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 work, we study the entanglement scaling of states residing in different energetic regions of a 2D HCBH lattice. The Bose–Hubbard model is particle-number conserving, allowing its energy spectrum to be partitioned into sectors with definite particle numbern. The ‘hard-core’ condition ar...
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 ...
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 ...