Search found 422 matches
- 16 Apr 2024, 10:15
- Forum: HowTos and FAQ for TeNPy
- Topic: Transfer matrix is incorrect without imposing canonical form
- Replies: 1
- Views: 39
Re: Transfer matrix is incorrect without imposing canonical form
If you need to_matrix, why don't you implement that function directly on the existing transfer matrix? To get a consistent result, all tensor which you extract *need* to be in the same canonical form, e.g. all right-canonical 'B' form. After a plain DMRG run (without a call of psi.canonical_form() i...
- 10 Apr 2024, 17:42
- Forum: HowTos and FAQ for TeNPy
- Topic: How can I construct a canonical infinite-temperature state with fixed total number of fermions ?
- Replies: 1
- Views: 37203
Re: How can I construct a canonical infinite-temperature state with fixed total number of fermions ?
I guess the answer is a bit late, but for those finding this in the future: it should just work like this: In [10]: M = tenpy.FermiHubbardModel(dict(L=10, cons_Sz='Sz', cons_N='N')) In [11]: M.lat.unit_cell[0].leg.chinfo Out[11]: ChargeInfo([1, 1], ['N', '2*Sz']) In [12]: psi = tenpy.PurificationMPS...
- 10 Apr 2024, 17:29
- Forum: HowTos and FAQ for TeNPy
- Topic: Three-site fermionic operator in systems of spinless fermions
- Replies: 1
- Views: 36
Re: Three-site fermionic operator in systems of spinless fermions
The error comes because you try to add a term with 3 fermionic operators - this would require an open Jordan wigner string when mapping to spins, and thus be a non-local operator. More generally, you can't write physical Hamiltonians with an odd number of fermionic operators, because they violate lo...
- 10 Apr 2024, 17:04
- Forum: HowTos and FAQ for TeNPy
- Topic: The EE is different for different initial setup
- Replies: 1
- Views: 35803
Re: The EE is different for different initial setup
This is equivalent to the Su-Schrieffer-Heger (SSH) chain, which has a topolgical phase with edge modes. Given that your filename starts with ssh_, I assume you're familiar with that. the XXZChan has Sz conservation by default. That means if you fix the initial state to be in a particular Sz charge ...
- 10 Apr 2024, 16:50
- Forum: HowTos and FAQ for TeNPy
- Topic: Asimmetry in trivial 2D expansion using TDVP
- Replies: 2
- Views: 27674
Re: Asimmetry in trivial 2D expansion using TDVP
This reminds me of one of my first work on tensor networks, 1509.00696 - using back then new W_II method that we now have in the ExpMPOEvolution in TeNPy :-) While the Hamiltonian is symmetric under exchange of x/y, the MPS snaking through the square lattice explicitly breaks it - hopping in y-direc...
- 10 Apr 2024, 16:16
- Forum: HowTos and FAQ for TeNPy
- Topic: Strange timing data for DMRG applied to Fermi-Hubbard model
- Replies: 1
- Views: 30
Re: Strange timing data for DMRG applied to Fermi-Hubbard model
To reliably benchmark DMRG, I recommend to pin the number of sweeps by setting min_sweeps=max_sweeps to some fixed number - the total run time is just proportional to the number of sweeps, and how many sweeps it does can sometimes depend on subtle differences in convergence thresholds. Indeed, your ...
- 10 Apr 2024, 15:42
- Forum: HowTos and FAQ for TeNPy
- Topic: How to improve calculation accuracy in real time evolution ?
- Replies: 1
- Views: 37
Re: How to improve calculation accuracy in real time evolution ?
Tenpy also tries to solve the schrlödinger equation... I guess you compared to exact evolution for a non-interacting system, or exact diagonalization? TDVP does the time evolution with the effective Hamiltonian, i.e. H projected onto the local single-site/two-site MPO. If you have only bond dimensio...
- 10 Apr 2024, 15:17
- Forum: HowTos and FAQ for TeNPy
- Topic: Compressing an MPO
- Replies: 1
- Views: 36
Re: Compressing an MPO
At the moment, we don't have this implemented in TeNPy. For finite MPS and small enough systems, you can indeed do this with a simple SVD compression. But for larger and in particular infinite MPS/MPOs, there's some subtleties in doing this, because the MPO is in a Jordan-block form. See 1909.06341 ...
