### Abstract

The auxiliary master equation approach [1,2] allows for an accurate and efficient treatment of correlated impurities out of equilibrium. The method is based upon a mapping onto an auxiliary open quantum system in which the impurity is coupled to bath orbitals as well as to a Markovian environment. The intervening auxiliary orbitals allow for a treatment of non-Markovian dynamics at the impurity. The time dependence of this auxiliary system is controlled by a Lindblad master equation whose parameters are used to optimize the mapping, which becomes exponentially exact upon increasing the number of bath orbitals [3]. Green's functions are evaluated by (non-hermitian) Lanczos exact diagonalisation [2] or by matrix-product states (MPS) [4].

Applications to nonequilibrium Dynamical Mean Field Theory (DMFT) [5] and a generalisation to treat periodically driven quantum systems within Floquet theory will be discussed. We present novel results of the (periodic-)steady state properties of an electric field driven mott insolator connected to non-interacting leads as a simplified model of a so called ``Mott Solar Cell''. The latter beeing a candidate of a highly efficient solar cell because of carier proliferation due to impact ionisation processes[6-8].

1. E. Arrigoni et al., Phys. Rev. Lett. {\bf110}, 086403 (2013).\newline

2. A. Dorda et al., Phys. Rev. B {\bf89} 165105 (2014).\newline

3. A. Dorda et al., arXiv {\bf1608}, 04632 (2016).\newline

4. A. Dorda et al., Phys. Rev. B {\bf92}, 125145 (2015).\newline

5. I. Titvinidze et al., Phys. Rev. B {\bf92}, 245125 (2015).\newline

6. E. Manousakis, Phys. Rev. B, {\bf82}, 125109, (2010).\newline

7. E. Assman et al., Phys. Rev. Lett. {\bf110}, 078701 (2013).\newline

8. M. Eckstein and P. Werner, Phys. Rev. Lett. {\bf113}, 076405 (2014).

Applications to nonequilibrium Dynamical Mean Field Theory (DMFT) [5] and a generalisation to treat periodically driven quantum systems within Floquet theory will be discussed. We present novel results of the (periodic-)steady state properties of an electric field driven mott insolator connected to non-interacting leads as a simplified model of a so called ``Mott Solar Cell''. The latter beeing a candidate of a highly efficient solar cell because of carier proliferation due to impact ionisation processes[6-8].

1. E. Arrigoni et al., Phys. Rev. Lett. {\bf110}, 086403 (2013).\newline

2. A. Dorda et al., Phys. Rev. B {\bf89} 165105 (2014).\newline

3. A. Dorda et al., arXiv {\bf1608}, 04632 (2016).\newline

4. A. Dorda et al., Phys. Rev. B {\bf92}, 125145 (2015).\newline

5. I. Titvinidze et al., Phys. Rev. B {\bf92}, 245125 (2015).\newline

6. E. Manousakis, Phys. Rev. B, {\bf82}, 125109, (2010).\newline

7. E. Assman et al., Phys. Rev. Lett. {\bf110}, 078701 (2013).\newline

8. M. Eckstein and P. Werner, Phys. Rev. Lett. {\bf113}, 076405 (2014).

Original language | English |
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Publication status | Published - 24 Oct 2016 |

Event | Workshop on Correlations, Integrability and Criticality in Quantum Systems - Univercity of Evora, Evora, Portugal Duration: 24 Oct 2016 → 28 Jan 2017 http://www.cicqs.uevora.pt/ |

### Conference

Conference | Workshop on Correlations, Integrability and Criticality in Quantum Systems |
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Country | Portugal |

City | Evora |

Period | 24/10/16 → 28/01/17 |

Internet address |

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### Fields of Expertise

- Advanced Materials Science

### Cite this

Sorantin, M. E., Dorda, A., von der Linden, W., & Arrigoni, E. (2016).

*Auxiliary master equation approach for strongly correlated quantum impurities out of equilibrium and applications within Dynamical Mean Field Theory*. Workshop on Correlations, Integrability and Criticality in Quantum Systems, Evora, Portugal.