Decoherence wave in magnetic systems and creation of Néel antiferromagnetic state by measurement
arXiv:1602.04703 · doi:10.1103/PhysRevB.93.184426
Abstract
The interplay between the singlet ground state of the antiferromagnetic Heisenberg model and the experimentally measured Néel state of antiferromagnets is studied. To verify the hypothesis [M. I. Katsnelson et al., Phys. Rev. B 63, 212404 (2001)] that the latter can be considered to be a result of local measurements destroying the entanglement of the quantum ground state, we have performed systematic simulations of the effects of von Neumannmeasurements for the case of a one-dimensional antiferromagnetic spin-1/2 system for various types and degrees of magnetic anisotropies. It is found that in the ground state, a magnetization measurement can create decoherence waves [M. I. Katsnelson et al. Phys. Rev. A 62, 022118 (2000)] in the magnetic sublattices, and that a symmetry breaking anisotropy does not lead to alignment of the spins in a particular direction. However, for an easy-axis anisotropy of the same order magnitude as the exchange constant, a measurement on the singlet ground state can create Néel-ordering in finite systems of experimentally accessible size.
References in corpus (20)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Non-local propagation of correlations in long-range interacting quantum systems
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
- Understanding quantum measurement from the solution of dynamical models
- Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
- Reduction of ordered moment and Neel temperature of quasi one-dimensional antiferromagnets Sr2CuO3 and Ca2CuO3
- An efficient scheme for numerical simulations of the spin-bath decoherence
- Atomic spin chain realization of a model for quantum criticality
- Spin wave imaging in atomically designed nanomagnets
- A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states
- Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
- Parity effect in ground state localization of antiferromagnetic chains coupled to a ferromagnet
- Computational Methods for Simulating Quantum Computers
- The emergence of classical behavior in magnetic adatoms
- Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
- Nonequilibrium work and entropy production by quantum projective measurements
- Propagation of local decohering action in distributed quantum systems
- Neel state of antiferromagnet as a result of a local measurement in the distributed quantum system
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- Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
- From locality to irregularity: Introducing local quenches in massive scalar field theory
- Stability of Quantum Statistical Ensembles with Respect to Local Measurements
- Antiferromagnetic order without recourse to staggered fields
- Bridging Quantum and Classical Descriptions of Spin Dynamics in a Dzyaloshinsky-Moriya Trimer