Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach

Employing the time-dependent variational principle combined with the multiple Davydov D2 Ansatz, we investigate Landau-Zener (LZ) transitions in a qubit coupled to a photon mode with various initial photon states at zero temperature. Thanks to the multiple Davydov trial states, exact photonic dynami...

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Main Authors: Wang, Lu, Zheng, Fulu, Wang, Jiaming, Großmann, Frank, Zhao, Yang
Other Authors: School of Materials Science and Engineering
Format: Journal Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/157804
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author Wang, Lu
Zheng, Fulu
Wang, Jiaming
Großmann, Frank
Zhao, Yang
author2 School of Materials Science and Engineering
author_facet School of Materials Science and Engineering
Wang, Lu
Zheng, Fulu
Wang, Jiaming
Großmann, Frank
Zhao, Yang
author_sort Wang, Lu
collection NTU
description Employing the time-dependent variational principle combined with the multiple Davydov D2 Ansatz, we investigate Landau-Zener (LZ) transitions in a qubit coupled to a photon mode with various initial photon states at zero temperature. Thanks to the multiple Davydov trial states, exact photonic dynamics taking place in the course of the LZ transition is also studied efficiently. With the qubit driven by a linear external field and the photon mode initialized with Schrödinger-cat states, asymptotic behavior of the transition probability beyond the rotating-wave approximation is uncovered for a variety of initial states. Using a sinusoidal external driving field, we also explore the photon-assisted dynamics of Landau-Zener-Stückelberg-Majorana interferometry. Transition pathways involving multiple energy levels are unveiled by analyzing the photon dynamics.
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spelling ntu-10356/1578042023-07-14T16:06:18Z Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach Wang, Lu Zheng, Fulu Wang, Jiaming Großmann, Frank Zhao, Yang School of Materials Science and Engineering Engineering::Materials Interferometry Qubits Employing the time-dependent variational principle combined with the multiple Davydov D2 Ansatz, we investigate Landau-Zener (LZ) transitions in a qubit coupled to a photon mode with various initial photon states at zero temperature. Thanks to the multiple Davydov trial states, exact photonic dynamics taking place in the course of the LZ transition is also studied efficiently. With the qubit driven by a linear external field and the photon mode initialized with Schrödinger-cat states, asymptotic behavior of the transition probability beyond the rotating-wave approximation is uncovered for a variety of initial states. Using a sinusoidal external driving field, we also explore the photon-assisted dynamics of Landau-Zener-Stückelberg-Majorana interferometry. Transition pathways involving multiple energy levels are unveiled by analyzing the photon dynamics. Ministry of Education (MOE) Submitted/Accepted version Support of the Singapore Ministry of Education Academic Research Fund (Grant Nos. 2018-T1-002-175 and 2020-T1-002-075) is gratefully acknowledged. The work is also supported in part by the Project of Inner Mongolia University of Science and Technology (2017QDL-B14) and the Natural Science Foundation of Inner Mongolia (2019MS01013). 2022-05-16T05:31:48Z 2022-05-16T05:31:48Z 2021 Journal Article Wang, L., Zheng, F., Wang, J., Großmann, F. & Zhao, Y. (2021). Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach. Journal of Physical Chemistry B, 125(12), 3184-3196. https://dx.doi.org/10.1021/acs.jpcb.1c00887 1520-5207 https://hdl.handle.net/10356/157804 10.1021/acs.jpcb.1c00887 33740367 12 125 3184 3196 en RG 190/18 RG 87/20 2018-T1-002-175 2020-T1-002-075 Journal of Physical Chemistry B This document is the Accepted Manuscript version of a Published Work that appeared in final form in Journal of Physical Chemistry B, copyright © American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see https://doi.org/10.1021/acs.jpcb.1c00887. application/pdf
spellingShingle Engineering::Materials
Interferometry
Qubits
Wang, Lu
Zheng, Fulu
Wang, Jiaming
Großmann, Frank
Zhao, Yang
Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
title Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
title_full Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
title_fullStr Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
title_full_unstemmed Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
title_short Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
title_sort schrodinger cat states in landau zener stuckelberg majorana interferometry a multiple davydov ansatz approach
topic Engineering::Materials
Interferometry
Qubits
url https://hdl.handle.net/10356/157804
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