Closed-System Solution of the 1D Atom from Collision Model
Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g., quantum energetics and thermodynamics, and guiding towards possible application in the fields of quantum computation a...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/2/151 |
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| author | Maria Maffei Patrice A. Camati Alexia Auffèves |
| author_facet | Maria Maffei Patrice A. Camati Alexia Auffèves |
| author_sort | Maria Maffei |
| collection | DOAJ |
| description | Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g., quantum energetics and thermodynamics, and guiding towards possible application in the fields of quantum computation and communication. We consider a two-level atom (qubit) coupled to the continuum of travelling modes of a field confined in a one-dimensional chiral waveguide. Originally, we treated the light-matter ensemble as a closed, isolated system. We solve its dynamics using a collision model where individual temporal modes of the field locally interact with the qubit in a sequential fashion. This approach allows us to obtain the total wavefunction of the qubit-field system, at any time, when the field starts in a coherent or a single-photon state. Our method is general and can be applied to other initial field states. |
| first_indexed | 2024-03-09T22:02:57Z |
| format | Article |
| id | doaj.art-ceb906c1586847cbb9f1b7ac107ea70a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T22:02:57Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ceb906c1586847cbb9f1b7ac107ea70a2023-11-23T19:46:49ZengMDPI AGEntropy1099-43002022-01-0124215110.3390/e24020151Closed-System Solution of the 1D Atom from Collision ModelMaria Maffei0Patrice A. Camati1Alexia Auffèves2CNRS, Grenoble INP, Institut Néel, Université Grenoble Alpes, 38000 Grenoble, FranceCNRS, Grenoble INP, Institut Néel, Université Grenoble Alpes, 38000 Grenoble, FranceCNRS, Grenoble INP, Institut Néel, Université Grenoble Alpes, 38000 Grenoble, FranceObtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g., quantum energetics and thermodynamics, and guiding towards possible application in the fields of quantum computation and communication. We consider a two-level atom (qubit) coupled to the continuum of travelling modes of a field confined in a one-dimensional chiral waveguide. Originally, we treated the light-matter ensemble as a closed, isolated system. We solve its dynamics using a collision model where individual temporal modes of the field locally interact with the qubit in a sequential fashion. This approach allows us to obtain the total wavefunction of the qubit-field system, at any time, when the field starts in a coherent or a single-photon state. Our method is general and can be applied to other initial field states.https://www.mdpi.com/1099-4300/24/2/151collision modelquantum non-Markovian dynamicsinput–output formalismquantum opticsopen quantum systemsrepeated interaction model |
| spellingShingle | Maria Maffei Patrice A. Camati Alexia Auffèves Closed-System Solution of the 1D Atom from Collision Model Entropy collision model quantum non-Markovian dynamics input–output formalism quantum optics open quantum systems repeated interaction model |
| title | Closed-System Solution of the 1D Atom from Collision Model |
| title_full | Closed-System Solution of the 1D Atom from Collision Model |
| title_fullStr | Closed-System Solution of the 1D Atom from Collision Model |
| title_full_unstemmed | Closed-System Solution of the 1D Atom from Collision Model |
| title_short | Closed-System Solution of the 1D Atom from Collision Model |
| title_sort | closed system solution of the 1d atom from collision model |
| topic | collision model quantum non-Markovian dynamics input–output formalism quantum optics open quantum systems repeated interaction model |
| url | https://www.mdpi.com/1099-4300/24/2/151 |
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