tVDiagonalizeParticleEntanglementEntropyEquilibrium

Equilibrium version of the ED code for the t-V model

Example

julia .\tVVp_Vdependence_q0R1PH1_IntF.jl --out "./out/" --tmp "./tmp/" --spatial --V-start -3.0 --V-end 3.0 --V-step 0.01 --t 1.0 --ee 1 24 12

Required julia packages:

• ArgParse
• Arpack
• MKL
• ProgressBars

Usage

julia tVVp_Vdependence_q0R1PH1_IntF.jl 
                    [--out FOLDER]
                    [--tmp FOLDER]
                    [--out-obdm FOLDER] 
                    [--g2] 
                    [--obdm]
                    [--spatial] 
                    [--skip-hoffdiag-saving]
                    [--skip-hoffdiag-loading] 
                    [--no-flush]
                    [--no-recompute-structure-matrix] 
                    [--pbc]
                    [--obc] 
                    [--V-start V_start] 
                    [--V-end V_end]
                    [--V-step V_step] 
                    [--V-list [V_LIST...]]
                    [--Vp Vp] 
                    [--t t] 
                    --ee ℓ M N

positional arguments	Description
M	number of sites (type: Int64)
N	number of particles (type: Int64)

optional arguments	Description
--out FOLDER	path to output folder
--tmp FOLDER	folder for hamiltonian storage location
--out-obdm FOLDER	folder for obdm storage location (if --obdm provided)
--out-obdm FOLDER	folder for obdm storage location (if --obdm provided)
--g2	output the pair correlation function ⟨ρ_iρ_0⟩
--obdm	output the spatial dependence of the OBDM
--spatial	output the spatial entanglement entropy for ℓ= M/2
--skip-hoffdiag-saving	do not save offdiagonal terms of Hamiltonian for V=0 (if already saved or should never be saved in combination with --skip-hoffdiag-loading)
--skip-hoffdiag-loading	do not load offdiagonal terms of Hamiltonian from V=0
--no-recompute-structure-matrix	only compute structure matrix once and keep it in memory (can cause memory problems for large systems but can speed up calculation)
--no-flush	do not flush write buffer to output files in after computation for each V
-h, --help	show help message and exit

boundary conditions	Description
--pbc	periodic boundary conditions (default)
--obc	open boundary conditions

tV parameters	Description
--V-start	start V (type: Float64, default: -2.0)
--V-end	end V (type: Float64, default: 2.0)
--V-step	step in V (type: Float64, default: 0.1)
--V-list	space separated list of interaction values, if set ignore other V params
--Vp	nnn interaction Vp (type: Float64, default: 0.0)
--t	t hopping value (type: Float64, default: 1.0)

entanglement entropy	Description
--ee ℓ	compute all EEs with partition size ℓ (type: Int64)