755 reputation
417
bio website memoryformat.net
location Dresden, Germany
age 29
visits member for 1 year, 10 months
seen 2 hours ago

enthusiast


May
1
comment Exact diagonalization to resolve ground state degeneracies
The Lanczos algorithm may have trouble resolving states that are very close or degenerate in energy. Are you re-orthogonalizing the states you get in the Lanczos recursion process?
Apr
22
comment Numerical Tools to find Braiding Statistics of Quasiparticles
Again, to see how fractional exclusion statistics relates to your question, just read the answer. By the way, your question only points towards non-abelian statistics in a parenthesis. If you want answers ONLY on non-abelian states, then I suggest you edit your question.
Apr
22
comment Numerical Tools to find Braiding Statistics of Quasiparticles
Have you tried reading it? :) Seriously though, it is not clear why you fail to see how the answer relates to your question, so I can't make any edits to improve the answer. The answer gives you explicitly a recipe for getting the braiding statistics of the quasiparticles in Abelian FQH edges, which is one of the systems you are interested in.
Apr
21
answered Numerical Tools to find Braiding Statistics of Quasiparticles
Apr
5
comment Reciprocal Lattice of a non-bravais lattice
Yep. You can do the same for the hexagonal lattice with a base.
Apr
5
answered Reciprocal Lattice of a non-bravais lattice
Feb
14
awarded  Yearling
Oct
14
revised Notation: What is $\delta_{mn}$?
fixed typo
Oct
14
suggested approved edit on Notation: What is $\delta_{mn}$?
May
7
awarded  Commentator
May
7
comment Integer physics
I'd say that the fractional quantum-Hall effect has more interesting "integer" physics than the integer one. Plus, the IQHE is very well understood as a single-particle phenomenon. In the FQHE one has anyons with braiding & fusion properties, topological ground-state degeneracies described by patterns of ones and zeros and so on and so forth. Perhaps more "integer" physics examples there?
May
7
comment Integer physics
I was hoping for something more advanced or a topic of current research, perhaps elaborate a bit more on lattice field theory?
May
2
awarded  Student
May
2
asked Integer physics
Apr
30
comment Whis is the difference between charge fractionalization in 1D and 2D?
(Anti)holons in the Hubbard model are fractional excitations that are gapped, with the gap being of the order of the on-site repulsion $U$.
Apr
23
comment Some questions about anyons?
Each type of anyons will have a different exclusion principle, which can be something between the Pauli principle (1 particle per state) and bosons (any number of particles per state). You may find this article useful: iopscience.iop.org/0305-4470/27/11/009
Apr
23
comment Some questions about anyons?
Regarding (1), anyon means that the wavefunction describing a two- or many-anyon state picks up a phase other than a multiple of $\pi$ upon exchange of two particles. To define a Fock space (i.e. many-particle Hilbert space), one needs to attach exclusion statistics to the constituent particles, which will act as a generalized Pauli principle. If you do that, then yes, you can devise a second-quantized theory of anyons, because the occupation-number basis would be well defined.
Apr
13
awarded  Enthusiast
Apr
6
comment Math of eigenvalue problem in quantum mechanics
"How can you extract the information from $H=|a\rangle\langle b|+|b\rangle\langle a|$ so to get the off-diagonal matrix element to be 1?": What is the prefactor of $|b\rangle\langle a|$? Or, more precisely, what is $\langle b |H| a \rangle$ if $|a\rangle,|b\rangle$ are orthogonal?
Mar
30
revised What does the wavefunction of atom look like at low temperature?
edited body