We specifically analyze real-time dynamics of the two-dimensional Bose-Hubbard model after a sudden quench starting from the Mott insulator by means of the tensor-network method based on infinite projected entangled pair states. Calculated single-particle correlation functions are found to be in good...
Here, we show how to realize the two-dimensional (2D) hard-core Bose–Hubbard model (HCB) illustrated in Fig. 1 using an array of transmon qubits21, the current workhorse qubit design in superconducting circuits. The HCB is a strongly interacting system that displays some of the critical pro...
In this paper, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a dipole-moment conserving Bose-Hubbard model in one dimension. For integer boson fillings, we perform a mapping of the system to a model of microscopic local dipoles, which are ...
Bose-Hubbard modelOptical latticeTensor networkTime-evolving block decimationA system of ultracold atoms in an optical lattice represents a powerful experimental setup for testing the fundamentals of quantum mechanics. While its microscopic interaction mechanisms are well understood, the system behavior for ...
Screening effects reduce the hopping even further and eventually motivate the common restriction of tij in the Bose–Hubbard model to just nearest neighbors. The potential physical significance of long-range hopping has motivated experimentalists in recent years to realize at least effectively hopping ...
Second renormalization of tensor-network states. Phys. Rev. Lett. 103, 160601 (2009). Article ADS CAS Google Scholar Zhao, H. H. et al. Renormalization of tensor-network states. Phys. Rev. B 81, 174411 (2010). Article ADS Google Scholar Jarell, M. Hubbard model in infinite ...