Variational Quantum Simulation of the Fokker-Planck Equation applied to Quantum Radiation Reaction

• URL: http://arxiv.org/abs/2411.17517v1
• Date: Tue, 26 Nov 2024 15:27:00 GMT
• Title: Variational Quantum Simulation of the Fokker-Planck Equation applied to Quantum Radiation Reaction
• Authors: Óscar Amaro, Lucas I. Iñigo Gamiz, Marija Vranic,
• Abstract summary: Near-future experiments with Petawatt class lasers are expected to produce a high flux of gamma-ray and electron-positron pairs. This work will be useful as a first step towards quantum simulation of plasma physics scenarios.
• Score: 0.0
• License:
• Abstract: Near-future experiments with Petawatt class lasers are expected to produce a high flux of gamma-ray photons and electron-positron pairs through Strong Field Quantum Electrodynamical processes. Simulations of the expected regime of laser-matter interaction are computationally intensive due to the disparity of the spatial and temporal scales and because quantum and classical descriptions need to be accounted for simultaneously (classical for collective effects and quantum for nearly-instantaneous events of hard photon emission and pair creation). A typical configuration for experiments is a scattering of an electron and a laser beam which can be mapped to an equivalent problem with constant magnetic field. We study the stochastic cooling of an electron beam in a strong constant uniform magnetic field, both its particle distribution functions and their energy momenta. We start by obtaining approximate closed-form analytical solutions to the relevant observables. Then, we apply the quantum-hybrid Variational Quantum Imaginary Time Evolution to the Fokker-Planck equation describing this process, and compare against theory and results from Particle-In-Cell simulations and classical Partial Differential Equation solvers, showing good agreement. This work will be useful as a first step towards quantum simulation of plasma physics scenarios where diffusion processes are important, in particular in strong electromagnetic fields.

Related papers

• Quantum Optical Aspects of High-Harmonic Generation [0.0]
  The interaction of electrons with strong laser fields is usually treated with semiclassical theory. An analytic method is proposed to answer this question in the framework of nonrelativistic quantum electrodynamics. Our formalism is suitable to analyse, among various quantal effects, the possible role of arbitrary photon statistics of the incoming field.
  arXiv  Detail & Related papers  (2024-07-05T10:47:53Z)
• Quantum nuclear dynamics on a distributed set of ion-trap quantum computing systems [0.0]
  We use an IonQ 11-qubit trapped-ion quantum computer, Harmony, to study the quantum wavepacket dynamics of a shared-proton. We also provide the first application of distributed quantum computing for chemical dynamics problems.
  arXiv  Detail & Related papers  (2024-06-07T18:27:50Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Coulomb interaction-driven entanglement of electrons on helium [0.0]
  We theoretically investigate the generation of emphmotional entanglement between two electrons via their unscreened Coulomb interaction. We compute the motional energy spectra of the electrons, as well as their entanglement, by diagonalizing the model Hamiltonian with respect to a single-particle Hartree product basis. In particular, the theoretical tools developed here can be used for fine tuning and optimization of control parameters in future experiments with electrons trapped above the surface of superfluid helium or solid neon.
  arXiv  Detail & Related papers  (2023-10-07T21:40:20Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Quantum-quasiclassical analysis of center-of-mass nonseparability in hydrogen atom stimulated by strong laser fields [0.0]
  We have developed a scheme for treating the nonseparable quantum-classical dynamics of the 6D hydrogen atom in a strong laser pulse. The Schr"odinger equation for the electron and the classical Hamilton equations for the CM variables are integrated simultaneously. It is possible to detect the quantum dynamics of an electron by measuring the distribution of the CM kinetic energy.
  arXiv  Detail & Related papers  (2022-11-07T14:13:19Z)
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes [55.41644538483948]
  We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
  arXiv  Detail & Related papers  (2021-08-25T13:40:42Z)
• 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)

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.