange and particle hopping dynamics via Floquet driving.<n>We employ closed-loop optimization to target an out-of-equilibrium critical quantum spin liquid of the Rokhsar-Kivelson type.
  arXiv  Detail & Related papers  (2026-02-20T19:00:00Z)
• Physics-constrained Gaussian Processes for Predicting Shockwave Hugoniot Curves [39.92721695835137]
  A physics-constrained Gaussian Process regression framework is developed for predicting shocked material states along the Hugoniot curve.<n>The framework reproduces the Hugoniot curve with satisfactory accuracy while also quantifying the uncertainty in the predictions.
  arXiv  Detail & Related papers  (2026-01-10T18:54:24Z)
• A Global Spacetime Optimization Approach to the Real-Space Time-Dependent Schrödinger Equation [5.662521563761348]
  We propose a general-purpose neural network framework for solving the real-space TDSE, Fermionic Antisymmetric Spatio-Temporal Network.<n>This approach formulates the TDSE as a global optimization problem, avoiding step-by-step propagation and supporting highlyizable parallel training.<n>Our framework offers a highly expressive alternative to traditional basis-dependent or mean-field methods, opening new possibilities for ab initio simulations of time-dependent quantum systems.
  arXiv  Detail & Related papers  (2025-11-17T05:12:42Z)
• Parametric resonant enhancement of motional entanglement under optimal control: an analytical study [45.88028371034407]
  We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction.<n>We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations.<n>We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.
  arXiv  Detail & Related papers  (2025-10-21T09:01:19Z)
• Towards universal property prediction in Cartesian space: TACE is all you need [2.2468751274668466]
  Atomic Cluster Expansion and Moment Potential is a framework for the systematic prediction of arbitrary structure-determined tensorial properties.<n>We demonstrate that TACE attains accuracy, stability, and efficiency on par with or surpassing leading equivariant frameworks.<n>This work lays the foundation for a new generation of universal atomistic machine learning models.
  arXiv  Detail & Related papers  (2025-09-18T13:51:07Z)
• Graph Fourier Neural ODEs: Modeling Spatial-temporal Multi-scales in Molecular Dynamics [38.53044197103943]
  GF-NODE integrates a graph Fourier transform for spatial frequency decomposition with a Neural ODE framework for continuous-time evolution.<n>We show that GF-NODE achieves state-of-the-art accuracy while preserving essential geometrical features over extended simulations.<n>These findings highlight the promise of bridging spectral decomposition with continuous-time modeling to improve the robustness and predictive power of MD simulations.
  arXiv  Detail & Related papers  (2024-11-03T15:10:48Z)
• Determinant- and Derivative-Free Quantum Monte Carlo Within the Stochastic Representation of Wavefunctions [0.0]
  Describing the ground states of continuous, real-space quantum many-body systems is a significant computational challenge. Recent progress was made by variational methods based on machine learning (ML) ansatzes. We argue that combining SRW with path integral techniques leads to a new formulation that overcomes all three problems simultaneously.
  arXiv  Detail & Related papers  (2024-02-09T17:51:32Z)
• Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices [0.0]
  We develop a discrete truncated Wigner method to analyze the real-time evolution of dissipative SU($cal N$) spin insulator systems. We apply the method to a state-of-the-art experiment involving an analog quantum simulator of a three-dimensional dissipative Bose-Hubbard model.
  arXiv  Detail & Related papers  (2023-07-30T08:39:06Z)
• Exact solution of the infinite-range dissipative transverse-field Ising model [0.0]
  We present an exact solution for the steady state of the transverse-field Ising model in the limit of infinite-range interactions. Our solution holds despite the lack of any collective spin symmetry or even permutation symmetry. It allows us to investigate first- and second-order dissipative phase transitions, driven-dissipative criticality, and captures the emergence of a surprising "spin blockade" phenomenon.
  arXiv  Detail & Related papers  (2023-07-13T17:59:23Z)
• 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)
• Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays [5.4315460974430945]
  Yang-Lee edge singularities (YLES) play an important role in understanding non-Hermitian phase transitions in many-body physics. We provide a protocol for observing the YLES by detecting kinked dynamical magnetization responses due to broken PT symmetry. We propose an explicit proposal for observing YLES criticality in Floquet quenched Rydberg atomic arrays with laser-induced loss.
  arXiv  Detail & Related papers  (2023-02-13T19:48:40Z)
• Generalized Neural Closure Models with Interpretability [28.269731698116257]
  We develop a novel and versatile methodology of unified neural partial delay differential equations. We augment existing/low-fidelity dynamical models directly in their partial differential equation (PDE) forms with both Markovian and non-Markovian neural network (NN) closure parameterizations. We demonstrate the new generalized neural closure models (gnCMs) framework using four sets of experiments based on advecting nonlinear waves, shocks, and ocean acidification models.
  arXiv  Detail & Related papers  (2023-01-15T21:57:43Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Analytical Modelling of Exoplanet Transit Specroscopy with Dimensional Analysis and Symbolic Regression [68.8204255655161]
  The deep learning revolution has opened the door for deriving such analytical results directly with a computer algorithm fitting to the data. We successfully demonstrate the use of symbolic regression on synthetic data for the transit radii of generic hot Jupiter exoplanets. As a preprocessing step, we use dimensional analysis to identify the relevant dimensionless combinations of variables.
  arXiv  Detail & Related papers  (2021-12-22T00:52:56Z)
• 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)
• Leveraging Global Parameters for Flow-based Neural Posterior Estimation [90.21090932619695]
  Inferring the parameters of a model based on experimental observations is central to the scientific method. A particularly challenging setting is when the model is strongly indeterminate, i.e., when distinct sets of parameters yield identical observations. We present a method for cracking such indeterminacy by exploiting additional information conveyed by an auxiliary set of observations sharing global parameters.
  arXiv  Detail & Related papers  (2021-02-12T12:23:13Z)
• Time-Dependent Self Consistent Harmonic Approximation: Anharmonic nuclear quantum dynamics and time correlation functions [0.0]
  We derive an approximate theory for the quantum time evolution of lattice vibrations at finite temperature. We apply perturbation theory around the static SCHA solution and derive an algorithm to compute efficiently quantum dynamical response functions.
  arXiv  Detail & Related papers  (2020-11-30T16:56:50Z)
• QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics [51.15339237964982]
  "hierarchical equations of motion" (HEOM) is a powerful exact numerical approach to solve the dynamics. It has been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. We present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2020-10-21T07:54:56Z)
• Quantum Simulation of Nuclear Inelastic Scattering [0.7449724123186384]
  We present a time-dependent quantum algorithm for nuclear inelastic scattering in the time-dependent basis function on qubits approach. This algorithm aims to quantum simulate a subset of the nuclear inelastic scattering problems that are of physical interest.
  arXiv  Detail & Related papers  (2020-06-02T03:45:11Z)

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.