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The common spin Hamiltonians such as the Ising, XY, or Heisenberg model do not have ground states that are the graph states needed in measurement-based quantum computation. Various highly-entangled many-body states have been suggested as a…

Strongly Correlated Electrons · Physics 2013-12-03 Tetsufumi Tanamoto , Daniel Becker , Vladimir M. Stojanović , Christoph Bruder

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

We propose a scheme to realize the Heisenberg model of any spin in an arbitrary array of coupled cavities. Our scheme is based on a fixed number of atoms confined in each cavity and collectively applied constant laser fields, and is in a…

Quantum Physics · Physics 2009-01-07 Jaeyoon Cho , Dimitris G. Angelakis , Sougato Bose

The main ideas and some of the most important results of the spherically symmetric self-consistent approach and a number of related theoretical algorithms are presented. These methods make it possible to study low-dimensional…

Strongly Correlated Electrons · Physics 2026-05-18 A. F. Barabanov , V. E. Valiulin , A. V. Mikheyenkov , P. S. Savchenkov

We present a scheme that transform 1 qubit to M identical copies with optimal fidedelity via free dynamical evolution of spin star networks. We show that the Heisenberg XXZ coupling can fulfill the challenge. The initial state of the…

Quantum Physics · Physics 2009-11-13 Zhang Jiang , Qing Chen , Shaolong Wan

We demonstrate that ultracold symmetric top molecules loaded into an optical lattice can realize highly tunable and unconventional models of quantum magnetism, such as an XYZ Heisenberg spin model. We show that anisotropic dipole-dipole…

Quantum Gases · Physics 2015-03-20 M. L. Wall , K. Maeda , L. D. Carr

Compact representations of fermionic Hamiltonians are necessary to perform calculations on quantum computers that lack error-correction. A fermionic system is typically defined within a subspace of fixed particle number and spin while…

Quantum Physics · Physics 2022-05-25 Diana Chamaki , Mekena Metcalf , Wibe A. de Jong

The global coupling of few-level quantum systems ("spins") to a discrete set of bosonic modes is a key ingredient for many applications in quantum science, including large-scale entanglement generation, quantum simulation of the dynamics of…

Quantum Gases · Physics 2016-12-07 Michael L. Wall , Arghavan Safavi-Naini , Ana Maria Rey

We propose a nonequilibrium Monte Carlo (MC) approach to explore nonequilibrium dynamical ferromagnetism of interacting single molecule magnets (SMMs). Both quantum spin tunneling and thermally activated spin reversal are successfully…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gui-Bin Liu , Bang-Gui Liu

We present a quantum electronic embedding method derived from the exact factorization approach to calculate static properties of a many-electron system. The method is exact in principle but the practical power lies in utilizing input from a…

Strongly Correlated Electrons · Physics 2020-05-27 Lionel Lacombe , Neepa T. Maitra

Quantum harmonic oscillators, or qumodes, provide a promising and versatile framework for quantum computing. Unlike qubits, which are limited to two discrete levels, qumodes have an infinite-dimensional Hilbert space, making them…

The widespread use of the noninteracting ground state as the initial state for the digital quantum simulation of the Fermi-Hubbard model is largely due to the scarcity of alternative easy-to-prepare approximations to the exact ground state…

Strongly Correlated Electrons · Physics 2024-01-17 Bruno Murta , Joaquín Fernández-Rossier

The coupled cluster method (CCM) is a powerful and widely applied technique of modern-day quantum many-body theory. It has been used with great success in order to understand the properties of quantum magnets at zero temperature. This is…

Strongly Correlated Electrons · Physics 2009-09-11 D. J. J. Farnell

A simple scheme is described for introducing the correct cusps at nuclei into orbitals obtained from Gaussian basis set electronic structure calculations. The scheme is tested with all-electron variational quantum Monte Carlo (VMC) and…

Computational Physics · Physics 2008-01-18 A. Ma , M. D. Towler , N. D. Drummond , R. J. Needs

Magnetic properties of two and three-dimensional clusters of quantum dots are studied with exact diagonalization of a generalized Hubbard model. We study the weak coupling limit, where the electrons interact only within a quantum dot and…

Strongly Correlated Electrons · Physics 2009-11-13 J. -P. Nikkarila , M. Koskinen , M. Manninen

Inspired by a continuously increasing interest in modeling and framing complex systems in a thermody- namic rationale, in this paper we continue our investigation in adapting well known techniques (originally stemmed in fields of physics…

Disordered Systems and Neural Networks · Physics 2015-06-17 Adriano Barra , Andrea Galluzzi , Francesco Guerra , Andrea Pizzoferrato , Daniele Tantari

We investigate the electronic structure of the helium atom in a magnetic field b etween B=0 and B=100a.u. The atom is treated as a nonrelativistic system with two interactin g electrons and a fixed nucleus. Scaling laws are provided…

Atomic Physics · Physics 2009-10-31 W. Becken , P. Schmelcher , F. K. Diakonos

We introduce the coherent state mapping ring-polymer molecular dynamics (CS-RPMD), a new method that accurately describes electronic non-adiabatic dynamics with explicit nuclear quantization. This new approach is derived by using coherent…

Chemical Physics · Physics 2018-01-17 Sutirtha Chowdhury , Pengfei Huo

We present a microscopic description of molecular magnets by the multi-orbital Hubbard model, which includes the correlated hopping term, i.e. the dependence of electron hopping amplitude between orbitals on the degree of their occupancy.…

Strongly Correlated Electrons · Physics 2021-08-18 Jacek Matysiak , Romuald Lemański

A widely used strategy to reduce the computational cost in quantum-chemical calculations is to partition the system into an active subsystem, which is the focus of the computational efforts and an environment that is treated at a lower…

Chemical Physics · Physics 2023-06-19 Elena Kolodzeiski , Christopher J. Stein
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