Shortcuts to Adiabaticity

By E. Torrontegui, S. Ibáñez, Sofía Martínez-Garaot, M. Modugno, A. del Campo, David Guéry-Odelin, Andreas Ruschhaupt, Xi Chen, Juan Gonzalo Muga. 2012

536 citations recorded by the source corpus.

Quantum adiabatic processes--that keep constant the populations in the instantaneous eigenbasis of a time-dependent Hamiltonian--are very useful to prepare and manipulate states, but take typically a long time. This is often problematic because decoherence and noise may spoil the desired final state, or because some applications require many repetitions. "Shortcuts to adiabaticity" are alternative fast processes which reproduce the same final populations, or even the same final state, as the adiabatic process in a finite, shorter time. Since adiabatic processes are ubiquitous, the shortcuts span a broad range of applications in atomic, molecular, and optical physics, such as fast transport of ions or neutral atoms, internal population control, and state preparation (for nuclear magnetic resonance or quantum information), cold atom expansions and other manipulations, cooling cycles, wavepacket splitting, and many-body state engineering or correlations microscopy. Shortcuts are also relevant to clarify fundamental questions such as a precise quantification of the third principle of thermodynamics and quantum speed limits. We review different theoretical techniques proposed to engineer the shortcuts, the experimental results, and the prospects.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6c8c436c7d1e97bcf78d820da735c4d0a6214e0f

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Perspectives of quantum annealing: methods and implementations (2019, background): “A strategy to overcome this fundamental limitation is to leave the adiabatic approximation and introduce advantageously designed non-adiabatic methods, so-called counter-diabatic driving [202–206] and/or short-cut to adiabaticity [207–209].”
Shortcuts to adiabaticity: Concepts, methods, and applications (2019, methodology): “Several recent reviews on partial aspects or overlapping topics are useful companions: Torrontegui et al. (2013a) is the previous most comprehensive review on the subject, but the number of new applications in previously unexplored fields, experiments, and theoretical results since its publication…”
Thermodynamics of quantum systems under dynamical control (2015, background): “Shortcuts to adiabaticity have been motivated by these concerns (Deng et al., 2013; Torrontegui et al., 2013).”
Training Schrödinger’s cat: quantum optimal control (2015, methodology): “To address this issue, shortcuts to adiabaticity were developed [413].”
Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system (2016, unknown): “ntary Information for numerical results for MOD-SATD pulses. In order for Ω,É ÌºÍ:P; to not exceed the original Ω of the Vitanov pulse, the smallest Ω that can be corrected is ΩàÜá L . , (8) using which we define an adiabaticity parameter ΩΩ⁄àÜá. When this parameter is applied to the theoretical ca”
Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe (2022, background): “which have recently been reviewed in depth [182, 269, 568].”