Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

Wang, Yimin; You, Wen-Long; Liu, Maoxin; Dong, Yinmao; Luo, Hong‐Gang; Romero, G.; You, J. Q.

doi:10.1088/1367-2630/aac5b5

Cited by 51 publications

(44 citation statements)

References 76 publications

(164 reference statements)

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“…Of particular interest is how to simulate the QRM in USC, and even DSC regimes when the system is far from USC regime. Motivated by this consideration, some quantum simulation approaches have been proposed in various physical systems, such as superconducting circuits [36][37][38][39][40] , quantum optical 41 , trapped ions 42,43 , cold atoms [44][45][46] , and so on. These quantum simulation proposals provide us with experimental feasible methods to implement QRM in USC and DSC regimes.…”

Section: Introductionmentioning

confidence: 99%

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Wang

Xiao

et al. 2019

Sci Rep

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Multi-qubit quantum Rabi model, which is a fundamental model describing light-matter interaction, plays an important role in various physical systems. In this paper, we propose a theoretical method to simulate multi-qubit quantum Rabi model in a circuit quantum electrodynamics system. By means of external transversal and longitudinal driving fields, an effective Hamiltonian describing the multi-qubit quantum Rabi model is derived. The effective frequency of the resonator and the effective splitting of the qubits depend on the external driving fields. By adjusting the frequencies and the amplitudes of the driving fields, the stronger coupling regimes could be reached. The numerical simulation shows that our proposal works well in a wide range of parameter space. Moreover, our scheme can be utilized to generate two-qubit gate, Schrödinger states, and multi-qubit GHZ states. The maximum displacement of the Schrödinger cat states can be enhanced by increasing the number of the qubits and the relative coupling strength. It should be mention that we can obtain high fidelity Schrödinger cat states and multi-qubit GHZ states even the system suffering dissipation. The presented proposal may open a way to study the stronger coupling regimes whose coupling strength is far away from ultrastrong coupling regimes.

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Section: Introductionmentioning

confidence: 99%

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Wang

Xiao

et al. 2019

Sci Rep

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“…3, we find that the mean photon number obtained by GRWA is always larger than g 2 /(2ω 2 ) while our result is always smaller than g 2 /(2ω 2 ). Recently, a novel quantum phase transition in large frequency ratio (η = Ω/ω → ∞) has been extensively discussed [25,26,48]. Note that the large η limit is equivalent to the large Ω limit here since ω = 1 has been taken.…”

Section: The Advantage Of the Variational Methodsmentioning

confidence: 99%

Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model

Mao

Li²,

Wang

et al. 2019

Phys. Rev. A

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We present an analytical method for the two-qubit quantum Rabi model. While still operating in the frame of the generalized rotating-wave approximation (GRWA), our method further embraces the idea of introducing variational parameters. The optimal value of the variational parameter is determined by minimizing the energy function of the ground state. Comparing with numerical exact results, we show that our method evidently improves the accuracy of the conventional GRWA in calculating fundamental physical quantities, such as energy spectra, mean photon number, and dynamics. Interestingly, the accuracy of our method allows us to reproduce the asymptotic behavior of mean photon number in large frequency ratio for the ground state and investigate the quasiperiodical structure of the time evolution, which are incapable of being predicted by the GRWA. The applicable parameter ranges cover the ultrastrong coupling regime, which will be helpful to recent experiments. * An adiabatic approximation has been proposed for the two-qubit quantum Rabi model [29]. It plays well when arXiv:1904.09567v1 [quant-ph]

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“…The Dicke and Rabi models, which are fundamental models in quantum optics, reveal a universality class of QPT from largely unexcited normal phase to superradiant phase in the case of the thermodynamic limit34–38 and infinite atomic level splitting in the unit of the single‐mode light field frequency,39–43 respectively. The critical exponents obtained from the scaling laws of corresponding observables for the ground states in the Rabi and Dicke models are found to be the same 39,40,44,45.…”

Section: Introductionmentioning

confidence: 99%

Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

et al. 2020

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The out-of-time-order correlators (OTOCs) is used to study the quantum phase transitions (QPTs) between the normal phase and the superradiant phase in the Rabi and few-body Dicke models with large frequency ratio of the atomic level splitting to the single-mode electromagnetic radiation field frequency. The focus is on the OTOC thermally averaged with infinite temperature, which is an experimentally feasible quantity. It is shown that the critical points can be identified by long-time averaging of the OTOC via observing its local minimum behavior. More importantly, the scaling laws of the OTOC for QPTs are revealed by studying the experimentally accessible conditions with finite frequency ratio and finite number of atoms in the studied models. The critical exponents extracted from the scaling laws of OTOC indicate that the QPTs in the Rabi and Dicke models belong to the same universality class.

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Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

Cited by 51 publications

References 76 publications

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model

Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models

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