- 10 Apr 2024, 15:11
- Forum: HowTos and FAQ for TeNPy
- Topic: Correlators using iDMRG
- Replies: 1
- Views: 30
Re: Correlators using iDMRG
Yes, even if the MPS unit cell is 2, you can have correlations in the MPS way beyond those 2 sites. You can for example call correlation_function with sites2=range(50) to calculate correlations up to site 50, or term_correlation_function_right . And yes, you can also extract the central charge by a ...
- 10 Apr 2024, 15:00
- Forum: HowTos and FAQ for TeNPy
- Topic: Tensor network implementations for transformers and LLMs
- Replies: 1
- Views: 28
Re: Tensor network implementations for transformers and LLMs
No. TeNPy is focusing on the simulation of condensed matter physics.
- 10 Apr 2024, 14:58
- Forum: HowTos and FAQ for TeNPy
- Topic: How to add couplings correctly for iDMRG?
- Replies: 1
- Views: 29
Re: How to add couplings correctly for iDMRG?
First of all, let me clarify, also for those finding this question later: The system purely 1D / we ignore the y direction, right? I.e. when we talk about periodic boundary conditions, we don't talk about wrapping things on a cylinder or torus or plane, but about a chain (open boundary conditions, O...
- 10 Apr 2024, 14:07
- Forum: HowTos and FAQ for TeNPy
- Topic: Finding ground states of finite systems with fast vanishing gap
- Replies: 1
- Views: 542
Re: Finding ground states of finite systems with fast vanishing gap
When you need chi=256 for L=8, you apparently have local hilbert space dimension of 4 - is it a spin-full fermion site? Do you have any charge conservation/symmetries in general? DMRG should usually be able to converge L=32/64 pretty easily. One issue you can have though are close to exact degenerac...
- 10 Apr 2024, 13:14
- Forum: HowTos and FAQ for TeNPy
- Topic: Implementing XXZ model with finite DMRG
- Replies: 1
- Views: 36022
Re: Implementing XXZ model with finite DMRG
1. Yes - as noted in the comment at the top of the xxz_chain.py implementation. 2. You can always go back in the git history and find it there with git log --all -- examples/xxz_groundstate.py which brings up d1dccf29ee50899451ea95931c5f4216efae8e56 .' 3. For finite, critical 1D systems, the famouse...
- 10 Apr 2024, 12:40
- Forum: Implementations
- Topic: Error bar in the calculated entanglement spectrum
- Replies: 1
- Views: 165
Re: Error bar in the calculated entanglement spectrum
Whit error bar you mean "what values do I consider degenerate"? Don't choose that value too small based on what the norm error is: the error in the entanglement spectrum depends drastically on how high the value is. If you plot the full spectrum up to the chi_max, the highest values in the...
- 10 Apr 2024, 12:10
- Forum: Implementations
- Topic: fully connected model
- Replies: 1
- Views: 14
Re: fully connected model
Disclaimer: You already said that MPS are not a good idea for this kind of model... That said, I can point you to you misunderstanding: the add_coupling method is for adding a bunch of terms at once, all of the form \sum_i J_{i, i+dx} A_i B_{i+dx} . You want to add a single term A_i B_j , which is w...
- 12 Jan 2024, 11:10
- Forum: Algorithms
- Topic: Choosing dt for time evolve
- Replies: 1
- Views: 11902
Re: Choosing dt for time evolve
There's no simple, generic rule how large/small dt has to be to ensure convergence, I'm somewhat alarmed by the "periodic boundary conditions". By default, in TeNPy this would just give you one (or ~Ly, if you have a 2D torus) very long-range couplings between the ends of the MPS. Both TDV...
