Reconstruction of classical skyrmions from Anderson towers: quantum Darwinism in action
arXiv:2210.03922 · doi:10.1103/PhysRevX.13.041027
Abstract
The development of the quantum skyrmion concept is aimed at expanding the scope of the fundamental research and practical applications for classical topologically-protected magnetic textures, and potentially paves the way for creating new quantum technologies. Undoubtedly, this calls for establishing a connection between a classical skyrmion and its quantum counterpart: a skyrmion wave function is an intrinsically more complex object than a non-collinear configuration of classical spins representing the classical skyrmion. Up to date, such a quantum-classical relation was only established on the level of different physical observables, but not for classical and quantum states per se. In this work, we show that the classical skyrmion spin order can be reconstructed using only the low-energy part of the spectrum of the corresponding quantum spin Hamiltonian. This can be done by means of a flexible symmetry-free numerical realization of Anderson's idea of the towers of states (TOS) that allows one to study known, as well as unknown, classical spin configurations with a proper choice of the loss function. We show that the existence of the TOS in the spectrum of the quantum systems does not guarantee a priori that the classical skyrmion magnetization profile can be obtained as an outcome of the actual measurement. This procedure should be complemented by a proper decoherence mechanism due to the interaction with the environment. The later selects a specific combination of the TOS eigenfunctions before the measurement and, thus, ensures the transition from a highly-entangled quantum skyrmionic state to a classical non-collinear magnetic order that is measured in real experiments. The results obtained in the context of skyrmions allow us to take a fresh look at the problem of quantum antiferromagnetism.
arXiv comment15 pages, 10 figures
References in corpus (37)
- Decoherence, einselection, and the quantum origins of the classical
- Solving the Quantum Many-Body Problem with Artificial Neural Networks
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Quantum Darwinism
- The 2020 Skyrmionics Roadmap
- Understanding quantum measurement from the solution of dynamical models
- Neural Quantum States of frustrated magnets: generalization and sign structure
- Towards a Theory of Evolution as Multilevel Learning
- Quantum skyrmions in frustrated ferromagnets
- Multi-scale structural complexity of natural patterns
- Magnetic particle-antiparticle creation and annihilation
- Dynamical and Reversible Control of Topological Spin Textures
- Supervised learning magnetic skyrmion phases
- Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
- quantum Heisenberg antiferromagnet on the triangular lattice: a group symmetry analysis of order by disorder
- Sublattice Coding Algorithm and Distributed Memory Parallelization for Large-Scale Exact Diagonalizations of Quantum Many-Body Systems
- Detecting spontaneous symmetry breaking in finite-size spectra of frustrated quantum antiferromagnets
- Probing the topology of the quantum analog of a classical skyrmion
- Controlled Creation of Quantum Skyrmions
- Quantum Skyrmion Lattices in Heisenberg Ferromagnets
- Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
- Quantum fluctuations in the order parameter of quantum skyrmion crystals
- lattice-symmetries: A package for working with quantum many-body bases
- Certification of quantum states with hidden structure of their bitstrings
- Propagation of local decohering action in distributed quantum systems
- Profile approach for recognition of three-dimensional magnetic structures
- Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
- A DMI guide to magnets micro-world
- Heisenberg-exchange-free nanoskyrmion mosaic
- Decoherence wave in magnetic systems and creation of Néel antiferromagnetic state by measurement
- A model for individual quantal nano-skyrmions
- Overlap integral for quantum skyrmions
- Quantum dynamics of a small symmetry breaking measurement device
- Quantum States of a Skyrmion in a 2D Antiferromagnet
- Antiferromagnetic order without recourse to staggered fields
Cited by in corpus (9)
- Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
- Quantum and classical magnetic Bloch points
- All product eigenstates in Heisenberg models from a graphical construction
- Exploring entanglement in finite-size quantum systems with degenerate ground state
- Skyrmionic qubits stabilized by Dzyaloshinskii-Moriya interaction as platforms for qubits and quantum gates
- Skyrmionic Schrödinger cat states in monoaxial chiral magnets
- Metrological approach to the emergence of classical objectivity
- Brute-force positivization of model ground states
- Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior