Bose-Hubbard Model with Long-Range Hopping
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 fracti...
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| Format: | Others |
| Language: | en_US |
| Published: |
2018
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| Online Access: | http://ndltd.ncl.edu.tw/handle/asx75q |
| Summary: | 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.
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