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Shortcuts to Adiabaticity II

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Thermodynamics".

Deadline for manuscript submissions: closed (17 November 2023) | Viewed by 4701

Special Issue Editors


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Guest Editor
Department of Physics, University College Cork, T12 YN60 Cork, Ireland
Interests: quantum control; shortcuts to adiabaticity; quantum optics; time in quantum mechanics
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Departamento de Química-Física, Facultad de Ciencias, UPV-EHU Apdo 644 Bilbao, Spain
Interests: quantum technologies; shortcuts to adiabaticity; non-Hermitian physics; time in quantum mechanics; trapped ions and cold atoms
Special Issues, Collections and Topics in MDPI journals

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 include 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.

Dr. Andreas Ruschhaupt
Prof. Dr. J. Gonzalo Muga
Guest Editors

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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

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Published Papers (3 papers)

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Research

8 pages, 416 KiB  
Article
Quantum Simulation of the Shortcut to the Adiabatic Passage Using Nuclear Magnetic Resonance
by Xin-Chang Liu and Xiang-Yu Kong
Entropy 2023, 25(7), 1020; https://doi.org/10.3390/e25071020 - 4 Jul 2023
Viewed by 1108
Abstract
Quantum adiabatic shortcut technology provides a technique to accelerate the quantum adiabatic process and has been widely used in various fields of quantum information processing. In this work, we proposed a two-level quantum shortcut adiabatic passage model. Then, exploiting the nuclear magnetic resonance, [...] Read more.
Quantum adiabatic shortcut technology provides a technique to accelerate the quantum adiabatic process and has been widely used in various fields of quantum information processing. In this work, we proposed a two-level quantum shortcut adiabatic passage model. Then, exploiting the nuclear magnetic resonance, we experimentally simulated the dynamics of quantum shortcut adiabatic passage using the water molecules. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity II)
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33 pages, 3737 KiB  
Article
Optimal Pulse Design for Dissipative-Stimulated Raman Exact Passage
by Kaipeng Liu, Dominique Sugny, Xi Chen and Stéphane Guérin
Entropy 2023, 25(5), 790; https://doi.org/10.3390/e25050790 - 12 May 2023
Cited by 5 | Viewed by 1449
Abstract
Quantum control of lossy systems is known to be achieved by adiabatic passage via an approximate dark state relatively immune to loss, such as the emblematic example of stimulated Raman adiabatic passage (STIRAP) featuring a lossy excited state. By systematic optimal control study, [...] Read more.
Quantum control of lossy systems is known to be achieved by adiabatic passage via an approximate dark state relatively immune to loss, such as the emblematic example of stimulated Raman adiabatic passage (STIRAP) featuring a lossy excited state. By systematic optimal control study, via the Pontryagin maximum principle, we design alternative more efficient routes that, for a given admissible loss, feature an optimal transfer with respect to the cost defined as (i) the pulse energy (energy minimization) or (ii) the pulse duration (time minimization). The optimal controls feature remarkably simple sequences in the respective cases: (i) operating far from a dark state, of π-pulse type in the limit of low admissible loss, or (ii) close to the dark state with a counterintuitive pulse configuration sandwiched by sharp intuitive sequences, referred to as the intuitive/counterintuitive/intuitive (ICI) sequence. In the case of time optimization, the resulting stimulated Raman exact passage (STIREP) outperforms STIRAP in term of speed, accuracy, and robustness for low admissible loss. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity II)
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14 pages, 454 KiB  
Article
Fast Driving of a Particle in Two Dimensions without Final Excitation
by Xiao-Jing Lu, Mikel Palmero, Ion Lizuain and Juan Gonzalo Muga
Entropy 2022, 24(11), 1694; https://doi.org/10.3390/e24111694 - 19 Nov 2022
Cited by 1 | Viewed by 1536
Abstract
Controlling the motional state of a particle in a multidimensional space is key for fundamental science and quantum technologies. Applying a recently found two-dimensional invariant combined with linear invariants, we propose protocols to drive a particle in two dimensions so that the final [...] Read more.
Controlling the motional state of a particle in a multidimensional space is key for fundamental science and quantum technologies. Applying a recently found two-dimensional invariant combined with linear invariants, we propose protocols to drive a particle in two dimensions so that the final harmonic trap is translated and rotated with respect to the initial one. These protocols realize a one-to-one mapping between initial and final eigenstates at some predetermined time and avoid any final excitations. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity II)
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