Quantum walk versus classical wave: Distinguishing ground states of quantum 
magnets by spacetime dynamics

Wrzosek, P.; Wohlfeld, K.; Hofmann, D.; Sowiński, T.; Sentef, M.

doi:10.1103/PhysRevB.102.024440

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Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics

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Hofmann, D.
International Max Planck Research School for Ultrafast Imaging & Structural Dynamics (IMPRS-UFAST), Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

Sentef, M.
Theoretical Description of Pump-Probe Spectroscopies in Solids, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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https://dx.doi.org/10.1103/PhysRevB.102.024440
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https://arxiv.org/abs/2002.00812
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PhysRevB.102.024440.pdf
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Citation

Wrzosek, P., Wohlfeld, K., Hofmann, D., Sowiński, T., & Sentef, M. (2020). Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics. Physical Review B, 102(2): 024440. doi:10.1103/PhysRevB.102.024440.

Cite as: https://hdl.handle.net/21.11116/0000-0006-D194-6

Abstract

We investigate wave packet spreading after a single spin flip in prototypical two-dimensional ferromagnetic and antiferromagnetic quantum spin systems. We find characteristic spatial magnon density profiles: While the ferromagnet shows a square-shaped pattern reflecting the underlying lattice structure, as exhibited by quantum walkers, the antiferromagnet shows a circular-shaped pattern which hides the lattice structure and instead resembles a classical wave pattern. We trace these fundamentally different behaviors back to the distinctly different magnon energy-momentum dispersion relations and also provide a real-space interpretation. Our findings point to opportunities for real-time, real-space imaging of quantum magnets both in materials science and in quantum simulators.