How to distinguish fermionized bosons from noninteracting fermions through one-body and two-body density

Fermionization is what happens when repulsive interacting bosons in one spatial dimension feel infinite interaction. Due to their strong repulsion the bosons try to minimize their spatial overlap like the fermions. Fermionized bosons and noninteracting fermions resemble each other and we trace these...

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Bibliographic Details
Main Authors: Bera, Sangita, Roy, Rhombik, Chakrabarti, Barnali
Format: Conference Proceeding
Language:English
Subjects:
Bosons
Density
Fermions
First principles
Schrodinger equation
Time dependence
Online Access:Get full text
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Summary:Fermionization is what happens when repulsive interacting bosons in one spatial dimension feel infinite interaction. Due to their strong repulsion the bosons try to minimize their spatial overlap like the fermions. Fermionized bosons and noninteracting fermions resemble each other and we trace these similarities of strongly correlated one-dimensional bosonic systems and fermionic system by exploring their ground state properties using the one- and two-body density matrix in coordinate space. We solve the N-body Schrödinger equation accurately and from first principles using the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method. Using the one- and two-body density in momentum space, fermionized bosons can be distinguished from noninteracting fermions.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5090251