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 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.

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.

scholarly journals Dependence of the Many-Body Interaction Strength in Water Clusters (H2O)n on the Water-Water Distance

2015 ◽  
Vol 31 (12) ◽  
pp. 2285-2293
Author(s):  
Wei. YANG ◽  
◽  
Xiao-Lei. LI ◽  
Chang-Sheng. WANG
Keyword(s):  
Water Clusters ◽  
Interaction Strength ◽  
Many Body ◽  
Body Interaction ◽  
The Many

On the many-body theory of nuclear reactions

1968 ◽  
Vol 111 (1) ◽  
pp. 392-416 ◽  
Author(s):  
K DIETRICH ◽  
K HARA
Keyword(s):  
Nuclear Reactions ◽  
Many Body ◽  
Many Body Theory ◽  
The Many ◽  
Body Theory

Revealing the many-body interactions and valley-polarization behavior in Re-doped MoS2 monolayers

2021 ◽  
Vol 118 (11) ◽  
pp. 113101
Author(s):  
Xiaoli Zhu ◽  
Siting Ding ◽  
Lihui Li ◽  
Ying Jiang ◽  
Biyuan Zheng ◽  
...  
Keyword(s):  
Many Body ◽  
Polarization Behavior ◽  
Valley Polarization ◽  
Mos2 Monolayers ◽  
The Many ◽  
Many Body Interactions

scholarly journals Entangling Lattice-Trapped Bosons with a Free Impurity: Impact on Stationary and Dynamical Properties

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 290
Author(s):  
Maxim Pyzh ◽  
Kevin Keiler ◽  
Simeon I. Mistakidis ◽  
Peter Schmelcher
Keyword(s):  
Structural Changes ◽  
Many Body ◽  
Wide Range ◽  
Entropy Measures ◽  
Particle Level ◽  
The Many ◽  
The One ◽  
Tunneling Dynamics ◽  
The Individual ◽  
Trapped Bosons

We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite system to structural changes due to the intercomponent coupling. We analyze the overall response at the many-body level and contrast it to the single-particle level. By inspecting different entropy measures we capture the degree of entanglement and intraspecies correlations for a wide range of intra- and intercomponent interactions and lattice depths. We also spatially resolve the imprint of the entanglement on the one- and two-body density distributions showcasing that it accelerates the phase separation process or acts against spatial localization for repulsive and attractive intercomponent interactions, respectively. The many-body effects on the tunneling dynamics of the individual components, resulting from their counterflow, are also discussed. The tunneling period of the impurity is very sensitive to the value of the impurity-medium coupling due to its effective dressing by the few-body medium. Our work provides implications for engineering localized structures in correlated impurity settings using species selective optical potentials.

scholarly journals Universal relations for ultracold reactive molecules

2020 ◽  
Vol 6 (51) ◽  
pp. eabd4699
Author(s):  
Mingyuan He ◽  
Chenwei Lv ◽  
Hai-Qing Lin ◽  
Qi Zhou
Keyword(s):  
Critical Role ◽  
Interaction Strength ◽  
Quantum Correlations ◽  
Polar Molecules ◽  
Many Body ◽  
Density Correlation ◽  
Ultracold Polar Molecules ◽  
Unexplored Area ◽  
Many Body Systems

The realization of ultracold polar molecules in laboratories has pushed physics and chemistry to new realms. In particular, these polar molecules offer scientists unprecedented opportunities to explore chemical reactions in the ultracold regime where quantum effects become profound. However, a key question about how two-body losses depend on quantum correlations in interacting many-body systems remains open so far. Here, we present a number of universal relations that directly connect two-body losses to other physical observables, including the momentum distribution and density correlation functions. These relations, which are valid for arbitrary microscopic parameters, such as the particle number, the temperature, and the interaction strength, unfold the critical role of contacts, a fundamental quantity of dilute quantum systems, in determining the reaction rate of quantum reactive molecules in a many-body environment. Our work opens the door to an unexplored area intertwining quantum chemistry; atomic, molecular, and optical physics; and condensed matter physics.

scholarly journals On the Many-Body Expansion of an Interaction Energy of Some Supramolecular Halogen-Containing Capsules

Molecules ◽  
2021 ◽  
Vol 26 (15) ◽  
pp. 4431
Author(s):  
Jiří Czernek ◽  
Jiří Brus
Keyword(s):  
Density Functional ◽  
Condensed Phases ◽  
Multicomponent Mixtures ◽  
Many Body ◽  
Symmetric Form ◽  
Functional Theory ◽  
Emergent Features ◽  
The Many ◽  
Surprising Fact ◽  
Dimethyl Benzene

A tetramer model was investigated of a remarkably stable iodine-containing supramolecular capsule that was most recently characterized by other authors, who described emergent features of the capsule’s formation. In an attempt to address the surprising fact that no strong pair-wise interactions between any of the respective components were experimentally detected in condensed phases, the DFT (density-functional theory) computational model was used to decompose the total stabilization energy as a sum of two-, three- and four-body contributions. This model considers complexes formed between either iodine or bromine and the crucial D4h-symmetric form of octaaryl macrocyclic compound cyclo[8](1,3-(4,6-dimethyl)benzene that is surrounded by arenes of a suitable size, namely, either corannulene or coronene. A significant enthalpic gain associated with the formation of investigated tetramers was revealed. Furthermore, it is shown that the total stabilization of these complexes is dominated by binary interactions. Based on these findings, comments are made regarding the experimentally observed behavior of related multicomponent mixtures.

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