JangMilad
- 1
- 0
Hi all,
I'm working on a numerical simulation involving the SSH model and the density matrix formalism. I'm using annihilation and creation operators at the first site, denoted by [itex]a_1[/itex] and [itex]a_1^\dagger[/itex], and I'm trying to understand how to construct and compute expressions like:
[tex]a_1 \rho a_1^\dagger[/tex]
[tex]a_1^\dagger \rho a_1[/tex]
where [itex]\rho[/itex] is the density matrix of the system.
My goal is to implement this numerically. I would appreciate any insights on:
How to define the annihilation/creation operators for a lattice model like SSH.
The physical meaning of the above expressions (e.g., in the context of Lindblad dissipators).
Any tips or references for constructing these operators explicitly in matrix form.
Thanks in advance for your help!
I'm working on a numerical simulation involving the SSH model and the density matrix formalism. I'm using annihilation and creation operators at the first site, denoted by [itex]a_1[/itex] and [itex]a_1^\dagger[/itex], and I'm trying to understand how to construct and compute expressions like:
[tex]a_1 \rho a_1^\dagger[/tex]
[tex]a_1^\dagger \rho a_1[/tex]
where [itex]\rho[/itex] is the density matrix of the system.
My goal is to implement this numerically. I would appreciate any insights on:
How to define the annihilation/creation operators for a lattice model like SSH.
The physical meaning of the above expressions (e.g., in the context of Lindblad dissipators).
Any tips or references for constructing these operators explicitly in matrix form.
Thanks in advance for your help!