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Determining quantum excited states is crucial across physics and chemistry but presents significant challenges for variational methods, primarily due to the need to enforce orthogonality to lower-energy states, often requiring…

Quantum Physics · Physics 2025-05-01 Shi-Xin Zhang , Lei Wang

A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of a Ising model defined on the same lattice suggests an approximate expression for the microcanonical…

Statistical Mechanics · Physics 2011-03-22 Lapo Casetti , Cesare Nardini , Rachele Nerattini

We show how one can obtain a lower bound for the electrical, spin or heat conductivity of correlated quantum systems described by Hamiltonians of the form H = H0 + g H1. Here H0 is an interacting Hamiltonian characterized by conservation…

Strongly Correlated Electrons · Physics 2007-06-20 Peter Jung , Achim Rosch

We demonstrate that a recently introduced heuristic optimization algorithm [Phys. Rev. E 83, 046709 (2011)] that combines a local search with triadic crossover genetic updates is capable of sampling nearly uniformly among ground-state…

Disordered Systems and Neural Networks · Physics 2011-11-08 Creighton K. Thomas , Helmut G. Katzgraber

We show that the operators and the quadrupole and Zeeman Hamiltonians for a spin (3/2) can be represented in terms for a system of two coupling fictitious spins (1/2) using the Kronecker product of Pauli matrices. Particularly, the…

Quantum Physics · Physics 2017-07-11 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

We present a feasibility study with several magnetic field configurations for creating spin-dependent forces that can split a low-energy ion beam by the Stern-Gerlach effect. To the best of our knowledge, coherent spin-splittings of charged…

We propose an experimental scheme to simulate the fractionalization of particle number by using a one-dimensional spin-orbit coupled ultracold fermionic gas. The wanted spin-orbit coupling, a kink-like potential, and a…

Quantum Gases · Physics 2012-12-19 Dan-Wei Zhang , L. -B. Shao , Zheng-Yuan Xue , Hui Yan , Z. D. Wang , Shi-Liang Zhu

We study the discrete-to-continuum limit of ferromagnetic spin systems when the lattice spacing tends to zero. We assume that the atoms are part of a (maybe) non-periodic lattice close to a flat set in a lower dimensional space, typically a…

Analysis of PDEs · Mathematics 2018-03-16 Andrea Braides , Marco Cicalese , Matthias Ruf

We study the geometric particle-in-cell methods for an electrostatic hybrid plasma model. In this model, ions are described by the fully kinetic equations, electron density is determined by the Boltzmann relation, and space-charge effects…

Numerical Analysis · Mathematics 2026-03-26 Yingzhe Li

We investigate the ground-state Riemannian metric and the cyclic quantum distance of an inhomogeneous quantum Ising spin-1/2 chain in a transverse field. This model can be diagonalized by using a general canonical transformation to the…

Strongly Correlated Electrons · Physics 2014-03-11 Yu-Quan Ma , Deng-Shan Wang , Ya-Jiang Hao , Xiang-Guo Yin , Wu-Ming Liu

We propose a data-driven technique to estimate the spin Hamiltonian, including uncertainty, from multiple physical quantities. Using our technique, an effective model of KCu$_4$P$_3$O$_{12}$ is determined from the experimentally observed…

Materials Science · Physics 2020-07-15 Ryo Tamura , Koji Hukushima , Akira Matsuo , Koichi Kindo , Masashi Hase

We present a computational method to determine the exchange constants in isotropic spin models. The method uses the Hamiltonian and overlap matrices computed from density functional schemes that are based on nonorthogonal basis sets. We…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 László Oroszlány , Jaime Ferrer , András Deák , László Udvardi , László Szunyogh

We investigate the ground and low energy states of a one dimensional non local free energy functional describing at a mean field level a spin system with both ferromagnetic and antiferromagnetic interactions. In particular, the…

Mathematical Physics · Physics 2016-02-15 Paolo Buttà , Raffaele Esposito , Alessandro Giuliani , Rossana Marra

We study the reduced dynamics of open quantum spin chains of arbitrary length $N$ with nearest neighbour $XX$ interactions, immersed within an external constant magnetic field along the $z$ direction, whose end spins are weakly coupled to…

Quantum Physics · Physics 2021-09-22 Fabio Benatti , Roberto Floreanini , Laleh Memarzadeh

By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Domenico Giuliano , Arturo Tagliacozzo

We propose a scheme for the determination of the coupling parameters in a chain of interacting spins. This requires only time-resolved measurements over a single particle, simple data post-processing and no state initialization or prior…

Quantum Physics · Physics 2009-05-12 C. Di Franco , M. Paternostro , M. S. Kim

We address quantum characterization of anisotropic spin chains in the presence of antisymmetric exchange, and investigate whether the Hamiltonian parameters of the chain may be estimated with precision approaching the ultimate limit imposed…

Quantum Physics · Physics 2025-02-18 Simone Cavazzoni , Marco Adani , Paolo Bordone , Matteo G. A. Paris

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

Strongly Correlated Electrons · Physics 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-uniform magnetic field. The initial Hamiltonian gradually…

Quantum Physics · Physics 2007-05-23 G. P. Berman , V. N. Gorshkov , V. I. Tsifrinovich

Using a field-theoretical representation of the Tanaka-Edwards integral we develop a method to systematically compute the number N_s of 1-spin-stable states (local energy minima) of a glassy Ising system with nearest-neighbor interactions…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Waclaw , Z. Burda