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The accurate computational determination of chemical, materials, biological, and atmospheric properties has critical impact on a wide range of health and environmental problems, but is deeply limited by the computational scaling of…

化学物理 · 物理学 2021-06-09 Debadrita Saha , Srinivasan S. Iyengar , Philip Richerme , Jeremy M. Smith , Amr Sabry

We investigate a lattice version of the Yang-Lee model which is characterized by a non-Hermitian quantum spin chain Hamiltonian. We propose a new way to implement PT-symmetry on the lattice, which serves to guarantee the reality of the…

高能物理 - 理论 · 物理学 2009-11-05 Olalla A. Castro-Alvaredo , Andreas Fring

An experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed. Dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses. In this way, the effective…

量子物理 · 物理学 2007-05-23 Georgios Roumpos , Cyrus P. Master , Yoshihisa Yamamoto

We study Bosonic representation of spin Ising model with the application of simulating two level systems using continuous variable quantum processors. We decompose the time evolution of spin systems into a sequence of continuous variable…

量子物理 · 物理学 2020-09-29 Razieh Annabestani , Brajesh Gupt , Bhaskar Roy Bardhan

We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin…

量子物理 · 物理学 2015-03-19 H. Weimer , M. Müller , H. P. Büchler , I. Lesanovsky

We propose a quantum optical implementation of a class of dissipative spin systems, including the XXZ and Ising model, with ultra-cold atoms in optical lattices. Employing the motional degree of freedom of the atoms and detuned Raman…

量子物理 · 物理学 2013-02-18 Heike Schwager , J. Ignacio Cirac , Géza Giedke

Determining properties of ground states of spin Hamiltonians remains a topic of central relevance connecting disciplines of mathematical, theoretical and applied physics. In the last few decades, ground state properties of physical systems…

量子物理 · 物理学 2021-12-28 Jacob Biamonte

Quantum-disordered models provide a versatile platform to explore the emergence of quantum excitations in many-body systems. The engineering of spin models at the atomic scale with scanning tunneling microscopy and the local imaging of…

介观与纳米尺度物理 · 物理学 2023-08-23 Netta Karjalainen , Zina Lippo , Guangze Chen , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

Recently, spatial photonic Ising machines (SPIM) have been demonstrated to compute the minima of Hamiltonians for large-scale spin systems. Here we propose to implement an antiferromagnetic model through optoelectronic correlation computing…

新兴技术 · 计算机科学 2021-11-15 Junyi Huang , Yisheng Fang , Zhichao Ruan

The quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatial direction of the bonds. It has remarkable symmetry properties and the ground state shows…

量子气体 · 物理学 2017-01-19 Samuel Fernandez-Lorenzo , Juan Jose Garcia-Ripoll , Diego Porras

We propose a novel quantum technique to search for unmodeled anomalies in multidimensional binned collider data. We propose associating an Ising lattice spin site with each bin, with the Ising Hamiltonian suitably constructed from the…

高能物理 - 唯象学 · 物理学 2025-06-30 Konstantin T. Matchev , Prasanth Shyamsundar , Jordan Smolinsky

We present an exact simulation of a one-dimensional transverse Ising spin chain with a quantum computer. We construct an efficient quantum circuit that diagonalizes the Ising Hamiltonian and allows to obtain all eigenstates of the model by…

量子物理 · 物理学 2018-12-24 Alba Cervera-Lierta

Motivated by the decade-long debate over the issue of criticality supposedly observed in nuclear multifragmentation, we propose a dynamical lattice model to simulate the phenomenon. Its Ising Hamiltonian mimics a short range attractive…

统计力学 · 物理学 2015-06-25 J. S. Sa' Martins , P. M. C. de Oliveira

The regular structures obtained by optical lattice technology and their behaviour are analysed from the quantum information perspective. Initially, we demonstrate that a triangular optical lattice of two atomic species, bosonic or…

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Classical spin models with discrete or continuous degrees of freedom arise in many studies of complex physical systems. A wide class of hard real-life optimisation problems can be formulated as a minimisation of a spin Hamiltonian. Here we…

无序系统与神经网络 · 物理学 2018-12-12 Kirill P. Kalinin , Natalia G. Berloff

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to…

强关联电子 · 物理学 2007-05-23 M. E. Zhitomirsky

We have provided a concise introduction to the Ising model as one of the most important models in statistical mechanics and in studying the phenomenon of phase transition. The required theoretical background and derivation of the…

统计力学 · 物理学 2021-05-04 Ashkan Shekaari , Mahmoud Jafari

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

介观与纳米尺度物理 · 物理学 2020-01-29 Markus Hoffmann , Stefan Blügel

We introduce an intermediate quantum computing model built from translation-invariant Ising-interacting spins. Despite being non-universal, the model cannot be classically efficiently simulated unless the polynomial hierarchy collapses.…

量子物理 · 物理学 2017-02-01 Xun Gao , Sheng-Tao Wang , Lu-Ming Duan
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