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

Piotr Wrzosek; Krzysztof Wohlfeld; Damian Hofmann; Tomasz Sowinski; Michael A. Sentef

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

机译：量子步行与古典波：通过时空动态区分量子磁铁的地面

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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.

机译：我们在原型二维铁磁和反铁磁量子旋转系统中的单旋转翻转后调查波包扩展。我们发现特征空间氧元密度曲线：虽然铁磁素表示反射底层晶格结构的方形图案，如由量子步行者所展示的，所示的圆形图案，其隐藏着晶格结构并类似于经典波浪模式。我们追溯这些根本不同的行为恢复了明显不同的肉质能量动量分散关系，也提供了真实空间的解释。我们的调查结果指出了材料科学和量子模拟器中量子磁铁的实时现实空间成像的机会。

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《Physical review》 |2020年第2期|024440.1-024440.9|共9页
作者
Piotr Wrzosek; Krzysztof Wohlfeld; Damian Hofmann; Tomasz Sowinski; Michael A. Sentef;
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Faculty of Physics University of Warsaw Pasteura 5 PL-02093 Warsaw Poland;

Faculty of Physics University of Warsaw Pasteura 5 PL-02093 Warsaw Poland;

Max Planck Institute for the Structure and Dynamics of Matter Luruper Chaussee 149 D-22761 Hamburg Germany;

Institute of Physics Polish Academy of Sciences Aleja Lotnikow 32/46 PL-02668 Warsaw Poland;

Max Planck Institute for the Structure and Dynamics of Matter Luruper Chaussee 149 D-22761 Hamburg Germany;

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1. Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics [J] . Wrzosek Piotr, Wohlfeld Krzysztof, Hofmann Damian, Physical review, B . 2020,第2期

机译：量子步行与古典波：通过时空动态区分量子磁铁的地面
2. Correlated Quantum Walks In Optical Lattices, Holographic Quantum Error-Correcting Codes, Valence-Bond States And Weak Nonlinearities, Entangled Microwave Photon States, Photon Emission From A Cavity-Coupled Double Quantum Dot, Classical Simulation Of Qua [J] . K.N.P. Kumar Advances in Physics Theories and Applications . 2013,第4期

机译：光学晶格中的相关量子游动，全息量子纠错码，价键态和弱非线性，纠缠的微波光子态，腔耦合双量子点的光子发射，Qua的经典模拟
3. Correlated Quantum Walks In Optical Lattices, Holographic Quantum Error-Correcting Codes, Valence-Bond States And Weak Nonlinearities, Entangled Microwave Photon States, Photon Emission From A Cavity-Coupled Double Quantum Dot, Classical Simulation Of Qua [J] . K.N.P. Kumar Advances in Physics Theories and Applications . 2013,第2期

机译：光学晶格中的相关量子游动，全息量子纠错码，价键态和弱非线性，纠缠的微波光子态，腔耦合双量子点的光子发射，Qua的经典模拟
4. Classical versus quantum dynamical chaos: Sensitivity to external perturbations, stability and reversibility [C] . Valentin V. Sokolov, Oleg V. Zhirov, Yaroslav A. Kharkov International Conference on Chaotic Modeling, Simulation, and Applications . 2011

机译：古典与量子动态混沌：对外部扰动，稳定性和可逆性的敏感性
5. Classical and quantum dynamics of atomic systems in the proximity of dielectric waveguides. [D] . Modoran, Andrei V. 2006

机译：介电波导附近原子系统的经典动力学和量子动力学。
6. Quantum walks and wavepacket dynamics on a lattice with twisted photons [O] . Filippo Cardano, Francesco Massa, Hammam Qassim, 2015

机译：光子扭曲的量子行走和波包动力学
7. Quantum-classical dynamical distance and quantumness of quantum walks [O] . Valentina Gualtieri, Claudia Benedetti, Matteo G. A. Paris 2020

机译：量子 - 古典动力学距离和量子散步
8. Dynamics of the Interaction Between Classical and Quantum Systems and the Reduction of the Wave Packet [R] . Amaral, C. M., Joffily, S. 1985

机译：经典与量子系统相互作用的动力学与波包的减少

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

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