Abstract
Continuous variable entanglement between magnon modes in Heisenberg antiferromagnet with Dzyaloshinskii-Moryia (DM) interaction is examined. Different bosonic modes are identified, which allows to establish a hierarchy of magnon entanglement in the ground state. We argue that entanglement between magnon modes is determined by a simple lattice specific factor, together with the ratio of the strengths of the DM and Heisenberg exchange interactions, and that magnon entanglement can be detected by means of quantum homodyne techniques. As an illustration of the relevance of our findings for possible entanglement experiments in the solid state, a typical antiferromagnet with the perovskite crystal structure is considered, and it is shown that long wave length magnon modes have the highest degree of entanglement.
Highlights
Quantum entanglement allows particles to act as a single nonseparable entity, no matter how far apart they are
We argue that entanglement between magnon modes is determined by a simple lattice-specific parameter, together with the ratio of the strengths of the DM and Heisenberg exchange interactions, and that magnon entanglement can be detected by means of quantum homodyne techniques
In the analysis of different bosonic modes, we notice different types of twomode magnon entanglement residing in the ground state
Summary
Quantum entanglement allows particles to act as a single nonseparable entity, no matter how far apart they are. The original form of the EPR argument is closely related to continuous variable (CV) entanglement [2,3,4], which describes entanglement between bosonic modes Such systems are characterized by an infinite number of allowed states, which makes them different from the finitedimensional Hilbert spaces associated with discrete variable (e.g., qubit) systems. Magnons, which are the focus of this investigation, are collective wavelike excitations of a magnet with a well-established quantum nature [10]. They can be found in an energy range of up to ∼500 meV, and with wavelengths spanning a range of hundreds of lattice constants to just a few. Just like for photons [12], magnon states can be represented in terms of different physically natural collective modes and, for some of these, nontrivial entanglement is possible
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