Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments

Nimbalkar, Manoj; Zeier, Robert; Neves, Jorge Luiz; Elavarasi, S. Begam; Yuan, Haidong; Khaneja, Navin; Dorai, Kavita; Glaser, Steffen J.

doi:10.1103/physreva.85.012325

Cited by 25 publications

(35 citation statements)

References 71 publications

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“…Significant progress has been made in understanding of how to optimally control coupled spin systems with more than two spins [65,71,86,87,[313][314][315][356][357][358][359][360][361][362][363][364][365][366][367][368][369][370][371][372][373][374]. Recent advances include robust broadband and band-selective pulses in NMR and ESR.…”

Section: State Of the Artmentioning

confidence: 99%

“…State preparation protocols include transport of atoms [436] and ions [437,438] as well as transport in a spin chain [86,356,359,363,369,439,440], photon storage [441], preparation of squeezed states [442], cluster-states [443], non-classical states in a cavity [444] or in spin chains [364,365], as well as preparation of a quantum register [122] and many-body entangled states [123,445,446] -to name just a few.…”

Section: State Of the Artmentioning

confidence: 99%

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Training Schrödinger’s cat: quantum optimal control

et al. 2015

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Abstract. It is control that turns scientific knowledge into useful technology: in physics and engineering it provides a systematic way for driving a dynamical system from a given initial state into a desired target state with minimized expenditure of energy and resources. As one of the cornerstones for enabling quantum technologies, optimal quantum control keeps evolving and expanding into areas as diverse as quantumenhanced sensing, manipulation of single spins, photons, or atoms, optical spectroscopy, photochemistry, magnetic resonance (spectroscopy as well as medical imaging), quantum information processing and quantum simulation. In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems. We address key challenges and sketch a roadmap for future developments. ForewordThe authors of this paper represent the QUAINT consortium, a European Coordination Action on Optimal Control of Quantum Systems, funded by the European Commission Framework Programme 7, Future Emerging Technologies FET-OPEN programme and the Virtual Facility for Quantum Control (VF-QC). This consortium has considerable expertise in optimal control theory and its applications to quantum systems, both in existing areas, such as spectroscopy and imaging, and in emerging quantum technologies, such as quantum information processing, quantum communication, quantum simulation a e-mail: fwm@lusi.uni-sb.de and quantum sensing. The list of challenges for quantum control has been gathered by a broad poll of leading researchers across the communities of general and mathematical control theory, atomic, molecular-, and chemical physics, electron and nuclear magnetic resonance spectroscopy, as well as medical imaging, quantum information, communication and simulation. 144 experts in these fields have provided feedback and specific input on the state of the art, mid-term and long-term goals. Those have been summarized in this document, which can be viewed as a perspectives paper, providing a roadmap for the future development of quantum control. Because such an endeavour can hardly ever be complete (there are many additional areas of quantum control applications, such as spintronics, nano-optomechanical technologies etc.), this roadmap

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Section: State Of the Artmentioning

confidence: 99%

Section: State Of the Artmentioning

confidence: 99%

Training Schrödinger’s cat: quantum optimal control

et al. 2015

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“…Another option could be to consider the dynamics of a linear chain of three coupled spins subjected to radio-frequency magnetic fields [20,21,22]. Previous studies have shown that the optimal controlled trajectories of this system are given by solutions of Euler equations [23,24]. Work is in progress on these different points.…”

Section: Discussionmentioning

confidence: 99%

“…We search for a solution ǫ 0 of the above equation in the form (24) with u a differentiable function of λ, µ, with u(0, 0) = 0. Note that ǫ 0 (u, λ, µ) is smooth at (u, λ, µ) = (0, 0, 0).…”

Section: Computation Of ǫmentioning

confidence: 99%

The tennis racket effect in a three-dimensional rigid body

Damme¹,

Mardešić²,

Sugny³

2017

Physica D: Nonlinear Phenomena

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We propose a complete theoretical description of the tennis racket effect, which occurs in the free rotation of a three-dimensional rigid body. This effect is characterized by a flip (π-rotation) of the head of the racket when a full (2π) rotation around the unstable inertia axis is considered. We describe the asymptotics of the phenomenon and conclude about the robustness of this effect with respect to the values of the moments of inertia and the initial conditions of the dynamics. This shows the generality of this geometric property which can be found in a variety of rigid bodies. A simple analytical formula is derived to estimate the twisting effect in the general case. Different examples are discussed.

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“…However, the same transfer (and amplification) can be obtained relying on the evolution driven by spin-spin couplings; this alternative strategy can in principle lead to a transfer speed-up [94][95][96] thanks to optimal control techniques. More generally, QST driven by interactions between spins in the chain, without the requirement of single-spin control, is a more powerful paradigm that can in principle be implemented in larger spin chains.…”

Section: Simulations With Liquid-state Nmrmentioning

confidence: 99%