Journal
PHYSICAL REVIEW B
Volume 87, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.87.075413
Keywords
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Funding
- Austrian Science Fund (FWF) [P20748-N16, P24273-N16, SFB F40-FoQus F4012-N16]
- European Union (NAMEQUAM)
- Austrian Ministry of Science BMWF, the UniInfrastrukturprogramm of the Research Platform Scientific Computing at the University of Innsbruck
- Austrian Science Fund (FWF) [P 24273] Funding Source: researchfish
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We present several improvements of the infinite matrix product state (iMPS) algorithm for finding ground states of one-dimensional quantum systems with long-range interactions. As a main ingredient, we introduce the superposed multioptimization method, which allows an efficient optimization of exponentially many MPS of different lengths at different sites all in one step. Here, the algorithm becomes protected against position-dependent effects as caused by spontaneously broken translational invariance. So far, these have been a major obstacle to convergence for the iMPS algorithm if no prior knowledge of the system's translational symmetry was accessible. Further, we investigate some more general methods to speed up calculations and improve convergence, which might be partially interesting in a much broader context, too. As a more special problem, we also look into translational invariant states close to an invariance-breaking phase transition and show how to avoid convergence into wrong local minima for such systems. Finally, we apply these methods to polar bosons with long-range interactions. We calculate several detailed Devil's staircases with the corresponding phase diagrams and investigate some supersolid properties. DOI: 10.1103/PhysRevB.87.075413
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