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The one-dimensional Ising model with its connections to several physical concepts plays a vital role in comprehension of several principles, phenomena and numerical methods. The Hamiltonian of a coupled one-dimensional dissipative spin…

Evidently, some relaxation dynamics, e.g. exponential decays, are much more common in nature than others. Recently there have been attempts to explain this observation on the basis of ``typicality of perturbations'' with respect to their…

Quantum Physics · Physics 2020-04-29 Robin Heveling , Lars Knipschild , Jochen Gemmer

Measuring the Hamiltonian of dipolar coupled spin systems is usually a difficult task due to the high complexity of their spectra. Currently, molecules with unknown geometrical structure and low symmetry are extremely tedious or impossible…

Quantum Physics · Physics 2013-12-10 Denis-Alexandre Trottier , Virginia Jauregui-Villanueva , Jingfu Zhang

The emergence of a collective behavior in a many-body system is responsible of the quantum criticality separating different phases of matter. Interacting spin systems in a magnetic field offer a tantalizing opportunity to test different…

Quantum Physics · Physics 2023-02-17 Michele Grossi , Oriel Kiss , Francesco De Luca , Carlo Zollo , Ian Gremese , Antonio Mandarino

We report a new type of spin-orbit coupling (SOC) called geometric SOC. Starting from the relativistic theory in curved space, we derive an effective nonrelativistic Hamiltonian in a generic curve embedded into flat three dimensions. The…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Atsuo Shitade , Emi Minamitani

We study effects of perturbation Hamiltonian to quantum spin systems which can include quenched disorder. Model-independent inequalities are derived, using an additional artificial disordered perturbation. These inequalities enable us to…

Mathematical Physics · Physics 2019-07-31 C. Itoi

We derive the interatomic spin-orbit interaction (SOI) from a helical atomic chain composed of $p$-orbitals with intra-atomic SOI, which exhibits a helical state--a potential origin of the chiral-induced spin selectivity (CISS) effect. In…

Mesoscale and Nanoscale Physics · Physics 2025-12-02 Takemitsu Kato , Yasuhiro Utsumi , Ora Entin-Wohlman , Amnon Aharony

A general time-dependent quantum system can be driven fast from its initial ground state to its final ground state without generating transitions by adding a steering term to the Hamiltonian. We show how this technique can be modified to…

Quantum Physics · Physics 2018-12-11 A. Barış Özgüler , Robert Joynt , Maxim G. Vavilov

Spin-dependent partial conductances are evaluated in a tight-binding description of electron transport in the presence of spin-orbit (SO) couplings, using transfer-matrix methods. As the magnitude of SO interactions increases, the…

Statistical Mechanics · Physics 2020-03-06 S. L. A. de Queiroz

Electrical generation and transduction of polarized electron spins in semiconductors are of central interest in spintronics and quantum information science. While spin generation in semiconductors has been frequently realized via electrical…

Anomalous Hall effect arising from non-trivial spin configuration (chirality) is studied based on the $s$-$d$ model. Considering a weak coupling case, the interaction is treated perturbatively. Scattering by normal impurities is included.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gen Tatara , Hikaru Kawamura

The connection between molecular vibrations and spin polarization in charge transport through molecular junctions is currently a topic of high interest, with important consequences for a variety of phenomena, such as chirality-induced spin…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Samuel L. Rudge , Christoph Kaspar , Rudolf Smorka , Riley J. Preston , Joseph Subotnik , Michael Thoss

We show that atoms trapped in micro-cavities that interact via exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 chain in an external magnetic field. All parameters of the effective Hamiltonian can individually be…

Quantum Physics · Physics 2009-11-13 Michael J. Hartmann , Fernando G. S. L. Brandao , Martin B. Plenio

Quantum dynamics simulations (QDSs) are one of the most highly anticipated applications of quantum computing. Quantum circuit depth for implementing Hamiltonian simulation algorithms is commonly time dependent so that long time dynamics…

Quantum Physics · Physics 2024-08-29 Linyun Wan , Jie Liu , Zhenyu Li , Jinlong Yang

In this paper, we investigate the effect of chiral-induced spin selectivity (CISS) on the radical pair model of avian magnetoreception. We examine the impact of spin selectivity on the avian compass sensitivity. In this analysis, we also…

Biological Physics · Physics 2023-05-23 Yash Tiwari , Vishvendra Singh Poonia

We propose an adiabatic-elimination formalism in the dispersive regime based on a transition-centric perturbation theory. The perturbative expansion is recast into a diagrammatic framework, while adiabatic elimination is implemented through…

Quantum Physics · Physics 2026-05-15 Mohamed Meguebel , Maxime Federico , Louis Garbe , Nadia Belabas , Nicolas Fabre

We propose a strategy for modeling the behavior of an adiabatic quantum computer described by an Ising Hamiltonian with $N$ sites and the coordination number $Z$. The method is based on the $1/Z$ expansion for the density matrix of the…

Quantum Physics · Physics 2018-04-10 Elnaz Darsheshdar , Seyed Mostafa Moniri , Patrick Navez , Alexandre Zagoskin

Motivated by the $\Omega$-spectrum proposal of unique gapped ground states by Kitaev, we study adiabatic cycles in gapped quantum spin systems from various perspectives. We give a few exactly solvable models in one and two spatial…

Strongly Correlated Electrons · Physics 2022-09-08 Ken Shiozaki

The discovery of the chiral induced spin selectivity effect has provided a novel tool to study how active physical and chemical mechanism may differ in chiral enantiomers, however, the origin of the effect itself is yet an open question. In…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 J. Fransson

We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sebastian Miles , A. Mert Bozkurt , Dániel Varjas , Michael Wimmer