Cluster Monte Carlo Algorithms for Dissipative Quantum Phase Transitions

2010 ◽  
pp. 551-574
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Monte Carlo Algorithms ◽  
Cluster Monte Carlo

CLUSTER MONTE CARLO ALGORITHMS IN STATISTICAL MECHANICS

1992 ◽  
Vol 03 (01) ◽  
pp. 209-212 ◽  
Author(s):  
JIAN-SHENG WANG
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
Statistical Mechanics ◽  
Computer Time ◽  
Second Order ◽  
Monte Carlo Algorithms ◽  
Cluster Monte Carlo

The cluster Monte Carlo method, where variables are updated in groups, is very efficient at second order phase transitions. Much better results can be obtained with less computer time. This article reviews the method of Swendsen and Wang and some of its applications.

scholarly journals Quantum phase transitions in the spin-boson model: Monte Carlo method versus variational approach à la Feynman

2020 ◽  
Vol 101 (18) ◽  
Author(s):  
G. De Filippis ◽  
A. de Candia ◽  
L. M. Cangemi ◽  
M. Sassetti ◽  
R. Fazio ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
Variational Approach ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Boson Model

scholarly journals Quantum phase transitions on the hexagonal lattice

2021 ◽  
pp. 2141003
Author(s):  
Dominik Smith ◽  
Pavel Buividovich ◽  
Michael Körner ◽  
Maksim Ulybyshev ◽  
Lorenz von Smekal
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Simulations ◽  
First Principles ◽  
Present Status ◽  
Phase Structure ◽  
Quantum Phase Transitions ◽  
Hexagonal Lattice ◽  
Quantum Phase ◽  
Hybrid Monte Carlo

Hubbard-type models on the hexagonal lattice are of great interest, as they provide realistic descriptions of graphene and other related materials. Hybrid Monte Carlo simulations offer a first-principles approach to study their phase structure. Here, we review the present status of our work in this direction.

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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