期刊
ENTROPY
卷 24, 期 2, 页码 -出版社
MDPI
DOI: 10.3390/e24020265
关键词
quantum phases; quasicrystals; trapped bosons; superfluidity; path-integral Monte Carlo
资金
- CNPq [311079/2015-6]
- CAPES [Serra-1812-27802]
This work explores methodology for investigating interacting systems with contact interactions, introducing a class of zonal estimators for path-integral Monte Carlo methods aimed at providing physical information about limited regions of inhomogeneous systems. The usefulness of zonal estimators is demonstrated through their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of potential values. Finally, the generalization of such estimators to local fluctuations of particle numbers and magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions is discussed.
In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to local fluctuations of the particle numbers and to magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions.
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