Search found 6 matches

by Ash_Mad
22 Oct 2022, 12:44
Forum: HowTos and FAQ for TeNPy
Topic: Bose-Hubbard Model Single Particle Excitation Gap
Replies: 2
Views: 1743

Re: Bose-Hubbard Model Single Particle Excitation Gap

One suggestion I can give is that you first keep the density fixed( say \rho=1 ). Start with some system size(say L=40). Then find E_0 (N+1),E_0 (N),E_0(N-1) . N=\rho \times L . Find \mu^{+} , \mu^{-} . Now keep increasing the system size and correspondingly find \mu^{+} , \mu^{-} . Extrapolate for ...
by Ash_Mad
27 Apr 2021, 14:16
Forum: HowTos and FAQ for TeNPy
Topic: Neutral Energy Gap in the extended Boson Hubbard Model
Replies: 4
Views: 2730

Re: Neutral Energy Gap in the extended Boson Hubbard Model

Thank you for your suggestion. I will try this method
by Ash_Mad
27 Apr 2021, 07:30
Forum: HowTos and FAQ for TeNPy
Topic: Neutral Energy Gap in the extended Boson Hubbard Model
Replies: 4
Views: 2730

Re: Neutral Energy Gap in the extended Boson Hubbard Model

My model is softcore bosons. For computational purposes, I have truncated the Hilbert space to a maximum of two bosons per site. Also, do I have to find the correlation length only for the ground state or for both the ground state and excited state of the system? I am unable to understand how the co...
by Ash_Mad
18 Apr 2021, 05:54
Forum: HowTos and FAQ for TeNPy
Topic: Neutral Energy Gap in the extended Boson Hubbard Model
Replies: 4
Views: 2730

Neutral Energy Gap in the extended Boson Hubbard Model

I am trying to evaluate the neutral energy gap of the extended Boson Hubbard model in one dimension. (Neutral Energy Gap = E_n = E^{1}_N - E^{0}_N ) where E^{1}(N) is the energy of the first excited state of the hamiltonian and E^{0}(N) is the ground state energy. N is the number of Bosons in the sy...
by Ash_Mad
15 Apr 2021, 17:14
Forum: Implementations
Topic: Keeping number of particles fixed at edges
Replies: 1
Views: 6918

Keeping number of particles fixed at edges

I am currently trying to calculate the charge gap E_c = E^{0}(N+1) + E^{0}(N-1) - 2 E^{0}(N) and the neutral gap E_n = E^{1}(N) - E^{0}(N) of the extended Boson Hubbard model in one dimension. ( E^{1}(N) is the energy of the first excited state , E^{0}(N) is the energy of the ground state. N is the ...
by Ash_Mad
14 Apr 2021, 18:35
Forum: HowTos and FAQ for TeNPy
Topic: Excited states using tenpy
Replies: 13
Views: 7858

Re: Excited states using tenpy

If the energies of the eigenstates are greater than 0, how do we then find the excited states and their corresponding energies?