.png){kind=icon}
返回
Sorting Fermionization from Crystallization in Many-Boson Wavefunctions
.png){kind=icon}
OA
AI
DOI：10.1038/s41598-019-53179-1.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Fermionization is what happens to the state of strongly interacting repulsive bosons interacting with contact interactions in one spatial dimension. Crystallization is what happens for sufficiently strongly interacting repulsive bosons with dipolar interactions in one spatial dimension. Crystallization and fermionization resemble each other: in both cases - due to their repulsion - the bosons try to minimize their spatial overlap. We trace these two hallmark phases of strongly correlated one-dimensional bosonic systems by exploring their ground state properties using the one- and two-body density matrix. We solve the N-body Schrodinger equation accurately and from first principles using the multiconfigurational time-dependent Hartree for bosons (MCTDHB) and for fermions (MCTDHF) methods. Using the one- and two-body density, fermionization can be distinguished from crystallization in position space. For N interacting bosons, a splitting into an N-fold pattern in the one-body and two-body density is a unique feature of both, fermionization and crystallization. We demonstrate that this splitting is incomplete for fermionized bosons and restricted by the confinement potential. This incomplete splitting is a consequence of the convergence of the energy in the limit of infinite repulsion and is in agreement with complementary results that we obtain for fermions using MCTDHF. For crystalline bosons, in contrast, the splitting is complete: the interaction energy is capable of overcoming the confinement potential. Our results suggest that the spreading of the density as a function of the dipolar interaction strength diverges as a power law. We describe how to distinguish fermionization from crystallization experimentally from measurements of the one- and two-body density.
Keyword:
EINSTEIN CONDENSATE
PARTICLE
SYSTEMS
PHASE
GAS
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.9
论文数:
28.0W
被引数:
83.5W
机构
引用论文
Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions两个被困量子粒子通过有限范围软核相互作用的精确可解模型.png)
SCIENTIFIC REPORTSOAAI
SCIENTIFIC REPORTSIF3.9
OAAI分享收藏Phytoremediation potential and control of Phragmites australis as a green phytomass: an overview
PREAI
分享收藏Slow differential rotation of the Earth's inner core indicated by temporal changes in scatteringNature
NatureIF0
PREAI
分享收藏3D-hierarchical MoSe
2
nanoarchitecture as a highly efficient electrocatalyst for hydrogen evolution2D Materials
2D MaterialsIF0
PREAI
分享收藏
查看更多内容