scholarly journals Learning quantum phase transitions through topological data analysis

2021 ◽  
Vol 104 (23) ◽  
Author(s):  
Andrea Tirelli ◽  
Natanael C. Costa
Keyword(s):  
Phase Transitions ◽  
Data Analysis ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Topological Data Analysis ◽  
Topological Data

scholarly journals Topological Data Analysis of Collective and Individual Epithelial Cells using Persistent Homology of Loops

Soft Matter ◽  
2021 ◽  
Author(s):  
Dhananjay Bhaskar ◽  
William Y Zhang ◽  
Ian Y Wong
Keyword(s):  
Phase Transitions ◽  
Data Analysis ◽  
Epithelial Cells ◽  
Persistent Homology ◽  
A Priori ◽  
Topological Data Analysis ◽  
A Priori Information ◽  
Priori Information ◽  
Topological Data

Interacting, self-propelled particles such as epithelial cells can dynamically self-organize into complex multicellular patterns, which are challenging to classify without \emph{a priori} information. Classically, different phases and phase transitions have...

Quantum phase transitions

2004 ◽  
Vol 174 (8) ◽  
pp. 853 ◽  
Author(s):  
Sergei M. Stishov
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Magnetic Field- and Pressure-Induced Quantum Phase Transitions in NH4CuCl3

2005 ◽  
Vol 159 ◽  
pp. 241-245 ◽  
Author(s):  
Masashi Fujisawa ◽  
Budhy Kurniawan ◽  
Toshio Ono ◽  
Hidekazu Tanaka
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

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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