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In this work, we propose a comprehensive design for narrowband and passband composite pulse sequences by involving the dynamics of all states in the three -state system. The design is quite universal as all pulse parameters can be freely employed to modify the coefficients of error terms. Two modulation techniques, the strength and phase modulations, are used to achieve arbitrary population transfer with a desired excitation profile, while the system keeps minimal leakage to the third state. Furthermore, the current sequences are capable of tolerating inaccurate waveforms, detuning errors, and work well when rotating wave approximation is not strictly justified. Therefore, this work provides versatile adaptability for shaping various excitation profiles in both narrowband and passband sequences. (c) 2024 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement
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GB/T 7714 | Zhang, Cheng , Shen, Li-tuo , Song, Jie et al. Three-state coherent control using narrowband and passband sequences [J]. | OPTICS EXPRESS , 2024 , 32 (2) : 1188-1206 . |
MLA | Zhang, Cheng et al. "Three-state coherent control using narrowband and passband sequences" . | OPTICS EXPRESS 32 . 2 (2024) : 1188-1206 . |
APA | Zhang, Cheng , Shen, Li-tuo , Song, Jie , Xia, Yan , Shi, Zhi-cheng . Three-state coherent control using narrowband and passband sequences . | OPTICS EXPRESS , 2024 , 32 (2) , 1188-1206 . |
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We study the ground state of the two-qubit squeezed Rabi model. Two special transformations are found to diagonalize the system Hamiltonian when each qubit's frequency is close to the field frequency, where both the squeezing and counterrotating-wave interactions are removed, leading to an effective integrable Hamiltonian. The analytical ground state is determined and matches with numerical solutions well for a range of squeezing strengths and qubit-field detunings in the ultrastrong-coupling regime. We demonstrate that the ground state exhibits a firstorder quantum phase transition at a phase boundary linearly induced by the squeezed light. We characterize the two-qubit negativity analytically and find that its two-qubit entanglement increases with the increasing squeezing strength nonlinearly. The average photon numbers of the field mode and variances of position and momentum quadratures are also analyzed and discovered to have a nonlinear relation with the squeezing strength. Finally, we discuss the experimental scheme and realization possibility of the predicted results. (c) 2024 Optica Publishing Group
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GB/T 7714 | Pei, Xuan-Tong , Shi, Zhi-Cheng , Shen, Li-Tuo et al. First-order quantum phase transition in the two-qubit squeezed Rabi model [J]. | JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS , 2024 , 41 (6) : 1373-1380 . |
MLA | Pei, Xuan-Tong et al. "First-order quantum phase transition in the two-qubit squeezed Rabi model" . | JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS 41 . 6 (2024) : 1373-1380 . |
APA | Pei, Xuan-Tong , Shi, Zhi-Cheng , Shen, Li-Tuo , Yang, Zhen-Biao . First-order quantum phase transition in the two-qubit squeezed Rabi model . | JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS , 2024 , 41 (6) , 1373-1380 . |
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We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic characteristics. The classical spin limit demonstrates a preference for the rotating-wave coupling, whereas the classical oscillator limit exhibits symmetry in the coupling strength of the bias. The anisotropic features of the classical spin limit persist at finite scales. Furthermore, we observe that the interplay among the anisotropic ratio, spin length, and frequency ratio can collectively enhance the critical behaviors. This critical enhancement without a trade-off between these factors provides a flexible method for quantum precision measurement.
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GB/T 7714 | Zhu, Xin , Lu, Jia-Hao , Ning, Wen et al. Quantum geometric tensor and critical metrology in the anisotropic Dicke model [J]. | PHYSICAL REVIEW A , 2024 , 109 (5) . |
MLA | Zhu, Xin et al. "Quantum geometric tensor and critical metrology in the anisotropic Dicke model" . | PHYSICAL REVIEW A 109 . 5 (2024) . |
APA | Zhu, Xin , Lu, Jia-Hao , Ning, Wen , Shen, Li-Tuo , Wu, Fan , Yang, Zhen-Biao . Quantum geometric tensor and critical metrology in the anisotropic Dicke model . | PHYSICAL REVIEW A , 2024 , 109 (5) . |
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Superradiant phase transition and entanglement entropy in the Dicke model with a squeezed light are investigated. We find a special rotation coordinate system mapping the original Hamiltonian into an effective dual-oscillator Hamiltonian in the thermodynamic limit. We analytically derive the eigenenergy and eigenstate of the ground state. The ground state is demonstrated to undergo superradiant phase transition at a nonlinear critical boundary collectively induced by the squeezed driving and qubit-field coupling. This phase boundary requires neither large qubit-field detuning nor strong squeezed driving. An exact expression of the ground-state entropy is obtained. We demonstrate that the squeezed light enhances the qubit-field entanglement entropy linearly.
