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Learning the Hamiltonian governing a quantum system is a central task in quantum metrology, sensing, and device characterization. Existing Heisenberg-limited Hamiltonian learning protocols either require multi-qubit operations that are…

Quantum Physics · Physics 2026-01-16 Shrigyan Brahmachari , Shuchen Zhu , Iman Marvian , Yu Tong

Improving the detailed understanding of the underlying properties and functions of biomolecules has recently attracted growing interest, enabled by the possibility of real-space imaging of single, intact macromolecules using Scanning…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Tim J. Seifert , Dhaneesh Kumar , Markus Etzkorn , Stephan Rauschenbach , Klaus Kern , Kelvin Anggara , Uta Schlickum

To what extent do individual eigenstates encode information of their underlying Hamiltonian, and how does this depend on their spectral position? For many-body quantum systems, this issue is widely understood in terms of the differing…

Quantum Physics · Physics 2026-05-06 Maksymilian Kliczkowski , Jarosław Pawłowski , Masudul Haque

We introduce a machine learning approach to determine the transition dynamics of silicon atoms on a single layer of carbon atoms, when stimulated by the electron beam of a scanning transmission electron microscope (STEM). Our method is…

Machine learning is used to generate empirical pseudopotentials that characterize the local screened interactions in the Kohn-Sham Hamiltonian. Our approach incorporates momentum-range-separated rotation-covariant descriptors to capture…

Materials Science · Physics 2024-02-08 Rokyeon Kim , Young-Woo Son

Starting from a phenomenological Hamiltonian originally written in terms of angular momentum operators we derive a new quantum angle-based Hamiltonian that allows for a discussion on the quantum spin tunneling. The study of the…

Quantum Physics · Physics 2007-05-23 D. Galetti

The theory of inelastic electron tunneling spectroscopy (IETS) and motions of single adsorbed atoms and molecules on metal surfaces induced by vibrational excitation with a scanning tunneling microscope (STM) is reviewed. The theory of…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 H. Ueba , S. G. Tikhodeev , B. N. J. Persson

With the fast development of quantum technology, the sizes of both digital and analog quantum systems increase drastically. In order to have better control and understanding of the quantum hardware, an important task is to characterize the…

Quantum Physics · Physics 2023-07-05 Wenjun Yu , Jinzhao Sun , Zeyao Han , Xiao Yuan

Determining the stability of molecules and condensed phases is the cornerstone of atomistic modelling, underpinning our understanding of chemical and materials properties and transformations. Here we show that a machine learning model,…

Molecular orbital (MO) is one of the most fundamental concepts for molecules, relating to all branches of chemistry, while scanning tunneling microscopy (STM) has been widely recognized for its potential to measure the spatial distribution…

Chemical Physics · Physics 2025-08-01 Yu Zhu , Renjie Xue , Hao Ren , Yicheng Chen , Wenjie Yan , Bingzheng Wu , Sai Duan , Haiming Zhang , Lifeng Chi , Xin Xu

We have combined scanning tunneling microscopy with inelastic electron tunneling spectroscopy (IETS) and density functional theory (DFT) to study a tetracyanoethylene monolayer on Ag(100). Images show that the molecules arrange in locally…

Materials Science · Physics 2013-07-01 Daniel Wegner , Ryan Yamachika , Xiaowei Zhang , Yayu Wang , Michael F. Crommie , Nicolás Lorente

This chapter takes a microscopic view of quantum tunneling of magnetization (QTM) in single-molecule magnets (SMMs), focusing on the interplay between exchange and anisotropy. Careful consideration is given to the relationship between…

Mesoscale and Nanoscale Physics · Physics 2013-03-04 Junjie Liu , Enrique del Barco , Stephen Hill

Current neural networks for predictions of molecular properties use quantum chemistry only as a source of training data. This paper explores models that use quantum chemistry as an integral part of the prediction process. This is done by…

Chemical Physics · Physics 2018-08-22 Haichen Li , Christopher Collins , Matteus Tanha , Geoffrey J. Gordon , David J. Yaron

Multi-band insulating Bloch Hamiltonians with internal or spatial symmetries, such as particle-hole or inversion, may have topologically disconnected sectors of trivial atomic-limit (momentum-independent) Hamiltonians. We present a…

Disordered Systems and Neural Networks · Physics 2021-04-19 Oleksandr Balabanov , Mats Granath

A proof-of-concept framework for identifying molecules of unknown elemental composition and structure using experimental rotational data and probabilistic deep learning is presented. Using a minimal set of input data determined…

Chemical Physics · Physics 2020-07-01 Michael C. McCarthy , Kin Long Kelvin Lee

The H\"uckel Hamiltonian is an incredibly simple tight-binding model famed for its ability to capture qualitative physics phenomena arising from electron interactions in molecules and materials. Part of its simplicity arises from using only…

A key to building functional devices on the basis of single molecule magnets in the framework of molecular electronics is the ability to deposit and study these molecules on a surface, because the structural, electronic and magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-01-26 Judith Donner , Jan-Philipp Broschinski , Bastian Feldscher , Anja Stammler , Hartmut Bögge , Thorsten Glaser , Daniel Wegner

The characterization of quantum correlations in many-body systems is instrumental to understanding the nature of emergent phenomena in quantum materials. The correlation entropy serves as a key metric for assessing the complexity of a…

Strongly Correlated Electrons · Physics 2025-11-10 Faluke Aikebaier , Teemu Ojanen , Jose L. Lado

Classifying skyrmionic textures and extracting magnetic Hamiltonian parameters are fundamental and demanding endeavors within the field of two-dimensional (2D) spintronics. By using micromagnetic simulation and machine learning (ML)…

Mesoscale and Nanoscale Physics · Physics 2023-09-28 Dushuo Feng , Zhihao Guan , Xiaoping Wu , Yan Wu , Changsheng Song

Scanning tunneling microscopy (STM) is a powerful technique for imaging atomic structure and inferring information on local elemental composition, chemical bonding, and electronic excitations. However, traditional methods of visual…

Superconductivity · Physics 2023-02-21 Qiang Zou , Basu Dev Oli , Huimin Zhang , Joseph Benigno , Xin Li , Lian Li