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The three- spin chain with Heisenberg XY- interaction is simulated in a three- qubit nuclear magnetic resonance (NMR) quantum computer. The evolution caused by the XY- interaction is decomposed into a series of single- spin rotations and…

量子物理 · 物理学 2009-11-11 Jingfu Zhang , Gui Lu Long , Wei Zhang , Zhiwei Deng , Wenzhang Liu , Zhiheng Lu

Simulation of quantum systems is notoriously challenging for classical computers, while quantum hardware is naturally well-suited for this task. However, the imperfections of contemporary quantum systems poses a considerable challenge in…

量子物理 · 物理学 2025-01-10 Yotam Shapira , Jovan Markov , Nitzan Akerman , Ady Stern , Roee Ozeri

In this paper a formalism for studying the dynamics of quantum systems coupled to classical spin environments is reviewed. The theory is based on generalized antisymmetric brackets and naturally predicts open-path off-diagonal geometric…

量子物理 · 物理学 2016-10-21 Alessandro Sergi

We provide an algorithm for evolving general spin-$s$ Gross-Pitaevskii / non-linear Schr\"odinger systems carrying a variety of interactions, where the $2s+1$ components of the `spinor' field represent the different spin-multiplicity…

量子气体 · 物理学 2024-03-22 Mudit Jain , Mustafa A. Amin , Han Pu

Transport of quantum information in linear spin chains has been the subject of much theoretical work. Experimental studies by nuclear spin systems in solid-state by NMR (a natural implementation of such models) is complicated since the…

量子物理 · 物理学 2009-11-13 Paola Cappellaro , Chandrasekhar Ramanathan , David G. Cory

Spin models are the prime example of simplified manybody Hamiltonians used to model complex, real-world strongly correlated materials. However, despite their simplified character, their dynamics often cannot be simulated exactly on…

Non-Hermitian quantum systems, governed by nonunitary evolution, offer powerful tools for manipulating quantum states through engineered loss. A prime example is coherent absorption, where quantum states undergo phase-dependent partial or…

We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple GPUs on the open science supercomputer TSUBAME 2.0. Simulating systems up to the linear…

统计力学 · 物理学 2012-10-24 Yukihiro Komura , Yutaka Okabe

We propose a self-consistent model which utilizes the polarization vector to theoretically describe the evolution of spin polarization of relativistic electrons in an intense electromagnetic field. The variation of radiative polarization…

等离子体物理 · 物理学 2021-07-02 Yuhui Tang , Zheng Gong , Jinqing Yu , Yinren Shou , Xueqing Yan

Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

强关联电子 · 物理学 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

The two- and three-dimensional classical Heisenberg spin XY (CHSXY) models, with the spherical coordinates of spins taken as dynamic variables, are numerically investigated. We allow the polar $\theta$ and azimuthal $\phi$ angles to have…

统计力学 · 物理学 2007-05-23 Beom Jun Kim , Petter Minnhagen , Suhk Kun Oh , Jean S. Chung

We suggest a numerical integration procedure for solving the equations of motion of certain classical spin systems which preserves the underlying symplectic structure of the phase space. Such symplectic integrators have been successfully…

统计力学 · 物理学 2007-05-23 Robin Steinigeweg , Heinz-Jürgen Schmidt

The exact results for thermodynamical properties of one-dimensional spin-1/2 isotropic XY model with Dzyaloshinskii-Moriya interaction in random lorentzian transverse field are obtained. This permits to discuss some approximate methods of…

统计力学 · 物理学 2008-02-03 O. V. Derzhko , T. M. Verkholyak

We propose two machine-learning methods based on neural networks, which we respectively call the phase-classification method and the temperature-identification method, for detecting different types of phase transitions in the XXZ models…

统计力学 · 物理学 2023-04-19 Yusuke Miyajima , Masahito Mochizuki

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…

We develop a field theoretical approach to the classical two-dimensional models, particularly to 2D Ising model (2DIM) and $XYZ$ model, which is simple to apply for calculation of various correlation functions. We calculate the partition…

强关联电子 · 物理学 2013-07-22 Sh. A. Khachatryan , A. G. Sedrakyan

The two-dimensional $S=1/2$ XY model is investigated with an extensive quantum Monte Carlo simulation. The helicity modulus is precisely estimated through a continuous-time loop algorithm for systems up to $128 \times 128$ near and below…

统计力学 · 物理学 2009-10-31 Kenji Harada , Naoki Kawashima

Quantum simulation of interacting many-body spin systems is routinely performed with cold trapped ions, and systems with hundreds of spins have been studied in one and two dimensions. In the most common realizations of these platforms, spin…

量子物理 · 物理学 2026-01-06 Wilson S. Martins , Markus Hennrich , Ferdinand Schmidt-Kaler , Igor Lesanovsky

We present a hybrid quantum-classical algorithm to simulate thermal states of a classical Hamiltonians on a quantum computer. Our scheme employs a sequence of locally controlled rotations, building up the desired state by adding qubits one…

量子物理 · 物理学 2015-03-17 Man-Hong Yung , Daniel Nagaj , James D. Whitfield , Alán Aspuru-Guzik

We present a combined theory-experiment study to quantify spin diffusion in the square lattice quantum spin-1/2 XY model at finite temperature. On the theory side, we leverage a recently developed dynamical high-temperature expansion method…