- 12 Jan 2024, 10:34
- Forum: HowTos and FAQ for TeNPy
- Topic: How do I calculate an MPO using an iMPS
- Replies: 1
- Views: 12275
Re: How do I calculate an MPO using an iMPS
This is ill-defined for infinite systems: The overlap \braket{s | t} for any two iMPS which do not represent exactly the same state goes to 0 in the the thermodynamic limit (or to infinity, if you don't have normalized MPS.). Also, you generally don't want to write down "cat state" superpo...
- 23 Nov 2023, 08:31
- Forum: HowTos and FAQ for TeNPy
- Topic: How to realize SU(2) symmetric DMRG?
- Replies: 2
- Views: 16558
Re: How to realize SU(2) symmetric DMRG?
You should be able to get to significantly larger system sizes even on desktops. Typical run times range from several hours up to a couple of days (up to one or two weeks) on typical desktops / single-node cluster machines, depending on what's available to you. The usual geometry of choice are long,...
- 22 Nov 2023, 11:22
- Forum: HowTos and FAQ for TeNPy
- Topic: Installation TenPy on Windows with pip
- Replies: 1
- Views: 13881
Re: Installation TenPy on Windows with pip
I'm afraid we can't help much there. How did you install Python? For windows, in my experience the anaconda suite works best, for which you should be able to directly install the corresponding physics-tenpy conda package rather than install it from source. Can you import numpy directly from within y...
- 22 Nov 2023, 11:04
- Forum: HowTos and FAQ for TeNPy
- Topic: How to compute inner product of finite MPS with another finite MPS translated by n sites.
- Replies: 2
- Views: 15477
Re: How to compute inner product of finite MPS with another finite MPS translated by n sites.
The picture you drew above is also not an inner product with the remaining open legs - do you think about closing those as well? That would mean that T is the translation operator with *periodic* boundary conditions. It's not too hard to contract all of this on the tensor level, though. I started wr...
- 22 Nov 2023, 09:55
- Forum: HowTos and FAQ for TeNPy
- Topic: How to build a pure entangled initial state
- Replies: 2
- Views: 15052
Re: How to build a pure entangled initial state
Indeed, Markus is right that singlets are only one example of entangled states. But they're only entangled on pairs of sites, so for more than 2 sites they're "product states" again. Really, you need to clarify which entangled state you want - there are plenty. For example, you could also ...
- 31 Oct 2023, 14:02
- Forum: Implementations
- Topic: Entanglement Entropy for len(segment)>20
- Replies: 1
- Views: 25854
Re: Entanglement Entropy for len(segment)>20
There is a good reason for this, since it's exponentially expensive with the number of sites L in the segment, both in memory \mathcal{O}(d^{2L}) and CPU time \mathcal{O}(d^{3L}) ! Each additional site quadruples your computational cost. If you're reaching that limit, it might be better to use the e...
- 31 Oct 2023, 13:49
- Forum: HowTos and FAQ for TeNPy
- Topic: How to model anisotropic exchange J, single-ion anisotropy and DMI for DMRG?
- Replies: 3
- Views: 17014
Re: How to model anisotropic exchange J, single-ion anisotropy and DMI for DMRG?
Yes, for the DM interaction, you need to write out the cross product explicitly and add the Dx/Dy/Dz terms separately. Note that you got the signs in the cross product wrong, c.f. the code below. Again, I'm not sure if I understood correctly - it seems you want the D to depend on which pairs of NN y...
- 26 Oct 2023, 15:31
- Forum: HowTos and FAQ for TeNPy
- Topic: W-state as MPS
- Replies: 3
- Views: 16831
Re: W-state as MPS
The XX model has charge conservation of total Sz. In the zero-particle sector, you can map it exactly to a single-particle fermion hopping, and the ground state is the W state. However, this is not true in the sector of higher filling when you have peridoic boundary conditions: for the coupling goin...
- 25 Oct 2023, 15:15
- Forum: HowTos and FAQ for TeNPy
- Topic: W-state as MPS
- Replies: 3
- Views: 16831
Re: W-state as MPS
You can write this analytically as a bond-dimension 2 MPS. You can see that you need bond dimension 2, since you always have either exactly one or no 1 on the left/right of any of the two cuts (between the first two sites, or the second two sites). The Schmidt decomposition between the last two site...