Abstract
We study the unitary time evolution of antiferromagnetic order in the Hubbard model after a quench starting from the perfect Néel state. In this setup, which is well suited for experiments with cold atoms, one can distinguish fundamentally different pathways for melting of long-range order at weak and strong interaction. In the Mott insulating regime, melting of long-range order occurs due to the ultrafast transfer of energy from charge excitations to the spin background, while local magnetic moments and their exchange coupling persist during the process. The latter can be demonstrated by a local spin-precession experiment. At weak interaction, local moments decay along with the long-range order. The dynamics is governed by residual quasiparticles, which are reflected in oscillations of the off-diagonal components of the momentum distribution. Such oscillations provide an alternative route to study the prethermalization phenomenon and its influence on the dynamics away from the integrable (noninteracting) limit. The Hubbard model is solved within nonequilibrium dynamical mean-field theory, using the density-matrix renormalization group as an impurity solver.
- Received 13 April 2015
DOI:https://doi.org/10.1103/PhysRevX.5.031039
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Published by the American Physical Society
Popular Summary
Symmetry-broken states such as magnetic order and superconductivity are the hallmark of complex properties in solids. An intriguing new direction in condensed-matter physics is to manipulate these properties on the fastest possible time scales using ultrashort laser pulses. Theoretically, however, the collective many-particle dynamics that is responsible for the formation and melting of long-range order is associated with many open questions.
Here, we combine two state-of-the-art numerical techniques—time-dependent density matrix renormalization group and nonequilibrium dynamical mean-field theory—to create a model system that represents interacting electrons on a bipartite lattice in which electrons can tunnel between sites. We prepare this model such that particles on neighboring sites initially align their magnetic moments in an antiparallel manner (i.e., representing antiferromagnetic order). The particles can then move between lattice sites, which leads to the melting of the magnetic order. We theoretically show that the precise movement mechanism depends strongly on the interaction between the particles: For strong interactions, the system behaves like a collection of localized magnetic moments. For weak interactions, on the other hand, the dynamics reflects the existence of coherent quasiparticles, which are typically restricted to excitations close to the ground state. In our case, these quasiparticles prevail on short times even though the system is strongly excited.
Our setup, which is well suited for experiments using cold atoms, has the ability to reveal the crossover between localized and itinerant behavior. In the future, similar studies of systems with several active orbitals may make it possible to better understand how complex solids can relax into entirely new—and possibly thermodynamically hidden—phases.