scholarly journals Finite-temperature fluid–insulator transition of strongly interacting 1D disordered bosons

2016 ◽  
Vol 113 (31) ◽  
pp. E4455-E4459 ◽  
Author(s):  
Vincent P. Michal ◽  
Igor L. Aleiner ◽  
Boris L. Altshuler ◽  
Georgy V. Shlyapnikov
Keyword(s):  
Finite Temperature ◽  
Weak Interactions ◽  
Interaction Strength ◽  
Insulator Transition ◽  
Temperature Behavior ◽  
Many Body ◽  
One Dimensional ◽  
Strongly Interacting ◽  
Full Picture ◽  
The Many

We consider the many-body localization–delocalization transition for strongly interacting one-dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two insulator–fluid transitions at any finite temperature when varying the interaction strength. At weak interactions, an increase in the interaction strength leads to insulator → fluid transition, and, for large interactions, there is a reentrance to the insulator regime. It is feasible to experimentally verify these predictions by tuning the interaction strength with the use of Feshbach or confinement-induced resonances, for example, in 7Li or 39K.

Effects of atomic species and interatomic distance on the interactions in one-dimensional nanomaterials

2019 ◽  
Vol 21 (46) ◽  
pp. 25889-25895
Author(s):  
Yi-Fan Bu ◽  
Ming Zhao ◽  
Yun Chen ◽  
Wang Gao ◽  
Qing Jiang
Keyword(s):  
Interatomic Distance ◽  
Many Body ◽  
One Dimensional ◽  
Atomic Species ◽  
Many Body Effects ◽  
The Many

The many-body effects of vdW interactions within 1D wires vary with the interatomic distance of wires and atomic species.

Systematic study of persistent currents in small systems: geometry and interactions

1998 ◽  
Vol 76 (3) ◽  
pp. 173-182
Author(s):  
B L Johnson ◽  
G Kirczenow
Keyword(s):  
Interaction Strength ◽  
Persistent Current ◽  
Qualitative Character ◽  
Dimensional Model ◽  
Many Body ◽  
Persistent Currents ◽  
Site Disorder ◽  
Disorder Potential ◽  
The Many ◽  
Diagonal Disorder

The persistent current is calculated via an exact numerical diagonalization technique for both one- and two-dimensional-model geometries, with an emphasis on the effects of interactions. We find that the interactions can enhance the persistent current for the case of strong diagonal disorder by screening the on-site disorder potential. The screening effect is demonstrated by showing that for a particular configuration of disorder the many-body ground-state, which, for strong disorder, in the absence of interactions will fully occupy only the lowest energy sites, becomes more homogeneous with increasing interaction strength. We also show that the persistent-current vs.flux curves take on the qualitative character of the noninteracting, no-disorder curves for the same structure and filling, which is consistent with the screening mechanism.PACS Nos. 71.10.+x,31.10.+z

scholarly journals Sorting Fermionization from Crystallization in Many-Boson Wavefunctions

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
S. Bera ◽  
B. Chakrabarti ◽  
A. Gammal ◽  
M. C. Tsatsos ◽  
M. L. Lekala ◽  
...  
Keyword(s):  
Interaction Strength ◽  
Dipolar Interaction ◽  
Spatial Dimension ◽  
Strongly Correlated ◽  
Body Density ◽  
One Dimensional ◽  
Confinement Potential ◽  
Strongly Interacting ◽  
The One ◽  
Infinite Repulsion

AbstractFermionization 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 Schrödinger 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.

scholarly journals Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Jakub Kopyciński ◽  
Maciej Łebek ◽  
Maciej Marciniak ◽  
Rafał Ołdziejewski ◽  
Wojciech Górecki ◽  
...  
Keyword(s):  
Interaction Strength ◽  
Limited Range ◽  
Short Wave ◽  
Pitaevskii Equation ◽  
Type I ◽  
Many Body ◽  
One Dimensional ◽  
Hydrodynamic Approach ◽  
Numerical Minimization ◽  
Good Agreement

Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a hydrodynamic approach. We use linearization to study particle (type-I) excitations and numerical minimization to study hole (type-II) excitations. We observe a good agreement between our approach and exact solutions of the Lieb-Liniger model for the particle modes and discrepancies for the hole modes. Therefore, the hydrodynamical equations find to be useful for long-wave structures like phonons and of a limited range of applicability for short-wave ones like narrow solitons. We discuss potential further applications of the method.

scholarly journals Many-body blow-up profile of boson stars with external potentials

2019 ◽  
Vol 31 (10) ◽  
pp. 1950034 ◽  
Author(s):  
Dinh-Thi Nguyen
Keyword(s):  
Ground State ◽  
State Energy ◽  
Blow Up ◽  
Interaction Strength ◽  
Coupling Constant ◽  
Many Body ◽  
Boson Stars ◽  
The Many ◽  
Chandrasekhar Limit ◽  
Strength Formula

We consider a 3D quantum system of [Formula: see text] identical bosons in a trapping potential [Formula: see text], with [Formula: see text], interacting via a Newton potential with an attractive interaction strength [Formula: see text]. For a fixed large [Formula: see text] and the coupling constant [Formula: see text] smaller than a critical value [Formula: see text] (Chandrasekhar limit mass), in an appropriate sense, the many-body system admits a ground state. We investigate the blow-up behavior of the ground state energy as well as the ground states when [Formula: see text] approaches [Formula: see text] sufficiently slowly in the limit [Formula: see text]. The blow-up profile is given by the Gagliardo–Nirenberg solutions.

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