#### Driven-Dissipative Dynamics of the Hubbard Model Attached to a Fermionic Bath

In this project, we created a code that was able to simulate the dynamics of a three site Hubbard model ring connected to an infinite dissipative bath and driven by…

In this project, we created a code that was able to simulate the dynamics of a three site Hubbard model ring connected to an infinite dissipative bath and driven by an electric field. We utilized the master equation approach, which will one day be able to be implemented efficiently on a quantum computer. For now we used classical computing to model one of the simplest nontrivial driven dissipative systems. This will serve as a verification of the master equation method and a baseline to test against when we are able to implement it on a quantum computer. For this report, we will mainly focus on classifying the DC component of the current around our ring. We notice several expected characteristics of this DC current including an inverse square tail at large values of the electric field and a linear response region at small values of the electric field.

**Contributors**

- Johnson, Michael (Author)
- Chamberlin, Ralph (Thesis director)
- Ritchie, Barry (Committee member)
- School of Mathematical and Statistical Sciences (Contributor)
- Department of Physics (Contributor)
- Barrett, The Honors College (Contributor)

**Created**

- 2020-05