One-Photon Solutions to the Multiqubit Multimode Quantum Rabi Model for Fast 
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-State Generation

Peng, Jie; Zheng, Juncong; Yu, Jihao; Tang, Pinghua; Barrios, G. Alvarado; Zhong, Jianxin; Solano, E.; Albarrán-Arriagada, F.; Lamata, Lucas

doi:10.1103/physrevlett.127.043604

Cited by 26 publications

(12 citation statements)

References 75 publications

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“…For the QRM, the total excitation operator N = a † a + |e e| is no longer a conserved quantity. However, there exists a parity operator P = −σ z (−1) a † a , which commutes with the Rabi Hamiltonian H QRM , and hence we can divide the whole Hilbert space of the system into odd and even parity subspaces [49,50]. Generally, it is hard to analytically solve the eigensystem of the QRM with the element functions.…”

Section: Model and Hamiltonianmentioning

confidence: 99%

Quantum thermalization and thermal entanglement in the open quantum Rabi model

Liu¹,

Fan²,

Zeng³

et al. 2022

Preprint

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We study quantum thermalization and thermal entanglement in the open quantum Rabi model (QRM), in which a two-level system and a single-mode bosonic field are coupled to either two individual heat baths or a common heat bath. By treating the QRM as an effective multilevel system and deriving global quantum master equations in the eigenstate representation of the QRM, we study the physical conditions for quantum thermalization of the open QRM. It is found that, in the individual heat-bath case, the QRM can only be thermalized when either the two heat baths have the same temperature or the QRM is only coupled to one of the two baths. In the common heatbath case, differently, the QRM can always be thermalized. We also study thermal entanglement of the QRM in both the resonant-and non-resonant coupling cases. The logarithmic negativity for the thermal state of the QRM is obtained in a wide parameter space, ranging from the lowto high-temperature limits, and from the weak-to deep-strong-coupling regimes. This work paves the way towards the study of quantum effects in nonequilibrium ultrastrongly-coupled light-matter systems.

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Section: Model and Hamiltonianmentioning

confidence: 99%

Quantum thermalization and thermal entanglement in the open quantum Rabi model

Liu¹,

Fan²,

Zeng³

et al. 2022

Preprint

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show abstract

“…The exact isolated solutions for two-photon and two-mode Rabi models were also brought into the spotlight [21][22][23]26]. A new type of exact isolated solutions, also known as the dark-like state, were found when generalizing to the multi-qubit cases [38][39][40]. However, less attention has been paid to those in the intensitydependent Rabi model.…”

Section: A Exact Isolated Solutionsmentioning

confidence: 99%

A unified approach to the nonlinear Rabi models

Duan

2022

Preprint

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An analytical approach is proposed and applied to study the two-photon, two-mode and intensitydependent Rabi models. By virtue of the su(1,1) Lie algebra, all of them can be unified to the same Hamiltonian with Z2 symmetry. There exist some exact isolated solutions which correspond to eigenstates with finite dimensions. Beyond the isolated solutions, the regular spectrum can be achieved by finding the roots of the G-function. The corresponding eigenstates are of infinite dimension. It is noteworthy that the coefficients of the eigenstates present an exponential decay behavior. The decay rates decrease with the increase of the coupling strength. When the coupling strength tends to the spectral collapse point g → ω/2, the decay rate tends to zero which prevents the convergence of the wave functions. This work paves a way for the analysis of the novel physics in nonlinear quantum optics.

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“…In particular, maximally-entangled multiqubit states of W - [2] and GHZ [3] type are of both conceptual and practical importance in the realm of quantum-information processing (QIP) [4]. Owing to their already proven usefulness in QIP [5,6], a large number of schemes for the preparation of W [7][8][9][10][11][12][13][14][15] and GHZ states [16][17][18][19][20][21] in various physical platforms have been proposed in recent years. Among those platforms, one of the most promising ones from the standpoint of large-scale quantum computing and analog quantum simulation, is based on ensembles of neutral atoms in Rydberg states [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits

Nauth,

Stojanovic

2022

Preprint

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Using the quantum-brachistochrone formalism, we address the problem of finding the fastest possible (time-optimal) deterministic conversion between W and Greenberger-Horne-Zeilinger (GHZ) states in a system of three identical and equidistant neutral atoms that are acted upon by four external laser pulses. Assuming that all four pulses are close to being resonant with the same internal (atomic) transition -the one between the atomic ground state and a high-lying Rydberg stateeach atom can be treated as an effective two-level system (gr-type qubit). Starting from an effective system Hamiltonian in the Rydberg-blockade regime, which is defined on a four-state manifold, we derive the quantum-brachistochrone equations pertaining to the fastest possible W -to-GHZ state conversion. By numerically solving these equations, we determine the time-dependent Rabi frequencies of external laser pulses that correspond to the time-optimal state conversion. In particular, we show that the shortest possible state-conversion time is given by TQB = 6.8 /E, where E is the total laser-pulse energy used, this last time being significantly shorter than the state-conversion times previously found using a dynamical-symmetry-based approach [TDS = (1.33 − 1.66) TQB].

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One-Photon Solutions to the Multiqubit Multimode Quantum Rabi Model for Fast W -State Generation

Cited by 26 publications

References 75 publications

Quantum thermalization and thermal entanglement in the open quantum Rabi model

Quantum thermalization and thermal entanglement in the open quantum Rabi model

A unified approach to the nonlinear Rabi models

Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits

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