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EnglishUsing a similarity Hamiltonian renormalization procedure, we determine an effective spin-1/2 representation of the Bose-Hubbard model at half-integer filling and at a finite on-site interaction energy U. By means of bosonization, we are able to recast the effective Hamiltonian as that of a spin-1/2 XXZ magnetic chain with pertinently renormalized coupling and anisotropy parameters. We use this mapping to provide analytical estimates of the correlation functions of the Bose-Hubbard model. We then compare such results with those based on DMRG numerical simulations of the Bose-Hubbard model for various values of U and for a number L of lattice sites as low as L ~ 30. We find an excellent agreement up to 10\% between the output of analytical and numerical computations, even for relatively small values of U. Our analysis implies that, also at finite U, the 1D Bose-Hubbard model with suitably chosen parameters may be seen as a quantum simulator of the XXZ chain.
XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling / Giuliano, Domenico; Rossini, D; Sodano, P; Trombettoni, A.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 87(2013), pp. 035104-1-035104-15.
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| Titolo: | XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Rivista: | |
| Citazione: | XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling / Giuliano, Domenico; Rossini, D; Sodano, P; Trombettoni, A.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 87(2013), pp. 035104-1-035104-15. |
| Handle: | http://hdl.handle.net/20.500.11770/138742 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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