[ALPS-users] Conserve quantum number for composite unit cell

Matthias Troyer troyer at phys.ethz.ch
Tue Jan 17 19:42:48 CET 2017


You need to define a new combined quantum number, which is changed by the training and lowering operators for both types of particles.


> On 17 Jan 2017, at 08:54, Michele Dolfi <dolfim at phys.ethz.ch> wrote:
> 
> I hope somebody else could give you a better answer, but I don’t think this is possible out of the box, and I’m not 100% sure it is at all possible in the way you think about it.
> 
> What I would try is away to play around with a new model definition where you make a composite quantum number explicit.
> The "fermion Hubbard” and “alternative fermion Hubbard” could be of inspiration for how to conserve N and/or Sz instead of Nup and/or Ndown.
> 
> 
> Best,
> Michele
> 
> 
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>> On Jan 17, 2017, at 4:10 PM, Axel Gagge <axel.gagge at fysik.su.se <mailto:axel.gagge at fysik.su.se>> wrote:
>> 
>> ​Hello, I just wanted to ask if it is possible to preserve a combination of quantum numbers such as the total number of excitations:
>> 
>> N = \sum_{bosonic sites} n_j + 1/2 \sum_{spinful sites} s_z
>> 
>> and what the syntax for this would be? I guess that one option would be to define a new quantum number and let Splus raise it by 1/2 but I just thought that I would check this with you first!
>> 
>> Otherwise, thank you for an excellent library! I have had no problems so far with the new release.
>> 
>> Thanks,
>> /Axel Gagge
>> First year PhD Student, Stockholm University
>> 
>> 
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