Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics
arXiv:2002.00812 · doi:10.1103/PhysRevB.102.024440
Abstract
We investigate the wavepacket 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 new opportunities for real-time, real-space imaging of quantum magnets both in materials science and in quantum simulators.
arXiv comment10 pages, 8 figures; title changed with respect to previous version
References in corpus (40)
- Many-Body Physics with Ultracold Gases
- Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- A Mott insulator of fermionic atoms in an optical lattice
- Quantum walks of correlated particles
- Quantum walks: a comprehensive review
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Realizing a lattice spin model with polar molecules
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Single-Spin Addressing in an Atomic Mott Insulator
- Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Realization of a quantum walk with one and two trapped ions
- Quantum walk of a trapped ion in phase space
- Microscopic observation of magnon bound states and their dynamics
- Strongly Correlated Quantum Walks in Optical Lattices
- Single-atom imaging of fermions in a quantum-gas microscope
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Fractional excitations in the square-lattice quantum antiferromagnet
- Ultrafast and reversible control of the exchange interaction in Mott insulators
- Ultrafast energy and momentum resolved dynamics of magnetic correlations in photo-doped Mott insulator SrIrO
- Imaging and addressing of individual fermionic atoms in an optical lattice
- Anomalous density fluctuations in a strange metal
- NetKet: A Machine Learning Toolkit for Many-Body Quantum Systems
- Quantum Walk of Two Interacting Bosons
- Spin transport in Heisenberg antiferromagnets
- Floquet Engineering in Quantum Chains
- Field-induced decay dynamics in square-lattice antiferromagnet
- Two bosonic quantum walkers in one-dimensional optical lattices
- Dynamical structure factor of quasi-2D antiferromagnet in high fields
- Real-Space Visualization of Remnant Mott Gap and Magnon Excitations
- Floquet-engineered light-cone spreading of correlations in a driven quantum chain
- Quantum walks of interacting Mott insulator defects with three-body interactions
- Ultrafast dynamics of entanglement in Heisenberg antiferromagnets
Cited by in corpus (4)
- Signatures of non-trivial pairing in the quantum walk of two-component bosons
- Correlations in few two-component quantum walkers on a tilted lattice
- Two component quantum walk in one-dimensional lattice with hopping imbalance
- From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions