Numerical solution of quantum Landau-Lifshitz-Gilbert equation

• URL: http://arxiv.org/abs/2506.19594v1
• Date: Tue, 24 Jun 2025 13:04:07 GMT
• Title: Numerical solution of quantum Landau-Lifshitz-Gilbert equation
• Authors: Vahid Azimi-Mousolou, Davoud Mirzaei,
• Abstract summary: Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems.<n>Inspired by the need to incorporate quantum effects into spin dynamics, recently a quantum generalization of the LG equation is proposed.<n>We develop a robust numerical methodology tailored to this quantum LG framework.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The classical Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems, yet its classical nature limits its applicability to inherently quantum phenomena such as entanglement and nonlocal correlations. Inspired by the need to incorporate quantum effects into spin dynamics, recently a quantum generalization of the LLG equation is proposed [Phys. Rev. Lett. 133, 266704 (2024)] which captures essential quantum behavior in many-body systems. In this work, we develop a robust numerical methodology tailored to this quantum LLG framework that not only handles the complexity of quantum many-body systems but also preserves the intrinsic mathematical structures and physical properties dictated by the equation. We apply the proposed method to a class of many-body quantum spin systems, which host topological states of matter, and demonstrate rich quantum behavior, including the emergence of long-time entangled states. This approach opens a pathway toward reliable simulations of quantum magnetism beyond classical approximations, potentially leading to new discoveries.

Related papers

• Scaled quantum theory. The bouncing ball problem [0.0]
  The standard bouncing ball problem is analyzed under the presence of a gravitational field and harmonic potential. The quantum-classical transition of the density matrix is described by the linear scaled von Neumann equation for mixed states.
  arXiv  Detail & Related papers  (2024-10-14T10:09:48Z)
• To be or not to be, but where? [0.0]
  The identification of physical subsystems in quantum mechanics as compared to classical mechanics poses conceptual challenges.<n>Covariant linearized quantum gravity disrupts this framework by preventing the formation of gauge-invariant local algebras.<n>A pivotal shift is proposed: the identification between classical and quantum systems should be evolving rather than fixed, opening the possibility of a single-world unitary quantum mechanics.
  arXiv  Detail & Related papers  (2024-05-31T17:22:39Z)
• Markovian dynamics for a quantum/classical system and quantum trajectories [0.0]
  We develop a general approach to the dynamics of quantum/classical systems. An important feature is that, if the interaction allows for a flow of information from the quantum component to the classical one, necessarily the dynamics is dissipative.
  arXiv  Detail & Related papers  (2024-03-24T08:26:54Z)
• 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)
• Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
  We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
  arXiv  Detail & Related papers  (2021-08-30T23:50:05Z)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• Objective trajectories in hybrid classical-quantum dynamics [0.0]
  We introduce several toy models in which to study hybrid classical-quantum evolution. We present an unravelling approach to calculate the dynamics, and provide code to numerically simulate it.
  arXiv  Detail & Related papers  (2020-11-11T19:00:34Z)
• Dynamical replica analysis of quantum annealing [0.0]
  An interesting alternative approach to the dynamics of quantum spin systems was proposed about a decade ago. It involves creating a proxy dynamics via the Suzuki-Trotter mapping of the quantum ensemble to a classical one. In this chapter we give an introduction to this approach, focusing on the ideas and assumptions behind the derivations.
  arXiv  Detail & Related papers  (2020-10-23T12:17:38Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

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.