Bose-Hubbard Model with Long-Range Hopping

• Main Authors: Shen, Po-Chin, 沈柏晉
• Other Authors: Chen, Pochung
• Format: Others
• Language: en_US
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/asx75q

碩士 === 國立清華大學 === 物理學系 === 106 === We study long-range orders in one-dimensional Bose-Hubbard model with power-law long-range hoppings. We measure the correlation and the winding numbers of hardcore bosons in one-dimension ring using quantum Monte Carlo simulations to calculate the condensate fraction and the superfluid density. On the other hand, we calculate the Entanglement entropy of open boundary zero-temperature ground states via density matrix renormalization group to estimate the central charge of the system.