Quantum impurity models coupled to Markovian and non-Markovian baths
We develop a method to study quantum impurity models, small interacting quantum systems bilinearly coupled to an environment, in the presence of an additional Markovian quantum bath, with a generic nonlinear coupling to the impurity. We aim at computing the evolution operator of the reduced density...
| Päätekijät: | , |
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| Aineistotyyppi: | Journal article |
| Kieli: | English |
| Julkaistu: |
AIP Publishing
2019
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| _version_ | 1826307067958263808 |
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| author | Schiro, M Scarlatella, O |
| author_facet | Schiro, M Scarlatella, O |
| author_sort | Schiro, M |
| collection | OXFORD |
| description | We develop a method to study quantum impurity models, small interacting quantum systems bilinearly coupled to an environment, in the presence of an additional Markovian quantum bath, with a generic nonlinear coupling to the impurity. We aim at computing the evolution operator of the reduced density matrix of the impurity, obtained after tracing out all the environmental degrees of freedom. First, we derive an exact real-time hybridization expansion for this quantity, which generalizes the result obtained in the absence of the additional Markovian dissipation and which could be amenable to stochastic sampling through diagrammatic Monte Carlo. Then, we obtain a Dyson equation for this quantity and we evaluate its self-energy with a resummation technique known as the noncrossing approximation. We apply this novel approach to a simple fermionic impurity coupled to a zero temperature fermionic bath and in the presence of Markovian pump, losses, and dephasing. |
| first_indexed | 2024-03-07T06:57:26Z |
| format | Journal article |
| id | oxford-uuid:fe99f8b1-83a7-42b7-add3-cffb005fc01f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:57:26Z |
| publishDate | 2019 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:fe99f8b1-83a7-42b7-add3-cffb005fc01f2022-03-27T13:37:58ZQuantum impurity models coupled to Markovian and non-Markovian bathsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fe99f8b1-83a7-42b7-add3-cffb005fc01fEnglishSymplectic Elements at OxfordAIP Publishing2019Schiro, MScarlatella, OWe develop a method to study quantum impurity models, small interacting quantum systems bilinearly coupled to an environment, in the presence of an additional Markovian quantum bath, with a generic nonlinear coupling to the impurity. We aim at computing the evolution operator of the reduced density matrix of the impurity, obtained after tracing out all the environmental degrees of freedom. First, we derive an exact real-time hybridization expansion for this quantity, which generalizes the result obtained in the absence of the additional Markovian dissipation and which could be amenable to stochastic sampling through diagrammatic Monte Carlo. Then, we obtain a Dyson equation for this quantity and we evaluate its self-energy with a resummation technique known as the noncrossing approximation. We apply this novel approach to a simple fermionic impurity coupled to a zero temperature fermionic bath and in the presence of Markovian pump, losses, and dephasing. |
| spellingShingle | Schiro, M Scarlatella, O Quantum impurity models coupled to Markovian and non-Markovian baths |
| title | Quantum impurity models coupled to Markovian and non-Markovian baths |
| title_full | Quantum impurity models coupled to Markovian and non-Markovian baths |
| title_fullStr | Quantum impurity models coupled to Markovian and non-Markovian baths |
| title_full_unstemmed | Quantum impurity models coupled to Markovian and non-Markovian baths |
| title_short | Quantum impurity models coupled to Markovian and non-Markovian baths |
| title_sort | quantum impurity models coupled to markovian and non markovian baths |
| work_keys_str_mv | AT schirom quantumimpuritymodelscoupledtomarkovianandnonmarkovianbaths AT scarlatellao quantumimpuritymodelscoupledtomarkovianandnonmarkovianbaths |