Pulse engineering for population control under dephasing and dissipation

Medina, Ivan; Semião, F. L.

doi:10.1103/physreva.100.012103

Cited by 29 publications

(16 citation statements)

References 31 publications

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“…It is meaningful to compare our scheme with the reverse engineering scheme of the Markovian quantum systems [31,43]. For the Markovian quantum systems, it shows that the quantum state is not dynamically controllable [23,33].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Trajectory tracking for non-Markovian quantum systems

Wu,

2022

Preprint

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We propose a systematic scheme to engineer quantum states of a quantum system governed by a time-convolutionless non-Markovian master equation. According to the idea of the reverse engineering, the general algebraic equation to determine the control parameters, such as coherent and incoherent control fields, are presented. Without artificially engineering the time-dependent decay rates and persisting the environment-induced Lamb shifts, the quantum state can still be transferred into the target state with a finite period of time along an arbitrary designed trajectory in Hilbert space strictly. As an application, we apply our scheme to a driven two-level non-Markovian system, and realize the instantaneous steady state tracking and the complete population inversion with control parameters which are available in experimental-settings.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Trajectory tracking for non-Markovian quantum systems

Wu,

2022

Preprint

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“…The error rates of populations control in Ref. [37] under serious decoherence are almost zero, an exciting result. Some follow-up studies [39,40] have made a lot of additions to the application scenarios, but still remaining in two-level open systems.…”

mentioning

confidence: 92%

“…Recently, Medina and Semião [37] have directly set the density operator with time-dependent parameters and then submitted them to the Markovian master equation [38], which gives appropriate functions of pulses to control the populations in two-level open systems. The error rates of populations control in Ref.…”

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confidence: 99%

Demonstration of dynamical control of three-level open systems with a superconducting qutrit

Zheng,

Ning,

Yang

et al. 2021

Preprint

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We propose a method for the dynamical control in three-level open systems and realize it in the experiment with a superconducting qutrit. Our work demonstrates that in the Markovian environment for a relatively long time (3 µs), the systemic populations or coherence can still strictly follow the preset evolution paths. This is the first experiment for precisely controlling the Markovian dynamics of three-level open systems, providing a solid foundation for the future realization of dynamical control in multiple open systems. An instant application of the techniques demonstrated in this experiment is to stabilize the energy of quantum batteries.

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“…One of the simplest paradigmatic examples encompasses a two-level quantum system, a qubit, subjected to a classical drive field which promotes population dynamics in the eigenbasis of the bare qubit. Despite its simplicity, such a model has been applied in many contexts ranging from the coherent control in quantum computing to the simulation of a number of important photochemical reactions [3][4][5][6][7][8][9][10][11][12]. Moreover, its properties have been investigated through different descriptions such as the dressed and Floquet state formalisms [13][14][15][16][17][18], also being associated with various physical phenomena, such as coherent suppression of tunneling [14,19,20] and interference between successive Landau-Zener transitions [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Assessment of weak-coupling approximations on a driven two-level system under dissipation

et al. 2021

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The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency. However, recent progress in the experimental implementations of controlled quantum systems with increased levels of on-demand engineered dissipation has motivated precision studies in parameter regimes that question the validity of the approximations, especially in the presence of time-dependent drive fields. In this paper, we address the precision of weak-coupling approximations by studying a driven qubit through the numerically exact and non-perturbative method known as the stochastic Liouville-von Neumann equation with dissipation. By considering weak drive fields and a cold Ohmic environment with a high cutoff frequency, we use the Markovian Lindblad master equation as a point of comparison for the SLED method and study the influence of the bath-induced energy shift on the qubit dynamics. We also propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit. In addition, we study signatures of the well-known Mollow triplet and observe its meltdown owing to dissipation in an experimentally feasible parameter regime of circuit electrodynamics. Besides shedding light on the practical limitations of the Lindblad equation, we expect our results to inspire future experimental research on engineered open quantum systems, the accurate modeling of which may benefit from non-perturbative methods.

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Pulse engineering for population control under dephasing and dissipation

Cited by 29 publications

References 31 publications

Trajectory tracking for non-Markovian quantum systems

Trajectory tracking for non-Markovian quantum systems

Demonstration of dynamical control of three-level open systems with a superconducting qutrit

Assessment of weak-coupling approximations on a driven two-level system under dissipation

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