Accounting for Quantum Effects in Atomistic Spin Dynamics
- URL: http://arxiv.org/abs/2305.17082v2
- Date: Sat, 4 May 2024 18:30:47 GMT
- Title: Accounting for Quantum Effects in Atomistic Spin Dynamics
- Authors: Marco Berritta, Stefano Scali, Federico Cerisola, Janet Anders,
- Abstract summary: Atomistic spin dynamics (ASD) is a standard tool to model the magnetization dynamics of a variety of materials.
We present two approaches to effectively incorporate quantum effects into ASD simulations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Atomistic spin dynamics (ASD) is a standard tool to model the magnetization dynamics of a variety of materials. The fundamental dynamical model underlying ASD is entirely classical. In this paper, we present two approaches to effectively incorporate quantum effects into ASD simulations, thus enhancing their low temperature predictions. The first allows to simulate the magnetic behavior of a quantum spin system by solving the equations of motion of a classical spin system at an effective temperature relative to the critical temperature. This effective temperature is determined a priori from the microscopic properties of the system. The second approach is based on a \semi model where classical spins interact with an environment with a quantum-like power spectrum. The parameters that characterize this model can be calculated ab initio or extracted from experiments. This semi-classical model quantitatively reproduces the absolute temperature behavior of a magnetic system, thus accounting for the quantum mechanical aspects of its dynamics, even at low temperature. The methods presented here can be readily implemented in current ASD simulations with no additional complexity cost.
Related papers
- 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) - Amorphous quantum magnets in a two-dimensional Rydberg atom array [44.99833362998488]
We propose to explore amorphous quantum magnets with an analog quantum simulator.
We first present an algorithm to generate amorphous quantum magnets, suitable for Rydberg simulators of the Ising model.
We then use semiclassical approaches to get a preliminary insight of the physics of the model.
arXiv Detail & Related papers (2024-02-05T10:07:10Z) - Finding the Dynamics of an Integrable Quantum Many-Body System via
Machine Learning [0.0]
We study the dynamics of the Gaudin magnet ("central-spin model") using machine-learning methods.
Motivated in part by this intuition, we use a neural-network representation for each variational eigenstate of the model Hamiltonian.
Having an efficient description of this susceptibility opens the door to improved characterization and quantum control procedures for qubits interacting with an environment of quantum two-level systems.
arXiv Detail & Related papers (2023-07-06T21:49:01Z) - A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
Mixed Weyl symbol is used to describe brain processes at the microscopic level.
Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically.
Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
arXiv Detail & Related papers (2023-01-17T15:16:21Z) - Finite temperature tensor network algorithm for frustrated
two-dimensional quantum materials [0.6299766708197883]
We introduce the infinite projected entangled simplex operator ansatz to study thermodynamic properties.
To obtain state-of-the-art benchmarking results, we explore the highly challenging spin-1/2 Heisenberg anti-ferromagnet on the Kagome lattice.
We compare the magnetization curve of this material in the presence of an external magnetic field at finite temperature with classically simulated data.
arXiv Detail & Related papers (2022-10-31T20:15:00Z) - Open quantum dynamics theory for a complex subenvironment system with a
quantum thermostat: Application to a spin heat bath [0.0]
Complex environments, such as molecular matrices and biological material, play a fundamental role in many important dynamic processes in condensed phases.
We describe the dynamics of a two-level system that interacts with a subenvironment consisting of a one-dimensional $XXZ$ spin chain.
The hierarchical Schr"odinger equations of motion are employed to describe the quantum thermostat, allowing time-irreversible simulations of the dynamics at arbitrary temperature.
arXiv Detail & Related papers (2021-11-26T00:06:17Z) - Quantum simulation of non-equilibrium dynamics and thermalization in the
Schwinger model [0.0]
We present simulations of non-equilibrium dynamics of quantum field theories on digital quantum computers.
We consider the Schwinger model, a 1+1 dimensional U(1) gauge theory, coupled through a Yukawa-type interaction to a thermal environment.
arXiv Detail & Related papers (2021-06-15T19:48:05Z) - Evolution of a Non-Hermitian Quantum Single-Molecule Junction at
Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments.
We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z) - Simulating quantum vibronic dynamics at finite temperatures with many
body wave functions at 0K [0.0]
We present numerical simulations that exploit a recent theoretical result that allows dissipative environmental effects at finite temperature to be extracted efficiently from a single, zero-temperature wave function simulation.
We provide insight into the practical problems lurking behind the elegance of the theory, such as the rapidly growing numerical demands that can appear for high temperatures over the length of computations.
arXiv Detail & Related papers (2021-01-04T17:15:16Z) - Spin Entanglement and Magnetic Competition via Long-range Interactions
in Spinor Quantum Optical Lattices [62.997667081978825]
We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter.
We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios.
These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
arXiv Detail & Related papers (2020-11-16T08:03:44Z) - 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.