GHZ-like states in the Qubit-Qudit Rabi model
We study a Rabi type Hamiltonian system in which a qubit and a d-level quantum system (qudit) are coupled through a common resonator. In the weak and strong coupling limits the spectrum is analysed through suitable perturbative schemes. The analysis show that the presence of the multilevels of th...
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oai:doaj.org-article:36158ad7290a4fc5a4d3c70991de29dc2021-12-01T18:25:42ZGHZ-like states in the Qubit-Qudit Rabi model2542-465310.21468/SciPostPhys.11.6.099https://doaj.org/article/36158ad7290a4fc5a4d3c70991de29dc2021-12-01T00:00:00Zhttps://scipost.org/SciPostPhys.11.6.099https://doaj.org/toc/2542-4653We study a Rabi type Hamiltonian system in which a qubit and a d-level quantum system (qudit) are coupled through a common resonator. In the weak and strong coupling limits the spectrum is analysed through suitable perturbative schemes. The analysis show that the presence of the multilevels of the qudit effectively enhance the qubit-qudit interaction. The ground state of the strongly coupled system is found to be of Greenberger-Horne-Zeilinger (GHZ) type. Therefore, despite the qubit-qudit strong coupling, the nature of the specific tripartite entanglement of the GHZ state suppresses the bipartite entanglement. We analyze the system dynamics under quenching and adiabatic switching of the qubit-resonator and qudit-resonator couplings. In the quench case, we found that the non-adiabatic generation of photons in the resonator is enhanced by the number of levels in the qudit. The adiabatic control represents a possible route for preparation of GHZ states. Our analysis provides relevant information for future studies on coherent state transfer in qubit-qudit systems.Yuan Shen, Giampiero Marchegiani, Gianluigi Catelani, Luigi Amico, Ai Qun Liu, Weijun Fan, Leong-Chuan KwekSciPostarticlePhysicsQC1-999ENSciPost Physics, Vol 11, Iss 6, p 099 (2021) |
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DOAJ |
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DOAJ |
| language |
EN |
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Physics QC1-999 |
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Physics QC1-999 Yuan Shen, Giampiero Marchegiani, Gianluigi Catelani, Luigi Amico, Ai Qun Liu, Weijun Fan, Leong-Chuan Kwek GHZ-like states in the Qubit-Qudit Rabi model |
| description |
We study a Rabi type Hamiltonian system in which a qubit and a d-level
quantum system (qudit) are coupled through a common resonator. In the weak and
strong coupling limits the spectrum is analysed through suitable perturbative
schemes. The analysis show that the presence of the multilevels of the qudit
effectively enhance the qubit-qudit interaction. The ground state of the
strongly coupled system is found to be of Greenberger-Horne-Zeilinger (GHZ) type.
Therefore, despite the qubit-qudit strong coupling, the nature of the specific
tripartite entanglement of the GHZ state suppresses the bipartite entanglement.
We analyze the system dynamics under quenching and adiabatic switching of the
qubit-resonator and qudit-resonator couplings. In the quench case, we found
that the non-adiabatic generation of photons in the resonator is enhanced by
the number of levels in the qudit. The adiabatic control represents a possible
route for preparation of GHZ states. Our analysis provides relevant information
for future studies on coherent state transfer in qubit-qudit systems. |
| format |
article |
| author |
Yuan Shen, Giampiero Marchegiani, Gianluigi Catelani, Luigi Amico, Ai Qun Liu, Weijun Fan, Leong-Chuan Kwek |
| author_facet |
Yuan Shen, Giampiero Marchegiani, Gianluigi Catelani, Luigi Amico, Ai Qun Liu, Weijun Fan, Leong-Chuan Kwek |
| author_sort |
Yuan Shen, Giampiero Marchegiani, Gianluigi Catelani, Luigi Amico, Ai Qun Liu, Weijun Fan, Leong-Chuan Kwek |
| title |
GHZ-like states in the Qubit-Qudit Rabi model |
| title_short |
GHZ-like states in the Qubit-Qudit Rabi model |
| title_full |
GHZ-like states in the Qubit-Qudit Rabi model |
| title_fullStr |
GHZ-like states in the Qubit-Qudit Rabi model |
| title_full_unstemmed |
GHZ-like states in the Qubit-Qudit Rabi model |
| title_sort |
ghz-like states in the qubit-qudit rabi model |
| publisher |
SciPost |
| publishDate |
2021 |
| url |
https://doaj.org/article/36158ad7290a4fc5a4d3c70991de29dc |
| work_keys_str_mv |
AT yuanshengiampieromarchegianigianluigicatelaniluigiamicoaiqunliuweijunfanleongchuankwek ghzlikestatesinthequbitquditrabimodel |
| _version_ |
1718404684288360448 |