Auxiliary master equation approach for strongly correlated quantum impurities out of equilibrium and applications within Dynamical Mean Field Theory

Max Erich Sorantin, Antonius Dorda, Wolfgang von der Linden, Enrico Arrigoni

Publikation: Konferenzbeitrag(Altdaten) Vortrag oder PräsentationForschung

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).
Originalspracheenglisch
PublikationsstatusVeröffentlicht - 24 Okt 2016
VeranstaltungWorkshop on Correlations, Integrability and Criticality in Quantum Systems - Univercity of Evora, Evora, Portugal
Dauer: 24 Okt 201628 Jan 2017
http://www.cicqs.uevora.pt/

Konferenz

KonferenzWorkshop on Correlations, Integrability and Criticality in Quantum Systems
LandPortugal
OrtEvora
Zeitraum24/10/1628/01/17
Internetadresse

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orbitals
impurities
baths
solar cells
time dependence
Green's functions
ionization
electric fields
products

Fields of Expertise

  • Advanced Materials Science

Dies zitieren

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.

Auxiliary master equation approach for strongly correlated quantum impurities out of equilibrium and applications within Dynamical Mean Field Theory. / Sorantin, Max Erich; Dorda, Antonius; von der Linden, Wolfgang; Arrigoni, Enrico.

2016. Workshop on Correlations, Integrability and Criticality in Quantum Systems, Evora, Portugal.

Publikation: Konferenzbeitrag(Altdaten) Vortrag oder PräsentationForschung

Sorantin ME, Dorda A, von der Linden W, Arrigoni E. Auxiliary master equation approach for strongly correlated quantum impurities out of equilibrium and applications within Dynamical Mean Field Theory. 2016. Workshop on Correlations, Integrability and Criticality in Quantum Systems, Evora, Portugal.
Sorantin, Max Erich ; Dorda, Antonius ; von der Linden, Wolfgang ; Arrigoni, Enrico. / 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.
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T1 - Auxiliary master equation approach for strongly correlated quantum impurities out of equilibrium and applications within Dynamical Mean Field Theory

AU - Sorantin, Max Erich

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N2 - 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).\newline2. A. Dorda et al., Phys. Rev. B {\bf89} 165105 (2014).\newline3. A. Dorda et al., arXiv {\bf1608}, 04632 (2016).\newline4. A. Dorda et al., Phys. Rev. B {\bf92}, 125145 (2015).\newline5. I. Titvinidze et al., Phys. Rev. B {\bf92}, 245125 (2015).\newline6. E. Manousakis, Phys. Rev. B, {\bf82}, 125109, (2010).\newline7. E. Assman et al., Phys. Rev. Lett. {\bf110}, 078701 (2013).\newline8. M. Eckstein and P. Werner, Phys. Rev. Lett. {\bf113}, 076405 (2014).

AB - 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).\newline2. A. Dorda et al., Phys. Rev. B {\bf89} 165105 (2014).\newline3. A. Dorda et al., arXiv {\bf1608}, 04632 (2016).\newline4. A. Dorda et al., Phys. Rev. B {\bf92}, 125145 (2015).\newline5. I. Titvinidze et al., Phys. Rev. B {\bf92}, 245125 (2015).\newline6. E. Manousakis, Phys. Rev. B, {\bf82}, 125109, (2010).\newline7. E. Assman et al., Phys. Rev. Lett. {\bf110}, 078701 (2013).\newline8. M. Eckstein and P. Werner, Phys. Rev. Lett. {\bf113}, 076405 (2014).

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