Special Issue "Shortcuts to Adiabaticity"

A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: 31 December 2020.

Special Issue Editors

Prof. Dr. J. Gonzalo Muga
Website
Guest Editor
Departamento de Química Física, UPV-EHU, Apdo 644 Bilbao, Spain
Interests: time in quantum mechanics; berry phase, aharonov-anandan phase, lewis-riesenfeld phase; short and long time deviations from exponential decay, Zeno time; moshinsky shutter and quantum transients; adiabatic and sudden approximations, shortcuts to adiabaticity; time reversal invariance; tunnelling times, arrival times, times of events; cold atoms and ions; quantum technologies
Prof. David Guéry-Odelin
Website
Guest Editor
Université de Toulouse, Toulouse, France
Interests: fast-forward; counterdiabatic driving; fast quantum control; out-of-equilibrium statistical physics; quantum transport
Dr. Andreas Ruschhaupt
Website
Guest Editor
University College Cork, Cork, Ireland
Interests: quantum control; shortcuts to adiabaticity; quantum optics; time in quantum mechanics
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Special Issue Information

Dear Colleagues,

Driving a system by slowly changing the control parameters guarantees, ideally, no excitations from the initial to the final setting, and the same final energies independent of the exact (smooth) trajectory of the parameters. Two main drawbacks of this ``adiabatic’’ approach are the length of time it takes and the fact that non-ideal, noisy conditions may spoil the intended outcome. Even so, adiabatic methods are ubiquitous in physics, chemistry, and engineering. 

Shortcuts to adiabaticity (STA) are a set of techniques to get the same results as the adiabatic methods in a short time, allowing for some transient excitations. The main approaches are based on invariants, fast-forward or counterdiabatic driving, inverse engineering, and local adiabatic methods, possibly hybridized with optimal control theory, perturbative, iterative, Lie-algebraic, and variational methods. Most of these approaches produce families of parameter paths, which can be used to optimize resilience with respect to noise and perturbations. Quantum physics has been the main application field, since the delicate quantum coherence is easily degraded in slow manipulations, but preserving it is essential to develop new quantum technologies. A further motivation is the possibility to produce microscopic engines or refrigerators that are both efficient and powerful. Other fields where STA are being applied are optics, to produce more compact devices; classical or stochastic mechanics; physical chemistry; and engineering.

Shortcuts play a very practical role, but also imply fundamental questions such as determining the trade-off relations and limits for process time, energy consumption, or information needed. This Special Issue will reflect the current, rich scenario of methods and applications of shortcuts to adiabaticity.

Prof. J. Gonzalo Muga
Prof. David Guéry-Odelin
Dr. Andreas Ruschhaupt
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • shortcuts to adiabaticity;
  • counterdiabatic driving;
  • invariant-based engineering;
  • fast-forward dynamics;
  • superadiabaticity;
  • cold atoms;
  • atom optics, superfluidity;
  • classical chaos;
  • quantum chaos;
  • quantum simulation;
  • quantum phase transition

Published Papers (4 papers)

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Research

Open AccessFeature PaperArticle
Nonadiabatic Energy Fluctuations of Scale-Invariant Quantum Systems in a Time-Dependent Trap
Entropy 2020, 22(5), 515; https://doi.org/10.3390/e22050515 - 30 Apr 2020
Abstract
We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms of the initial expectation values of the second moments [...] Read more.
We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms of the initial expectation values of the second moments of the Hamiltonian, square position, and squeezing operators. Nonadiabatic features are expressed in terms of the scaling factor governing the size of the atomic cloud, which can be extracted from time-of-flight images. We apply this exact relation to a number of examples: the single-particle harmonic oscillator, the one-dimensional Calogero-Sutherland model, describing bosons with inverse-square interactions that includes the non-interacting Bose gas and the Tonks-Girdardeau gas as limiting cases, and the unitary Fermi gas. We illustrate these results for various expansion protocols involving sudden quenches of the trap frequency, linear ramps and shortcuts to adiabaticity. Our results pave the way to the experimental study of nonadiabatic energy fluctuations in driven quantum fluids. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity)
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Open AccessArticle
Invariant-Based Inverse Engineering for Fast and Robust Load Transport in a Double Pendulum Bridge Crane
Entropy 2020, 22(3), 350; https://doi.org/10.3390/e22030350 - 18 Mar 2020
Abstract
We set a shortcut-to-adiabaticity strategy to design the trolley motion in a double-pendulum bridge crane. The trajectories found guarantee payload transport without residual excitation regardless of the initial conditions within the small oscillations regime. The results are compared with exact dynamics to set [...] Read more.
We set a shortcut-to-adiabaticity strategy to design the trolley motion in a double-pendulum bridge crane. The trajectories found guarantee payload transport without residual excitation regardless of the initial conditions within the small oscillations regime. The results are compared with exact dynamics to set the working domain of the approach. The method is free from instabilities due to boundary effects or to resonances with the two natural frequencies. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity)
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Open AccessArticle
Noise Sensitivities for an Atom Shuttled by a Moving Optical Lattice via Shortcuts to Adiabaticity
Entropy 2020, 22(3), 262; https://doi.org/10.3390/e22030262 - 25 Feb 2020
Cited by 3
Abstract
We find the noise sensitivities (i.e., the quadratic terms of the energy with respect to the perturbation of the noise) of a particle shuttled by an optical lattice that moves according to a shortcut-to-adiabaticity transport protocol. Noises affecting different optical lattice parameters, trap [...] Read more.
We find the noise sensitivities (i.e., the quadratic terms of the energy with respect to the perturbation of the noise) of a particle shuttled by an optical lattice that moves according to a shortcut-to-adiabaticity transport protocol. Noises affecting different optical lattice parameters, trap depth, position, and lattice periodicity, are considered. We find generic expressions of the sensitivities for arbitrary noise spectra but focus on the white-noise limit as a basic reference, and on Ornstein–Uhlenbeck noise to account for the effect of non-zero correlation times. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity)
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Open AccessArticle
Towards Generation of Cat States in Trapped Ions Set-Ups via FAQUAD Protocols and Dynamical Decoupling
Entropy 2019, 21(12), 1207; https://doi.org/10.3390/e21121207 - 09 Dec 2019
Cited by 2
Abstract
The high fidelity generation of strongly entangled states of many particles, such as cat states, is a particularly demanding challenge. One approach is to drive the system, within a certain final time, as adiabatically as possible, in order to avoid the generation of [...] Read more.
The high fidelity generation of strongly entangled states of many particles, such as cat states, is a particularly demanding challenge. One approach is to drive the system, within a certain final time, as adiabatically as possible, in order to avoid the generation of unwanted excitations. However, excitations can also be generated by the presence of dissipative effects such as dephasing. Here we compare the effectiveness of Local Adiabatic and the FAst QUasi ADiabatic protocols in achieving a high fidelity for a target superposition state both with and without dephasing. In particular, we consider trapped ions set-ups in which each spin interacts with all the others with the uniform coupling strength or with a power-law coupling. In order to mitigate the effects of dephasing, we complement the adiabatic protocols with dynamical decoupling and we test its effectiveness. The protocols we study could be readily implemented with state-of-the-art techniques. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity)
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