QUANTUM-Seminar

Recent experiments in arrays of optical waveguides have shown (fractionally) quantized topological transport of solitons [1,2]. I will present a fully quantum mechanical description of such topological pumps of bosons with attractive on-site interactions [3]. The transport of bound N-particle composite objects in a 1D lattice upon cyclic adiabatic changes of the Hamiltonian is determined by the elective band-structure of its center-of-mass (COM) motion. If the COM band is energetically separated from all other many-body states in a full cycle the transport is quantized and characterized by a many-body Chern number. Increasing the interaction energy leads to a successive merging of COM bands resulting in topological phase transitions from phases with integer quantized transport through different phases of fractional transport, characterized by a non-trivial Wilson loop, and eventually to a phase without topological transport. I will discuss an approach to numerically calculate the Chern numbers and Wilson loops for composites that are sufficiently tightly conned. Furthermore, I present a minimal model for which we can explicitly construct an elective single-particle Hamiltonian of the bound object that shows an interaction-induced transition between phases of different quantized transport. In an outlook I will discuss the extension of the composite approach to topological properties of self-bound many-particle states in 2D lattices. References [1] M. Jurgensen, S. Mukherjee, and M. C. Rechtsman, Quantized nonlinear Thouless pumping, Nature 596, 63 (2021) [2] M. Jurgensen, S. Mukherjee, C. Jorg, and M. C. Rechtsman, Quantized fractional Thouless pumping of solitons, Nature Physics 19, 420 (2023) [3] Julius Bohm, Hugo Gerlitz, Christina Jorg, and Michael Fleischhauer Quantum theory of fractional topological pumping of lattice solitons, arxiv:2506.00090

High-resolution spectroscopic measurements in few-electron atoms and molecules are increasingly used as a means to test the foundations of the theory of atomic and molecular structure. Modern first-principles calculations of the energy-level structure of few-electron atomic and molecular systems consider all known interactions [1-4]. Systematic comparisons of the results of such calculations with precise spectroscopic measurements in simple atoms and molecules such as H, He, H2+, H2 and He2+ aim at searching for effects not yet included in the theory (see, e.g., Refs. [5,6]) and at reducing the uncertainties of physical constants, (see e.g., Refs. [7,8]). This talk will present precision spectroscopic measurements of transitions to high Rydberg states of H, He, and H2, which we use to determine accurate values of their ionization energies and, in the case of H2, also of the spin-rovibrational energy-level structure of H2+. The talk will describe our experimental strategy to overcome limitations in the precision and accuracy of the measurements originating from the Doppler effect, the Stark effect, and the laser-frequency calibration. The experimental results will then be compared with the results of first-principles calculations that include the treatment of finite-nuclear-size effects and relativistic and quantum-electrodynamics corrections up to high order in the fine-structure constant. Recent aspects of these investigations include a new determination of the Rydberg constant [9] as a contribution to the resolution of the proton-size puzzle [10], a new method to record Doppler-free single-photon excitation spectra in the visible and the UV spectral ranges [11], a “zero-quantum-defect” method to determine the energy-level structure of homonuclear diatomic molecular ions such as H2+ [12], and a 9 discrepancy between theory and experiment in the ionization energies of metastable (1s2s 3S1) 4He [13] and 3He [14]. [1] E. Tiesinga, P. J. Mohr, D. B. Newell, and B. N. Taylor, Rev. Mod. Phys. 93, 025010 (2021) [2] V. Korobov, L. Hilico and J.-Ph. Karr, Phys. Rev. Lett. 118, 233001 (2017) [3] V. Patkos, V. A. Yerokhin, and K. Pachucki, Phys. Rev. A 103, 042809 (2021) [4] M. Puchalski, J. Komasa, P. Czachorowski, and K. Pachucki, Phys. Rev. Lett. 122, 103003 (2019) [5] C. Delaunay et al., Phys. Rev. Lett. 130, 121801 (2023) [6] M. Germann et al., Phys. Rev. Res. 3, L022028 (2021) [7] A. Grinin et al., Science 370(6520), 1061-1066 (2020) [8] S. Schiller, J.-Ph. Karr, Phys. Rev. A 109, 042825 (2024) [9] S. Scheidegger, and F. Merkt, Phys. Rev. Lett. 132, 113001 (2024) [10] R. Pohl et al., Nature (London) 466, 213 (2010); A. Antognini et al., Science 339(6118), 417 (2013) [11] G. Clausen, S. Scheidegger, J. A. Agner, H. Schmutz, and F. Merkt, Phys. Rev. Lett. 131, 103001 (2023) [12] I. Doran, N. Hölsch, M. Beyer, and F. Merkt, Phys. Rev. Lett. 132, 073001 (2024) [13] G. Clausen, K. Gamlin, J. A. Agner, H. Schmutz, and F. Merkt, Phys. Rev. A 111, 012817 (2025) [14] G. Clausen and F. Merkt, Phys. Rev. Lett. 134, 223001 (2025)

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The seminar will provide a glimpse of some elements of the rapidly evolving field of quantum sensing, with a particular focus on applications in particle physics. Specific approaches involving quantum systems, such as low-dimensional systems or manipulations of ensembles of quantum systems, hold great promise for improving high-energy particle physics detectors, particularly in areas like calorimetry, tracking, and timing. The use of quantum sensors for high-precision measurements, such as precision spectroscopy of novel atomic, molecular or ionic systems, as well as the development of new quantum sensors based on superconducting circuits, ion and particle traps, crystals, and nanomaterials, are equally relevant for low energy measurements that rely on high energy physics infrastructures. Significant advances and improvements in existing or future quantum technologies will be necessary to address such topics related to the dark universe, the detection of relic neutrinos, precision tests of symmetries and of the standard model and probing general foundational issues in physics. The seminar will thus also feature discussions of the Quantum Sensing Initiatives at CERN and the ECFA R&D Roadmap on Quantum Sensing and Advanced Technologies and will discuss options for future collaborations in the context of the recently approved DRD5 implementation of the roadmap.

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