First order and critical point phase transitions in cooperative assemblies with many-body interactions: some exact results

We revisit the phase diagram of spin-1 su(2)_ksu(2)k anyonic chains, originally studied by Gils et. al. . These chains possess several integrable points, which were overlooked (or only briefly considered) so far.Exploiting integrability through a combination of algebraic techniques and exact Bethe ansatz results, we establish in particular the presence of new first order phase transitions, a new critical point described by a Z_kZk parafermionic CFT, and of even more phases than originally conjectured. Our results leave room for yet more progress in the understanding of spin-1 anyonic chains.

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Data-Driven Many-Body Models with Chemical Accuracy for CH4/H2O Mixtures

10.26434/chemrxiv.13013057 ◽

2020 ◽

Author(s):

Marc Riera ◽

Alan Hirales ◽

Raja Ghosh ◽

Francesco Paesani

Keyword(s):

Liquid Phase ◽

Quantitative Description ◽

Liquid Mixtures ◽

Many Body ◽

Energy Functions ◽

Potential Energy Functions ◽

Dynamics Simulations ◽

Body Potential ◽

Small Clusters ◽

Many Body Interactions

<div> <div> <div> <p>Many-body potential energy functions (PEFs) based on the TTM-nrg and MB-nrg theoretical/computational frameworks are developed from coupled cluster reference data for neat methane and mixed methane/water systems. It is shown that that the MB-nrg PEFs achieve subchemical accuracy in the representation of individual many-body effects in small clusters and enables predictive simulations from the gas to the liquid phase. Analysis of structural properties calculated from molecular dynamics simulations of liquid methane and methane/water mixtures using both TTM-nrg and MB-nrg PEFs indicates that, while accounting for polarization effects is important for a correct description of many-body interactions in the liquid phase, an accurate representation of short-range interactions, as provided by the MB-nrg PEFs, is necessary for a quantitative description of the local solvation structure in liquid mixtures. </p> </div> </div> </div>

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Fast (Parallel) Algorithms for Spherical Transforms and Many-Body Interactions with Applications in Electrostratics, Image Processing and Chemistry

10.21236/ada387330 ◽

2001 ◽

Author(s):

S. L. Johnsson ◽

Dragan Mirkovic

Keyword(s):

Image Processing ◽

Parallel Algorithms ◽

Many Body ◽

Spherical Transforms ◽

Many Body Interactions

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Localization and many-body interactions in the quantum Hall effect determined by polarized optical emission

Physical Review B ◽

10.1103/physrevb.44.4006 ◽

1991 ◽

Vol 44 (8) ◽

pp. 4006-4009 ◽

Cited By ~ 41

Author(s):

B. B. Goldberg ◽

D. Heiman ◽

M. Dahl ◽

A. Pinczuk ◽

L. Pfeiffer ◽

...

Keyword(s):

Hall Effect ◽

Quantum Hall Effect ◽

Quantum Hall ◽

Optical Emission ◽

Many Body ◽

Many Body Interactions

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Chiral Waveguide Optomechanics: First Order Quantum Phase Transitions with Z3 Symmetry Breaking

Physical Review Letters ◽

10.1103/physrevlett.125.263606 ◽

2020 ◽

Vol 125 (26) ◽

Author(s):

D. D. Sedov ◽

V. K. Kozin ◽

I. V. Iorsh

Keyword(s):

Phase Transitions ◽

Symmetry Breaking ◽

Quantum Phase Transitions ◽

Quantum Phase ◽

First Order

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Interaction between Different Kinds of Quantum Phase Transitions

Quantum Reports ◽

10.3390/quantum3020015 ◽

2021 ◽

Vol 3 (2) ◽

pp. 253-261

Author(s):

Angel Ricardo Plastino ◽

Gustavo Luis Ferri ◽

Angelo Plastino

Keyword(s):

Phase Transitions ◽

Nuclear Physics ◽

Body Problem ◽

Quantum Phase Transitions ◽

Quantum Phase ◽

Exactly Solvable Models ◽

Solvable Models ◽

Many Body ◽

Pairing Interaction ◽

Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

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