Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands

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Bibliographische Detailangaben
Hauptverfasser:	Song, B. Q., Smith, J. D. H., Jiang, T., Yao, Y. X., Wang, J.
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Quantum Physics
Online-Zugang:	Acceder al recurso
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author	Song, B. Q. Smith, J. D. H. Jiang, T. Yao, Y. X. Wang, J.
author_facet	Song, B. Q. Smith, J. D. H. Jiang, T. Yao, Y. X. Wang, J.
contents	Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized "step" represents a distinct topological state. Here, we seek a counterpart for "visualizing" quantum geometry, which is a broader concept. We show how geometry emerges in quantum as an intrinsic consequence of unitary evolution, composing a frame work compatible with quantum metric and independent of specific details or approximations, suggesting quantum geometry may have widespread applicability. Indeed, we exemplify geometric observables, such as oscillation, dephasing, in spin and band scenarios. Anomalies, supported by both analytic and numerical solutions, underscore the advantages of adopting a geometric perspective, potentially yielding distinguishable experimental signatures.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_15845
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands Song, B. Q. Smith, J. D. H. Jiang, T. Yao, Y. X. Wang, J. Quantum Physics Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized "step" represents a distinct topological state. Here, we seek a counterpart for "visualizing" quantum geometry, which is a broader concept. We show how geometry emerges in quantum as an intrinsic consequence of unitary evolution, composing a frame work compatible with quantum metric and independent of specific details or approximations, suggesting quantum geometry may have widespread applicability. Indeed, we exemplify geometric observables, such as oscillation, dephasing, in spin and band scenarios. Anomalies, supported by both analytic and numerical solutions, underscore the advantages of adopting a geometric perspective, potentially yielding distinguishable experimental signatures.
title	Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands
topic	Quantum Physics
url	https://arxiv.org/abs/2406.15845

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