论文标题
控制驱动的哈伯德系统中的磁相关性远离半填充
Controlling magnetic correlations in a driven Hubbard system far from half-filling
论文作者
论文摘要
我们建议使用被困在T-J Hamiltonian的量子模拟器中的超声效率原子作为T-J Hamiltonian的量子模拟器，该原子描述了掺杂的抗fiferromagnets中的动力学，并被认为与Cuprates高度过度超导不导致的问题有关。我们在分析上表明，有效的哈密顿式描述该系统用于非恢复驾驶的是带有额外跳跃术语的T-J模型，其参数都可以由驱动器控制。然后，我们在数值上使用张量网络方法来证明1D晶格的缓慢修饰可以使系统从基础Hubbard模型的基态近绝热地传输到有效的T-J Hamiltonian的基态。最后，我们报告了确切的对角线化计算，说明了使用此技术采用当前冷原子量子模拟技术的2D晶格中旋转丝线对的控制。这些结果开辟了新的途径，以通过其超平衡动力学探索密度与旋转之间的相互作用和自旋之间的相互作用。
We propose using ultracold fermionic atoms trapped in a periodically shaken optical lattice as a quantum simulator of the t-J Hamiltonian, which describes the dynamics in doped antiferromagnets and is thought to be relevant to the problem of high-temperature superconductivity in the cuprates. We show analytically that the effective Hamiltonian describing this system for off-resonant driving is the t-J model with additional pair hopping terms, whose parameters can all be controlled by the drive. We then demonstrate numerically using tensor network methods for a 1D lattice that a slow modification of the driving strength allows near-adiabatic transfer of the system from the ground state of the underlying Hubbard model to the ground state of the effective t-J Hamiltonian. Finally, we report exact diagonalization calculations illustrating the control achievable on the dynamics of spin-singlet pairs in 2D lattices utilising this technique with current cold-atom quantum-simulation technology. These results open new routes to explore the interplay between density and spin in strongly-correlated fermionic systems through their out-of-equilibrium dynamics.
