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Article overview
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High-order strong-coupling expansion for the Bose-Hubbard model | Tao Wang
; Xue-Feng Zhang
; Chun-Feng Hou
; Sebastian Eggert
; Axel Pelster
; | Date: |
5 Jan 2018 | Abstract: | Based on the process-chain method, we work out in detail a high-order
strong-coupling expansion (HSCE) algorithm for determining the quantum phase
boundary between the Mott insulator and the superfluid phase of the
Bose-Hubbard model in different dimensions. A comparison with quantum
Monte-Carlo results reveals the high efficiency and accuracy of the HSCE. With
a symbolized evaluation of the algorithm we obtain an analytic expression for
the strong-coupling boundary for different fillings up to eighth order. A
subsequent Pad’e approximation then yields a scaling function, which rescales
lobes with different fillings to one lobe. As a further crosscheck, we perform
a hopping expansion of the phase boundaries obtained from the effective
potential Landau theory (EPLT) and find that the respective expansion
coefficients coincide with those of HSCE. | Source: | arXiv, 1801.1862 | Services: | Forum | Review | PDF | Favorites |
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