Coherent control of dissipative dynamics in a periodically driven lattice array

In this work, we propose a composite pulses scheme by modulating phases to achieve high fidelity population transfer in three-level systems. To circumvent the obstacle that not enough variables are exploited to eliminate the systematic errors in the transition probability, we put forward a cost function to find the optimal value. The cost function is independently constructed either in ensuring an accurate population of the target state, or in suppressing the population of the leakage state, or both of them. The results demonstrate that population transfer is implemented with high fidelity even when existing the deviations in the coupling coefficients. Furthermore, our composite pulses scheme can be extensible to arbitrarily long pulse sequences. As an example, we employ the composite pulses sequence for achieving the three-atom singlet state in an atom-cavity system with ultrahigh fidelity. The final singlet state shows robustness against deviations and is not seriously affected by waveform distortions. Also, the singlet state maintains a high fidelity under the decoherence environment.

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“…are the coefficients of the lth-order term in the N-pulse sequence. Contrary to equations ( 5) and (7) does not contain the first-order term.…”

Section: Toy Model and The General Theorymentioning

confidence: 96%

“…Implementation of high fidelity quantum coherent control is a top priority in quantum information processing (QIP) [1][2][3][4][5][6][7][8][9][10]. Many works [11][12][13], which design different kinds of pulse shapes, have been devoted to ensuring a remarkable quantum computing performance.…”

Section: Introductionmentioning

confidence: 99%

Composite pulses for high fidelity population transfer in three-level systems

et al. 2022

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show abstract

Section: Introductionmentioning

confidence: 99%

Composite pulses for high fidelity population transfer in three-level systems

Shi,

Zhang,

Ran

et al. 2022

Preprint

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“…Floquet systems, which could be characterized by periodically modulated Hamiltonian, display rich dynamics and novel phenomena that are absent in their unmodulated counterparts, such as quantum dynamical decoupling [1][2][3], time crystal [4,5], Mach-Zehnder interferometer [6,7], time-domain Fresnel lenses [8], timedomain grating [9] and Floquet topological phase [10]. The studies of periodically modulated systems are also known as Floquet engineering [11][12][13][14][15]. Moreover, for the Floquet systems, the dynamic steady-states are periodic steady-states, which emerge in a balance of the energy injection by the periodic driving and the relaxation processes [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Tunable quantum interference effects in Floquet two- and three-level systems

et al. 2022

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Quantum interference effects in the un-modulated quantum systems with light-matter interaction have been widely studied, such as electromagnetically induced transparency (EIT) and Autler-Townes splitting (ATS). However, the similar quantum interference effects in the Floquet systems (i.e., periodically modulated systems), which might cover rich new physics, were rarely studied. In this article, we investigate the quantum interference effects in the Floquet two-and three-level systems analytically and numerically. We show a coherent destruction tunneling effect in a lotuslike multi-peak spectrum with a Floquet two-level system, where the intensity of the probe field is periodically modulated with a square-wave sequence. We demonstrate that the multi-peak split into multiple transparency windows with tunable quantum interference if the Floquet system is asynchronously controlled via a third level. Based on phenomenological analysis with Akaike information criterion, we show that the symmetric central transparency window has a similar mechanism to the traditional ATS or EIT depending on the choice of parameters, additional with an extra degree of freedom to control the quantum interference provided by the modulation period. The other transparent windows are shown to be asymmetric, different from the traditional ATS/EIT windows. These non-trivial quantum interference effects open up a new scope to explore the applications of the Floquet systems.

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Coherent control of dissipative dynamics in a periodically driven lattice array

Cited by 7 publications

References 86 publications

Composite pulses for high fidelity population transfer in three-level systems

Composite pulses for high fidelity population transfer in three-level systems

Composite pulses for high fidelity population transfer in three-level systems

Tunable quantum interference effects in Floquet two- and three-level systems

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