Solution of Bose Hubbard model using ARPACK

  • Thread starter Thread starter Sayan Lahiri
  • Start date Start date
  • Tags Tags
    Hubbard Model
AI Thread Summary
The discussion revolves around solving a complex system involving 8 sites, each with 3 possible states, resulting in a large matrix of dimensions 6561x6561. The user is facing challenges with LAPACK, which performs well for matrices up to 3000x3000 but fails for larger sizes. They reference an example from ARPACK that addresses the central difference discretization of the 2-dimensional Laplacian with specific boundary conditions but are struggling to adapt the methodology to their own problem. The user seeks clarification on how to implement the ARPACK example effectively for their system.
Sayan Lahiri
Messages
2
Reaction score
0
Sir currently I am trying to solve a system which has 8 sites and each site can have 3 possible states(0 or 1 or 2).So the dimension of matrix is 6561*6561.The lapack works good till 3000*3000.But for larger system it fails.I have studied the dsdrv1.f example from arpack where they have solved the problem for central difference discretization of the 2-dimensional Laplacian on the unit square [0,1]x[0,1] with zero Dirichlet boundary condition.But I can not understand what changes i should make in my case.Please help
 
Technology news on Phys.org
I can not understand how to apply the example given in arpack
 
Can you give more details of what you are trying to do and what you have tried?
 

Thread 'Learning Assembly and computer architecture for x86'

Dear Peeps I have posted a few questions about programing on this sectio of the PF forum. I want to ask you veterans how you folks learn program in assembly and about computer architecture for the x86 family. In addition to finish learning C, I am also reading the book From bits to Gates to C and Beyond. In the book, it uses the mini LC3 assembly language. I also have books on assembly programming and computer architecture. The few famous ones i have are Computer Organization and...
View full post »

Thread 'Learning data structures and algorithms in different programming languages'

I have a quick questions. I am going through a book on C programming on my own. Afterwards, I plan to go through something call data structures and algorithms on my own also in C. I also need to learn C++, Matlab and for personal interest Haskell. For the two topic of data structures and algorithms, I understand there are standard ones across all programming languages. After learning it through C, what would be the biggest issue when trying to implement the same data...
View full post »

Similar threads

A Treatment of singlets in the Hubbard model
Replies
1
Views
1K
Eigenstate solution for a spin chain with Hubbard model
Replies
7
Views
3K
Python How Can I Fix the IndexError in My 2D Ising Model Simulation?
Replies
6
Views
5K
A How can modular forms be used in particle physics mass models?
Replies
7
Views
5K
RHS of Laplace's Equation is f(u(x,y))
Replies
3
Views
2K
Mathematics courses useful in engineering, data analysis and modeling
Replies
3
Views
2K
Programs How good is this applied math program?
Replies
13
Views
3K
A 1D Convection Diffusion Equation - Inlet Mixing Effect
Replies
7
Views
4K
Challenge Math Challenge - November 2018
4
Replies
175
Views
25K
Prospects of spin foam formalism in loop quantum gravity [Alexandrov, Roche]
Replies
9
Views
6K

Hot Threads

Recent Insights

Back
Top