Quantum state conversion in opto-electro-mechanical systems via shortcut to adiabaticity

Zhou, Xiao; Liu, Bao-Jie; Shao, L. B.; Zhang, Xin-Ding; Xue, Zheng‐Yuan

doi:10.1088/1612-202x/aa7d2f

Cited by 20 publications

(12 citation statements)

References 48 publications

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“…We restrict our state transfer protocol in a single excitation subspace formed by

false{false| a_{1} false⟩, false| b false⟩, false| a_{2} false⟩ false}

in low temperatures, where

false| a_{1} {⟩ = false[1, 0, 0 false]}^{T}

false| a_{2} {⟩ = false[0, 0, 1 false]}^{T}

and

false| b false⟩ = {[0, 1, 0]}^{T}

represent the states with one excitation of the two optical cavities and the mechanical oscillator, respectively. [ 52,53 ] In this case, the Hamiltonian (3) describes an effective two‐mode system whose dynamics is governed by the Schrödinger equation

i \partial_{t} false| ψ (t) false⟩ = {\overset{H}{true}}_{normalI}^{'} false(t false) false| ψ (t) false⟩

. The evolution state

| ψ (t) ⟩

can generally be parameterized in the

{| c ⟩, | b ⟩}

subspace (where bright state

false| c false⟩ = false(false| a_{1} false⟩ + false| a_{2} false⟩ false) / \sqrt{2}

) by two time‐dependent angles

α (t)

and

β (t)

as well as a global phase

μ (t)

, given by ref.…”

Section: Photon State Transfer With Stamentioning

confidence: 99%

“…Very recently, the STA approach has been extended to optomechanical systems for fast quantum state conversion. [ 52–56 ] Despite less time and high fidelity features provided in these schemes, control errors in system parameters, which are always inevitable in real experiments, still impose detrimental impacts on robust operations. Fortunately, the combination of STA and optimal control technique (OCT) enables significantly enhanced robustness of population transfer by designing specifically shaped pulses.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Wang

Feng

et al. 2021

Annalen der Physik

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Cavity optomechanical systems converting quantum state between photons facilitate the development of scalable quantum information processors. The control of state transfer in such systems require producing fast and robust transfer to the target state with high fidelity. Shortcuts to adiabaticity (STA) has recently been proved a powerful method for performing fast quantum state conversion in optomechanical systems, which is, however, not robust enough against deviations in control parameters. Here a scheme to realize robust photon state transfer in a universal cavity optomechanical system by combining STA with optimal control technique (OCT) is proposed. Minimizing systematic error sensitivities with adjustable optimization parameters allows to control simultaneously the transfer speed, fidelity, and robustness against errors. Numerical results show that the optimized scheme is insensitive to deviations in optomechanical coupling and frequency detuning over a broad range. The effects of dissipation on the transfer fidelity are also examined for practical implementation of the scheme in realistic scenarios.

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“…We restrict our state transfer protocol in a single excitation subspace formed by

false{false| a_{1} false⟩, false| b false⟩, false| a_{2} false⟩ false}

in low temperatures, where

false| a_{1} {⟩ = false[1, 0, 0 false]}^{T}

false| a_{2} {⟩ = false[0, 0, 1 false]}^{T}

and

false| b false⟩ = {[0, 1, 0]}^{T}

i \partial_{t} false| ψ (t) false⟩ = {\overset{H}{true}}_{normalI}^{'} false(t false) false| ψ (t) false⟩

. The evolution state

| ψ (t) ⟩

can generally be parameterized in the

{| c ⟩, | b ⟩}

subspace (where bright state

false| c false⟩ = false(false| a_{1} false⟩ + false| a_{2} false⟩ false) / \sqrt{2}

) by two time‐dependent angles

α (t)

and

β (t)

as well as a global phase

μ (t)

, given by ref.…”

Section: Photon State Transfer With Stamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Wang

Feng

et al. 2021

Annalen der Physik

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show abstract

“…To address this concern, we generalize the physical idea of the so-called shortcuts to adiabaticity (STA) [34][35][36][37][38][39][40][41][42][43] method to accelerate the cooling process but keep the merits of the adiabatic passage. The STA method constructs an explicitly auxiliary Hamiltonian Ĥcd (t) to eliminate nonadiabatic transitions and compel the system to follow the eigenstates of Ĥapp (t) [38,39], thus implementing perfect excitation transfer at finite evolution periods [44][45][46]. In particular, the STA method has been experimentally implemented in various platforms [47][48][49][50][51][52][53][54][55][56][57][58][59][60], including nitrogen-vacancy-center systems [47,50,58], trapped ions [48,54], cold-atom systems [49,52], superconducting circuits [51,53,56,57,59], and nuclearmagnetic-resonance systems [55,60].…”

Section: Introductionmentioning

confidence: 99%

Accelerated ground-state cooling of an optomechanical resonator via shortcuts to adiabaticity

Liu,

Yin,

Huang

et al. 2021

Preprint

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Ground-state cooling of mechanical resonators is an important task in quantum optomechanics, because it is a necessary prerequisite for creation, manipulation, and application of macroscopic mechanical coherence. Here, we propose a transient-state scheme to accelerate ground-state cooling of a mechanical resonator in a three-mode loop-coupled optomechanical system via shortcuts to adiabaticity (STA). We consider four kinds of coupling protocols and calculate the evolution of the mean phonon number of the mechanical resonator in both the adiabatic and STA cases. We verify that the ground-state cooling of the mechanical resonator can be achieved with the STA method in a much shorter period. The STA method can also be generalized to accelerate other adiabatic processes in cavity optomechanics, and hence this work will open up a new realm of fast optomechanical manipulations.

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“…Some effective protocols for state transfer between optical modes are reported with adiabatic methods [40][41][42], nonadiabatic approaches [42] and shortcuts to adiabaticity technique. [43,44]. By using optomechanical interactions [45][46][47][48][49][50][51][52], the protocols are completed successfully by tuning coupling strengths very well to satisfy technique constraints.…”

Section: Introductionmentioning

confidence: 99%

Frequency-tuning-induced state transfer in optical microcavities

Zhang

Kong

et al. 2020

Photon. Res.

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Quantum state transfer in optical microcavities plays an important role in quantum information processing, and is essential in many optical devices, such as optical frequency converter and diode. Existing schemes are effective and realized by tuning the coupling strengths between modes. However, such approaches are severely restricted due to the small amount of strength that can be tuned and the difficulty to perform the tuning in some situations, such as on-chip microcavity system. Here, we propose a novel approach that realizes the state transfer between different modes in optical microcavities by tuning the frequency of an intermediate mode. We showed that for typical functions of frequency-tuning, such as linear and periodic functions, the state transfer can be realized successfully with different features. To optimize the process, we use gradient descent technique to find an optimal tuning function for the fast and perfect state transfer. We also showed that our approach has significant nonreciprocity with appropriate tuning variables, where one can unidirectionally transfer a state from one mode to another, but the inverse direction transfer is forbidden. This work provides an effective method for controlling the multimode interactions in on-chip optical microcavities via simple operations and it has practical applications in all-optical devices.

show abstract

Quantum state conversion in opto-electro-mechanical systems via shortcut to adiabaticity

Cited by 20 publications

References 48 publications

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Accelerated ground-state cooling of an optomechanical resonator via shortcuts to adiabaticity

Frequency-tuning-induced state transfer in optical microcavities

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