Nonclassicality of open circuit QED systems in the deep-strong coupling regime

We investigate theoretically how the ground state of a qubit–resonator (Q–R) system in the deep-strong coupling (DSC) regime is affected by the coupling to an environment. We employ as a variational ansatz for the ground state of the Q–R–environment system a superposition of coherent states displace...

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Main Authors: Tomohiro Shitara, Motoaki Bamba, Fumiki Yoshihara, Tomoko Fuse, Sahel Ashhab, Kouichi Semba, Kazuki Koshino
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac2850
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author Tomohiro Shitara
Motoaki Bamba
Fumiki Yoshihara
Tomoko Fuse
Sahel Ashhab
Kouichi Semba
Kazuki Koshino
author_facet Tomohiro Shitara
Motoaki Bamba
Fumiki Yoshihara
Tomoko Fuse
Sahel Ashhab
Kouichi Semba
Kazuki Koshino
author_sort Tomohiro Shitara
collection DOAJ
description We investigate theoretically how the ground state of a qubit–resonator (Q–R) system in the deep-strong coupling (DSC) regime is affected by the coupling to an environment. We employ as a variational ansatz for the ground state of the Q–R–environment system a superposition of coherent states displaced in qubit-state-dependent directions. We show that the reduced density matrix of the Q–R system strongly depends on how the system is coupled to the environment, i.e. capacitive or inductive, because of the broken rotational symmetry of the eigenstates of the DSC system in the resonator phase space. When the resonator couples to the qubit and the environment in different ways (for instance, one is inductive and the other is capacitive), the system is almost unaffected by the resonator–waveguide (R–W) coupling. In contrast, when the two couplings are of the same type (for instance, both are inductive), by increasing the R–W coupling strength, the average number of virtual photons increases and the quantum superposition realized in the Q–R entangled ground state is partially degraded. Since the superposition becomes more fragile with increasing the Q–R coupling, there exists an optimal coupling strength to maximize the nonclassicality of the Q–R system.
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spelling doaj.art-657c8b8eff474e6eae09af7b497dbfad2023-08-08T15:37:36ZengIOP PublishingNew Journal of Physics1367-26302021-01-01231010300910.1088/1367-2630/ac2850Nonclassicality of open circuit QED systems in the deep-strong coupling regimeTomohiro Shitara0https://orcid.org/0000-0002-1799-9100Motoaki Bamba1https://orcid.org/0000-0001-9811-0416Fumiki Yoshihara2Tomoko Fuse3Sahel Ashhab4https://orcid.org/0000-0003-1931-1178Kouichi Semba5Kazuki Koshino6https://orcid.org/0000-0002-9754-4463College of Liberal Arts and Sciences, Tokyo Medical and Dental University , 2-8-30 Konodai, Ichikawa 272-0827, JapanThe Hakubi Center for Advanced Research, Kyoto University , Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan; PRESTO, Japan Science and Technology Agency , Kawaguchi 332-0012, Japan; Department of Physics I, Kyoto University , Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, JapanNational Institute of Information and Communications Technology , 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, JapanNational Institute of Information and Communications Technology , 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, JapanNational Institute of Information and Communications Technology , 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, Japan; Qatar Environment and Energy Research Institute, Hamad Bin Khalifa University , Qatar Foundation, Doha, QatarNational Institute of Information and Communications Technology , 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, JapanCollege of Liberal Arts and Sciences, Tokyo Medical and Dental University , 2-8-30 Konodai, Ichikawa 272-0827, JapanWe investigate theoretically how the ground state of a qubit–resonator (Q–R) system in the deep-strong coupling (DSC) regime is affected by the coupling to an environment. We employ as a variational ansatz for the ground state of the Q–R–environment system a superposition of coherent states displaced in qubit-state-dependent directions. We show that the reduced density matrix of the Q–R system strongly depends on how the system is coupled to the environment, i.e. capacitive or inductive, because of the broken rotational symmetry of the eigenstates of the DSC system in the resonator phase space. When the resonator couples to the qubit and the environment in different ways (for instance, one is inductive and the other is capacitive), the system is almost unaffected by the resonator–waveguide (R–W) coupling. In contrast, when the two couplings are of the same type (for instance, both are inductive), by increasing the R–W coupling strength, the average number of virtual photons increases and the quantum superposition realized in the Q–R entangled ground state is partially degraded. Since the superposition becomes more fragile with increasing the Q–R coupling, there exists an optimal coupling strength to maximize the nonclassicality of the Q–R system.https://doi.org/10.1088/1367-2630/ac2850circuit QEDnonclassicalitydeep strong couplingmetrological power
spellingShingle Tomohiro Shitara
Motoaki Bamba
Fumiki Yoshihara
Tomoko Fuse
Sahel Ashhab
Kouichi Semba
Kazuki Koshino
Nonclassicality of open circuit QED systems in the deep-strong coupling regime
New Journal of Physics
circuit QED
nonclassicality
deep strong coupling
metrological power
title Nonclassicality of open circuit QED systems in the deep-strong coupling regime
title_full Nonclassicality of open circuit QED systems in the deep-strong coupling regime
title_fullStr Nonclassicality of open circuit QED systems in the deep-strong coupling regime
title_full_unstemmed Nonclassicality of open circuit QED systems in the deep-strong coupling regime
title_short Nonclassicality of open circuit QED systems in the deep-strong coupling regime
title_sort nonclassicality of open circuit qed systems in the deep strong coupling regime
topic circuit QED
nonclassicality
deep strong coupling
metrological power
url https://doi.org/10.1088/1367-2630/ac2850
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