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GB/T 7714 | Shen, Li-Tuo , Pei, Xuan-Tong , Shi, Zhi-Cheng et al. Quantum phase transition and entanglement entropy in the Dicke model with a squeezed light [J]. | EUROPEAN PHYSICAL JOURNAL D , 2024 , 78 (7) . |
MLA | Shen, Li-Tuo et al. "Quantum phase transition and entanglement entropy in the Dicke model with a squeezed light" . | EUROPEAN PHYSICAL JOURNAL D 78 . 7 (2024) . |
APA | Shen, Li-Tuo , Pei, Xuan-Tong , Shi, Zhi-Cheng , Yang, Zhen-Biao . Quantum phase transition and entanglement entropy in the Dicke model with a squeezed light . | EUROPEAN PHYSICAL JOURNAL D , 2024 , 78 (7) . |
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Quantum systems that undergo quantum phase transitions exhibit divergent susceptibility and can be exploited as probes to estimate physical parameters. We generalize the dynamic framework for criticality-enhanced quantum sensing by the quantum Rabi model (QRM) to its anisotropic counterpart and derive the correspondingly analytical expressions for the quantum Fisher information (QFI). We find that the contributions of the rotating-wave and counterrotating-wave interaction terms are symmetric at the limit of the infinite ratio of qubit frequency to field frequency, with the QFI reaching a maximum for the isotropic QRM. At finite frequency scaling, we analytically derive the inverted variance of higher-order correction and find that it is more affected by the rotating-wave coupling than by the counterrotating-wave coupling.
Keyword :
anisotropic quantum Rabi model anisotropic quantum Rabi model quantum Fisher information quantum Fisher information quantum sensing quantum sensing
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GB/T 7714 | Zhu, Xin , Lue, Jia-Hao , Ning, Wen et al. Criticality-enhanced quantum sensing in the anisotropic quantum Rabi model [J]. | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY , 2023 , 66 (5) . |
MLA | Zhu, Xin et al. "Criticality-enhanced quantum sensing in the anisotropic quantum Rabi model" . | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 66 . 5 (2023) . |
APA | Zhu, Xin , Lue, Jia-Hao , Ning, Wen , Wu, Fan , Shen, Li-Tuo , Yang, Zhen-Biao et al. Criticality-enhanced quantum sensing in the anisotropic quantum Rabi model . | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY , 2023 , 66 (5) . |
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Quantum phase transition and entanglement in the Rabi model with a squeezed light are investigated. We find a special unitary-transformation method that removes the nonintegrable squeezing and counterrotating-wave interactions when the qubit frequency is close to the field frequency. The analytical ground state agrees well with the numerical solution. We demonstrate that the ground state exhibits a first-order quantum phase transition at a critical point induced linearly by the squeezed light. This quantum phase transition requires neither multiple qubits nor an infinite ratio of qubit frequency to field frequency, which solves a critical problem for the theory and experiment in Rabi model. As the qubit-field coupling strength increases, the ground-state entanglement reaches its maximum value at the critical point.
Keyword :
entanglement entanglement ground state ground state quantum phase transition quantum phase transition Rabi model Rabi model
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GB/T 7714 | Yang, Jingwen , Shi, Zhicheng , Yang, Zhen-Biao et al. First-order quantum phase transition in the squeezed Rabi model [J]. | PHYSICA SCRIPTA , 2023 , 98 (4) . |
MLA | Yang, Jingwen et al. "First-order quantum phase transition in the squeezed Rabi model" . | PHYSICA SCRIPTA 98 . 4 (2023) . |
APA | Yang, Jingwen , Shi, Zhicheng , Yang, Zhen-Biao , Shen, Li-tuo , Zheng, Shi-Biao . First-order quantum phase transition in the squeezed Rabi model . | PHYSICA SCRIPTA , 2023 , 98 (4) . |
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In this paper, we propose a scheme to achieve a multiphonon-resonance quantum Rabi model and adiabatic passage in a strong-coupling cavity optomechanical system. In the scheme, when the driving bichromatic laser beam is adjusted to the off-resonant j-order red- and blue-sideband, the interaction between the cavity and mechanical oscillator leads to a j-phonon resonance quantum Rabi model. Moreover, we show that there exists a resonant multi-phonon coupling via intermediate states connected by counter-rotating processes when the frequency of the simulated bosonic mode is near a fraction of the transition frequency of the simulated two-level system. As a typical example, we theoretically analyze the two-phonon resonance quantum Rabi model, and derive an effective Hamiltonian of the six-phonon coupling. Finally, we present a method of six-phonon generation based on adiabatic passage across the resonance. Numerical simulations confirm the validity of the proposed scheme. Theoretically, the proposed scheme can be extended to the realization of 3j-phonon state.
