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cnborja / Floquet-Fourier-approach

Python scripts to calculate and plot the quasienergy spectra from the time-independent Floquet hamiltonian of physical systems
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Some Problem #1

Open Jefffirst opened 2 years ago

Jefffirst commented 2 years ago

Sir，is this method universal? Or this Floquet-Fourier-approach can be used in 2D SSH Mode?

Jefffirst commented 2 years ago

Sir,you can send email to me if you want to reply to me,i think i need your help,because i am research this Floquet-Fourier-approach now.My email：nc_lc@email.ncu.edu.cn

cnborja commented 2 years ago

Hi! The method is universal. Indeed it can work with a 2D SSH mode. You need to define the "FreeHamiltonian" and "ModulatedHamiltonian" functions (in the code) accordingly to your system. These are 2x2 matrices the later dependending on time, and the former independing on time.

Hope this help. Do not hesitate to contact me again.

Jefffirst commented 2 years ago

Sir, I'm glad you can reply to me.I received your email a few hours ago.Is my understanding of that theory correct?The core formula of this method is as follows:

        Second,I used this Floquet Fourier method to simulate other articles and made mistakes（I successfully understood your one-dimensional SSH code and transformed it into matlab code）,The DOI number of the article is: 10.1038/NPHOTON.2012.236.       I searched the database, it seems that there are other Floquet methods, such as differential Floquet method. And there are two results, one is the effective Hamiltonian, the other  one is the Floquet Hamiltonian.Sorry, there may be so many problems,but do you know how to solve them?Thank you very much.       Best wishes to you!                                                                                                                                        2021.9.26

    ------------------ Original ------------------ From: "Carla N. Borja Espinosa"; Date: 2021年9月26日(星期天) 上午7:51 To: "cnborja/Floquet-Fourier-approach"; Cc: "Jefffirst"; "Author"; Subject: Re: [cnborja/Floquet-Fourier-approach] Some Problem (#1)

 

Hi! The method is universal. Indeed it can work with a 2D SSH mode. You need to define the "FreeHamiltonian" and "ModulatedHamiltonian" functions (in the code) accordingly to your system. These are 2x2 matrices the later dependending on time, and the former independing on time.

Hope this help. Do not hesitate to contact me again.

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