Single-molecule magnets are molecular complexes proposed to be useful for information storage and quantum information processing applications. In the quest for multilevel systems that can act as Quits, two dysprosium-based isotopologues were synthesized and characterized. The isotopologues are [Dy(tmhd)(tape)] () and [Dy(tmhd)(tape)] (), where tmhd = 2,2,6,6-tetramethylheptandionate and tape = 1,6,7,12-tetraazaperylene. Both complexes showed slow relaxation at a zero applied magnetic field with dominant Orbach and Raman relaxation mechanisms. μSQUID studies at milli-Kelvin temperatures reveal quasi-single ion loops, in contrast with the expected S-shape (near zero field) butterfly loops, characteristic of antiferromagnetically coupled dimeric complexes. Through analysis of the low-temperature data, we find that the interaction operating between Dy(III) is small, leading to a small exchange biasing from the zero-field transition. The resulting indirectly coupled nuclear states are degenerate or possess a small energy difference between them. We, therefore, conclude that for the creation of Quits with enlarged Hilbert spaces, shorter Dy(III)···Dy(III) distances are deemed essential.
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http://dx.doi.org/10.1021/acs.inorgchem.3c02246 | DOI Listing |
Phys Rev Lett
December 2024
Joint Center for Quantum Information and Computer Science, NIST and University of Maryland, College Park, Maryland 20742, USA.
A key objective in nuclear and high-energy physics is to describe nonequilibrium dynamics of matter, e.g., in the early Universe and in particle colliders, starting from the standard model of particle physics.
View Article and Find Full Text PDFNat Commun
January 2025
QTF Centre of Excellence, Department of Physics, University of Helsinki, Helsinki, Finland.
The emergence of a local effective theory from a more fundamental theory of quantum gravity with seemingly fewer degrees of freedom is a major puzzle of theoretical physics. A recent approach to this problem is to consider general features of the Hilbert space maps relating these theories. In this work, we construct approximately local observables, or overlapping qubits, from such non-isometric maps.
View Article and Find Full Text PDFStud Hist Philos Sci
December 2024
Department of Mathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany. Electronic address:
This paper combines mathematical, philosophical, and historical analyses in a comprehensive investigation of the dynamical foundations of the formalism of orthodox quantum mechanics. The results obtained include: (i) A deduction of the canonical commutation relations (CCR) from the tenets of Matrix Mechanics; (ii) A discussion of the meaning of Schrödinger's first derivation of the wave equation that not only improves on Joas and Lehner's 2009 investigation on the subject, but also demonstrates that the CCR follow of necessity from Schrödinger's first derivation of the wave equation, thus correcting the common misconception that the CCR were only posited by Schrödinger to pursue equivalence with Matrix Mechanics; (iii) A discussion of the mathematical facts and requirements involved in the equivalence of Matrix and Wave Mechanics that improves on F. A.
View Article and Find Full Text PDFStarting from the extension to complex arguments of the ordinary Fourier transform (FT) (due to Paley and Wiener) and from results concerning reproducing kernels in Hilbert spaces, we define a new, to the best of our knowledge, class of partially coherent planar sources presenting a structured degree of coherence. Such sources are shown to be of the Schell-model type as far as one of the transverse coordinates is concerned, while they depend on the average value of the orthogonal coordinate of the two points. Some examples are shown in detail, but the proposed approach can be easily extended to infinitely many other sources.
View Article and Find Full Text PDFPhilos Trans A Math Phys Eng Sci
December 2024
School of Science, Centre for Quantum Dynamics, Griffith University, Nathan, Australia.
We place Loudon's quantum treatment of optical phase in in its historical context, and outline research that it inspired. We show how it led Pegg and Barnett to their quantum phase formalism, explaining the challenges that they overcame to define phase operators and phase eigenstates rigorously. We show how the formalism essentially constructs an extended rigged Hilbert space that supports strong limits of the phase operators and includes their eigenstates.
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