Keyword :
adiabatic passage adiabatic passage cavity-optomechanical system cavity-optomechanical system quantum Rabi model quantum Rabi model
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GB/T 7714 | Zhong, Zhi-Rong , Chen, Lei , Sheng, Jian-Qi et al. Multiphonon-resonance quantum Rabi model and adiabatic passage in a cavity-optomechanical system [J]. | FRONTIERS OF PHYSICS , 2022 , 17 (1) . |
MLA | Zhong, Zhi-Rong et al. "Multiphonon-resonance quantum Rabi model and adiabatic passage in a cavity-optomechanical system" . | FRONTIERS OF PHYSICS 17 . 1 (2022) . |
APA | Zhong, Zhi-Rong , Chen, Lei , Sheng, Jian-Qi , Shen, Li-Tuo , Zheng, Shi-Biao . Multiphonon-resonance quantum Rabi model and adiabatic passage in a cavity-optomechanical system . | FRONTIERS OF PHYSICS , 2022 , 17 (1) . |
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Quantum phase transition and quench dynamics in the Jaynes-Cummings model with squeezed light are investigated. We find a special unitary transformation that removes the nonintegrable squeezing interaction when the qubit frequency far outweighs the field frequency. The eigenenergies and the eigenstates of the normal and superradiant phases are derived analytically. We demonstrate that the system exhibits a second-order quantum phase transition at a phase-boundary-induced nonlinearly by squeezed light. This phase boundary requires neither an ultrastrong coupling regime nor multiqubits, which lessens the difficulty of the experiment. The entanglement entropy is very close to its maximum value as the squeezing strength increases in the superradiant phase. In quench dynamics, the nonlinear relation between the residual energy and the squeezing strength is obtained analytically.
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GB/T 7714 | Shen, Li-Tuo , Tang, Chun-Qi , Shi, Zhicheng et al. Squeezed-light-induced quantum phase transition in the Jaynes-Cummings model [J]. | PHYSICAL REVIEW A , 2022 , 106 (2) . |
MLA | Shen, Li-Tuo et al. "Squeezed-light-induced quantum phase transition in the Jaynes-Cummings model" . | PHYSICAL REVIEW A 106 . 2 (2022) . |
APA | Shen, Li-Tuo , Tang, Chun-Qi , Shi, Zhicheng , Wu, Huaizhi , Yang, Zhen-Biao , Zheng, Shi-Biao . Squeezed-light-induced quantum phase transition in the Jaynes-Cummings model . | PHYSICAL REVIEW A , 2022 , 106 (2) . |
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Quantum sensing improves the accuracy of measurements of relevant parameters by exploiting the unique properties of quantum systems. The divergent susceptibility of physical systems near a critical point for quantum phase transition enables criticality-enhanced quantum sensing. The quantum Rabi model (QRM), composed of a single qubit coupled to a single bosonic field, represents a good candidate for realizing such critical enhancement for its simplicity, but it is experimentally challenging to achieve the ultrastrong qubit-field coupling required to realize the critical phenomena. In this work, we explore an alternative to construct the analog of the QRM for the sensing, exploiting the criticality appearing in the Jaynes-Cummings (JC) model whose bosonic field is parametrically driven, not necessitating the ultrastrong coupling condition, thus to some extent relaxing the requirement for practical implementation.
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GB/T 7714 | Lu, Jia-Hao , Ning, Wen , Zhu, Xin et al. Critical quantum sensing based on the Jaynes-Cummings model with a squeezing drive [J]. | PHYSICAL REVIEW A , 2022 , 106 (6) . |
MLA | Lu, Jia-Hao et al. "Critical quantum sensing based on the Jaynes-Cummings model with a squeezing drive" . | PHYSICAL REVIEW A 106 . 6 (2022) . |
APA | Lu, Jia-Hao , Ning, Wen , Zhu, Xin , Wu, Fan , Shen, Li-Tuo , Yang, Zhen-Biao et al. Critical quantum sensing based on the Jaynes-Cummings model with a squeezing drive . | PHYSICAL REVIEW A , 2022 , 106 (6) . |
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We study a cross-cavity quantum Rabi model with ultrastrong coupling, and its analytical ground state is demonstrated to be approximately obtained by using the rotating-transformation method. Our method requires making three unitary transformations to the original Hamiltonian and ignoring the three-party cross interaction. In near-resonance and ultrastrong-coupling regimes, the ground-state fidelity is higher than 99% for a +/- 20% detuning range. We analytically demonstrate that the entanglement in ground state first quadratically increases with the qubit-oscillator coupling strength, then gets close to the maximum value 1. The oscillator's nonclassical property in the ground state is well explained by analytically solving the Wigner function.
Keyword :
entanglement entanglement ground state ground state Rabi model Rabi model ultrastrong coupling ultrastrong coupling
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GB/T 7714 | Shen, Lituo , Yang, Jingwen , Shi, Zhicheng et al. Ground state of a cross-cavity quantum Rabi model [J]. | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL , 2021 , 54 (10) . |
MLA | Shen, Lituo et al. "Ground state of a cross-cavity quantum Rabi model" . | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 54 . 10 (2021) . |
APA | Shen, Lituo , Yang, Jingwen , Shi, Zhicheng , Zhong, Zhirong , Xu, Canhua . Ground state of a cross-cavity quantum Rabi model . | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL , 2021 , 54 (10) . |
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