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Symmetry
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Shortcuts to Adiabaticity with and without PT Symmetry Systems: Theory,...
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Shortcuts to Adiabaticity with and without PT Symmetry Systems: Theory, Experiments and Applications

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 October 2024 | Viewed by 2233

Special Issue Editors

Dr. Hongzhi Shen

E-Mail Website
Guest Editor
Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China
Interests: quantum optics; quantum open system theory (non-Markovian); non-Hermitian quantum optics; quantum optimal control; quantum devices; photon blockade theory; photon bound state theory; quantum response theory; quantum dispersive readout theory; Bose-Einstein condensate
Dr. Yehong Chen

E-Mail Website
Guest Editor
Theoretical Quantum Physics Laboratory, Riken, Tokyo, Japan
Interests: quantum optics; quantum information processing; quantum computation

Special Issue Information

Dear Colleagues,

Shortcuts to adiabaticity are alternative fast processes which reproduce the same final state as the adiabatic process in a finite or even shorter time. In addition, shortcuts to adiabaticity are also fast routes to the final results of a system, where slow and adiabatic changes are produced by controlling the parameters of a system. In recent years, shortcuts to adiabaticity have been extended from Hermitian systems to non-Hermitian systems with non-Hermitian off-diagonal elements without parity–time (PT) symmetry. Because of their possible applications in quantum information processing and quantum control, shortcuts to adiabaticity with quantum open systems have attracted widespread attention. This Special Issue will attempt to cover the whole field of shortcuts to adiabaticity with quantum open systems in its widest sense, together with the related theory, experiments, and applications in various facets. We cordially and earnestly invite researchers to contribute their original and high-quality research papers which will inspire advances in theory, experiments, and their applications in shortcuts to adiabaticity with and without PT symmetry  systems. Potential topics include, but are not limited to:

  • Shortcuts to adiabaticity with quantum open systems;
  • Shortcuts to adiabaticity with and without PT symmetry;
  • Basic theory of shortcuts to adiabaticity;
  • Experimental realization of shortcuts to adiabaticity;
  • Physical application of shortcuts to adiabaticity;
  • Transitionless quantum driving;
  • “Fast-forward” scaling;
  • Inverse engineering based on Lewis–Riesenfeld in variants;
  • Rotating-wave approximation and non-rotating-wave approximation;
  • Shortcuts to adiabaticity in non-Hermitian systems;
  • Shortcuts to adiabaticity of pseudohermite system.

Dr. Hongzhi Shen
Dr. Yehong Chen
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 submissions that pass pre-check are 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. Symmetry 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 2400 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
  • quantum open systems
  • quantum optics
  • population transfer
  • non-Hermitian systems
  • pseudo-Hermitian systems
  • PT symmetry systems
  • without PT symmetry systems
  • Lewis–Riesenfeld in variants
  • non-rotating-wave couplings
  • non-Markovian effects
  • adiabaticity condition the adiabatic theorem
  • energy cost of shortcuts to adiabaticity
  • master equation

Published Papers (2 papers)

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Research

12 pages, 1011 KiB  
Article
Maximizing Four-Wave Mixing in Four-Subband Semiconductor Quantum Wells with Optimal-Shortcut Spatially Varying Control Fields
by Dionisis Stefanatos and Emmanuel Paspalakis
Symmetry 2024, 16(3), 261; https://doi.org/10.3390/sym16030261 - 21 Feb 2024
Viewed by 537
Abstract
In the present article, we derive optimal spatially varying control fields, which maximize the four-wave mixing efficiency in a four-subband semiconductor asymmetric double quantum well, following analogous works in atomic systems. The control fields coherently prepare the medium, where a weak probe pulse [...] Read more.
In the present article, we derive optimal spatially varying control fields, which maximize the four-wave mixing efficiency in a four-subband semiconductor asymmetric double quantum well, following analogous works in atomic systems. The control fields coherently prepare the medium, where a weak probe pulse is propagated and eventually converted to a signal pulse at the output. The optimal fields, which maximize the conversion efficiency for a given propagation length, are obtained by applying optimal control theory to a simplified form of propagation equations but are tested with numerical simulations using the full set of Maxwell–Schrödinger equations, which accurately describe the propagation of light pulses in the medium. For short propagation distances, the proposed optimal scheme outperforms a simpler spatially changing control protocol that we recently studied, while for larger distances, the efficiency of both protocols approaches unity. The present work is expected to find application in frequency conversion between light beams, conversion between light beams carrying orbital angular momentum, and nonlinear optical amplification. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity with and without PT Symmetry Systems: Theory, Experiments and Applications)
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19 pages, 19140 KiB  
Article
Quantifying the Nonadiabaticity Strength Constant in Recently Discovered Highly Compressed Superconductors
by Evgeny F. Talantsev
Symmetry 2023, 15(9), 1632; https://doi.org/10.3390/sym15091632 - 24 Aug 2023
Cited by 1 | Viewed by 1277
Abstract
Superconductivity in highly pressurized hydrides has become the primary direction for the exploration of the fundamental upper limit of the superconducting transition temperature, Tc, after Drozdov et al. (Nature 2015, 525, 73) discovered a superconducting state with [...] Read more.
Superconductivity in highly pressurized hydrides has become the primary direction for the exploration of the fundamental upper limit of the superconducting transition temperature, Tc, after Drozdov et al. (Nature 2015, 525, 73) discovered a superconducting state with Tc=203 K in highly compressed sulfur hydride. To date, several dozen high-temperature superconducting polyhydrides have been discovered and, in addition, it was recently reported that highly compressed titanium and scandium exhibit record-high Tc (up to 36 K). This exceeded the Tc=9.2 K value of niobium many times over, which was the record-high  Tc ambient pressure metallic superconductor. Here, we analyzed the experimental data for the recently discovered high-pressure superconductors (which exhibit high transition temperatures within their classes): elemental titanium (Zhang et al., Nature Communications 2022; Liu et al., Phys. Rev. B 2022), TaH3 (He et al., Chinese Phys. Lett. 2023), LaBeH8 (Song et al., Phys. Rev. Lett. 2023), black phosphorous (Li et al., Proc. Natl. Acad. Sci. 2018; Jin et al., arXiv 2023), and violet (Wu et al., arXiv 2023) phosphorous to reveal the nonadiabaticity strength constant TθTF (where Tθ is the Debye temperature, and TF the Fermi temperature) in these superconductors. The analysis showed that the δ-phase of titanium and black phosphorous exhibits TθTF scores that are nearly identical to those associated with A15 superconductors, while the studied hydrides and violet phosphorous exhibit constants in the same ballpark as those of H3S and LaH10. Full article
(This article belongs to the Special Issue Shortcuts to Adiabaticity with and without PT Symmetry Systems: Theory, Experiments and Applications)
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