All Questions
Tagged with algorithms statistical-mechanics
11
questions
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Any quantum Monte-Carlo algorithm for calculating the lowest eigenenergy in each symmetry sector?
Suppose we have a hamiltonian which has the parity symmetry (e.g., the Heisenberg model with the open boundary condition). Is there any quantum Monte-Carlo algorithm which can be used to calculate the ...
- 1,957
3
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2
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172
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About how to calculate observables in Quantum Monte Carlo with complex weights
I'm rewriting a Diagrammatic Quantum Monte Carlo algorithm following Werner, P., Oka, T., & Millis, A. J. (2009). Diagrammatic Monte Carlo simulation of nonequilibrium systems. Physical Review B, ...
- 165
2
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54
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Is there a proof for critical slow-down in Monte Carlo?
It is physically understood why the standard Metropolis-Hasting algorithm slows down near the critical temperature, since it doesn’t utilize the divergence of the correlation length. However, I’m ...
- 2,123
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Simplest quantum Monte-Carlo method for the Bose-Hubbard model
I want to use quantum Monte-Carlo results to benchmark an algorithm for the Bose-Hubbard model. There are so many QMC methods in the market, so which one is the simplest one? I want the ground state ...
- 1,957
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1
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Why does the chain be at equilibrium in the MH algorithm?
I'm implementing the Metropolis algorithm to solve the 2D Ising model. I've understood how to implement it and now I'm trying to understand a bit of how the algorithm works. In the site I'm reading it ...
- 185
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Metropolis Algorithm Transition-Proposal Probability
I'm working my way through a short section on the Metropolis algorithm in the lecture notes on Computational Quantum Physics by Prof. Troyer.
However, I am not sure what probability distribution was ...
- 485
3
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1
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84
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Markov Process in Monte Carlo simulation
I am trying to understand the detailed balance condition precisely.
To get it I went on this page : https://cs.adelaide.edu.au/~paulc/teaching/montecarlo/node22.html
It is written the following :
...
- 1,450
3
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1
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Physical meaning behind the choice of the proposal distribution in Markov Chain Monte Carlo (MCMC) methods
Let us consider the conventions on names used in the theoretical derivation of Metropolis-Hastings Monte Carlo as outlined here, for the sake of common nomenclature.
What we are building is a step-...
- 93
2
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1
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448
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Calculating the temperature in Creutz algorithm
Creutz algorithm is, as far as I know, a less popular Monte Carlo algorithm than the Metropolis algorithm - both are statistical mechanics algorithms.
In one of his papers, Creutz shows his algorithm ...
- 315
2
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1
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Numerical Ising Model: Swendsen–Wang algorithm, Percolation theory?
When you look at the original paper of Swendsen and Wang in 1987: "Nonuniversal critical dynamics in Monte Carlo simulations" it is somewhat mentioned that the proposed algorithm uses percolation ...
- 293
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Graph Invariants and Statistical Mechanics
Many intuitive knot invariants including Jones' polynomial are inspired by statistical mechanics. Further profound connections have been explored between knot theory and statistical mechanics. I was ...
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