Floquet engineering to entanglement protection of distant nitrogen vacancy centers

Yang, Wanli; Song, W. H.; An, Jing; Feng, Mang; Suter, Dieter; Du, Jiangfeng

doi:10.1088/1367-2630/aaf8f4

Cited by 7 publications

(4 citation statements)

References 57 publications

(68 reference statements)

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“…Although the Floquet theory [1,2] is a powerful tool to calculate the time-independent effective Hamiltonian of periodic systems, [71][72][73][74][75][76][77][78][79][80][81][82][83] it does not work very well in this system due to the singularity of δ -function. In addition, the effective Hamiltonian is hardly obtained by employing the Baker-Campbell-Hausdorff formula [46,[84][85][86] as well as the rotating wave approximation, [87][88][89][90][91] because we cannot treat the period T as a perturbation in this system due to its arbitrariness.…”

Section: General Formula Of the Effective Hamiltonianmentioning

confidence: 99%

Effective dynamics and quantum state engineering by periodic kicks

Shi¹,

Chen²,

Wang³

et al. 2023

Chinese Phys. B

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In this work, we study the kick dynamics of periodically driven quantum systems, and provide a time-independent effective Hamiltonian with the analytical form to reasonably describe the effective dynamics in a long timescale. It is shown that the effective coupling strength can be much larger than the coupling strength of the original system in some parameter regions, which stems from the zero time duration of kicks. Furthermore, different regimes can be transformed from and to each other in the same three-level system by only modulating the period of periodic kicks. In particular, the population of excited states can be selectively suppressed in periodic kicks, benefiting from the large detuning regime of the original system. Finally, some applications and physical implementation of periodic kicks are demonstrated in quantum systems. Those unique features would make periodic kicks becoming a powerful tool for quantum state engineering.

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Section: General Formula Of the Effective Hamiltonianmentioning

confidence: 99%

Effective dynamics and quantum state engineering by periodic kicks

Shi¹,

Chen²,

Wang³

et al. 2023

Chinese Phys. B

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show abstract

“…Although the Floquet theory [1, 2] is a powerful tool to calculate the time-independent effective Hamiltonian of periodic systems [70][71][72][73][74][75][76][77][78][79], it does not work very well in this system due to the singularity of δ-function. In addition, the effective Hamiltonian is hardly obtained by employing the Baker-Campbell-Hausdorff formula [80] as well as the rotating wave approximation [81][82][83][84][85], because we cannot treat the period T as a perturbation in this system due to its arbitrariness.…”

Section: Kick Dynamics In Two-level Systemsmentioning

confidence: 99%

Effective dynamics and applications in periodic kicks systems

Shi¹,

Chen²,

Wang³

et al. 2022

Preprint

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In this work, we study the kick dynamics of periodically driven quantum systems, and provide a time-independent effective Hamiltonian with the analytical form to reasonably describe the effective dynamics in a long timescale. We find that the effective coupling strength can be much larger than the coupling strength of the original system in some parameter regions, which stems from the zero time duration of kicks. Furthermore, different regimes can be transformed from and to each other in the same three-level system by only modulating the period of periodic kicks. In particular, the population of excited states can be selectively suppressed in periodic kicks, benefiting from the large detuning regime of the original system. Finally, we demonstrate some applications and physical implementation of periodic kicks in quantum systems. Those unique features would make periodic kicks becoming a powerful tool for quantum state manipulations.

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“…Floquet resonance in a periodically driven field is of fundamental importance in quantum control and manipulation in which periodic driving [1][2][3][4] has emerged as a technique to realize different applications, for instance, in population trapping [5], quantum phase transition [6,7], atomic transportation [8,9] and quantum information processing [10,11]. Among various models, the paradigmatic two-level and there-level systems, e.g., Rydberg-excited atoms [12], Bose-Einstein condensate (BEC) [13][14][15], coupled waveguide arrays [16,17] and Dirac electrons [18], have been intensively investigated and exhibit interesting effects including dynamical localization [19], coherent destruction of tunneling (CDT) [20,21] and photo-assisted tunneling (PAT) [22].…”

Section: Introductionmentioning

confidence: 99%

Integer and Fractional Floquet Resonances in a Driven Three-Well System

Wang

2022

Photonics

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We investigate Floquet dynamics of a particle held in a three-well system driven by a two-frequency field and identify integer and fractional photon resonances due to the dual-frequency driving. It is found that pairs of photon-assisted tunneling near the resonance originate from avoided level crossings in the Floquet spectra which, in essence, are quantum features of the hybridization between different quantum states. In particular, we establish a close connection between fractional-order resonances and Floquet mode properties under two-frequency driving conditions and illustrate their dependence on driving parameters. These results provide us a possibility to realize coherent control of quantum states with the assistance of classical external driving fields.

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Floquet engineering to entanglement protection of distant nitrogen vacancy centers

Cited by 7 publications

References 57 publications

Effective dynamics and quantum state engineering by periodic kicks

Effective dynamics and quantum state engineering by periodic kicks

Effective dynamics and applications in periodic kicks systems

Integer and Fractional Floquet Resonances in a Driven Three-Well System

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