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Recently, an {\it algebraic-dynamical theory} (ADT) for strongly interacting many-body quantum Hamiltonians in W. Ding, arXiv: 2202.12082 (2022). By introducing the complete operator basis set, ADT proposes a generic framework for…

强关联电子 · 物理学 2022-08-09 Wenxin Ding , Chuanru Dai , Zhengfei Hu

We propose an easy to use model to solve for interacting atoms in an optical lattice. This model allows for the whole range of weakly to strongly interacting atoms, and it includes the coupling between relative and center-of-mass motion via…

其他凝聚态物理 · 物理学 2008-07-01 Johan Mentink , Servaas Kokkelmans

Using quantum systems to efficiently solve quantum chemistry problems is one of the long-sought applications of near-future quantum technologies. In a recent work, ultra-cold fermionic atoms have been proposed for these purposes by showing…

量子物理 · 物理学 2021-04-16 Javier Argüello-Luengo , Tao Shi , Alejandro González-Tudela

We describe new techniques in the construction of optical lattices to realize a coherent atom-based microscope, comprised of two atomic species used as target and probe atoms, each in an independently controlled optical lattice. Precise and…

Quantum annealing aims at solving optimization problems efficiently by preparing the ground state of an Ising spin-Hamiltonian quantum mechanically. A prerequisite of building a quantum annealer is the implementation of programmable…

量子气体 · 物理学 2020-11-10 Xingze Qiu , Peter Zoller , Xiaopeng Li

We construct an effective Hamiltonian of interacting bosons, based on scattered radiation off vibrational modes of designed molecular architectures. Making use of the infinite yet countable set of spatial modes representing the scattering…

量子物理 · 物理学 2019-12-30 Shahaf Asban , Shaul Mukamel

We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the…

量子物理 · 物理学 2007-05-23 P. Štelmachovič , V. Bužek

The lattice compact Abelian Higgs model is a non-perturbative regularized formulation of low-energy scalar quantum electrodynamics. In 1+1 dimensions, this model can be quantum simulated using a ladder-shaped optical lattice with…

量子物理 · 物理学 2021-12-01 Yannick Meurice

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

量子气体 · 物理学 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das

We explore the potential application of quantum computers to the examination of lattice holography, which extends to the strongly-coupled bulk theory regime. With adiabatic evolution, we compute the ground state of a spin system on a…

高能物理 - 格点 · 物理学 2023-12-19 Ying-Ying Li , Muhammad Omer Sajid , Judah Unmuth-Yockey

We review novel methods to investigate, control and manipulate neutral atoms in optical lattices. These setups allow unprecedented quantum control over large numbers of atoms and thus are very promising for applications in quantum…

量子物理 · 物理学 2009-11-10 D. Jaksch

The Hubbard model is a paradigmatic model of strongly correlated quantum matter, thus making it desirable to investigate with quantum simulators such as ultracold atomic gases. Here, we consider the problem of two atoms interacting in a…

量子气体 · 物理学 2025-12-03 Haydn S. Adlong , Jesper Levinsen , Meera M. Parish

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

Multi-orbital optical lattices have been attracting rapidly growing research interests in the last several years, providing fascinating opportunities for orbital-based quantum simulations. Here, we consider bosonic atoms loaded in the…

量子气体 · 物理学 2022-12-06 Rui Cao , Jinsen Han , Jianmin Yuan , Xiaopeng Li , Yongqiang Li

This article reviews recent research towards a universal light-matter interface. Such an interface is an important prerequisite for long distance quantum communication, entanglement assisted sensing and measurement, as well as for scalable…

量子物理 · 物理学 2011-11-04 Christine A. Muschik , Hanna Krauter , Klemens Hammerer , Eugene S. Polzik

Quantum harmonic oscillators model a wide variety of phenomena ranging from electromagnetic fields to vibrations of atoms in molecules. Their excitations can be represented by bosons such as photons, single particles of light, or phonons,…

We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the…

量子物理 · 物理学 2021-10-20 E. R. Castro , Jorge Chavez-Carlos , I. Roditi , Lea F. Santos , Jorge G. Hirsch

Interacting spins in quantum magnet can cooperate and exhibit exotic states like the quantum spin liquid. To explore the materialization of such intriguing states, the determination of effective spin Hamiltonian of the quantum magnet is…

强关联电子 · 物理学 2021-09-01 Sizhuo Yu , Yuan Gao , Bin-Bin Chen , Wei Li

Hamiltonian tridiagonal matrices characterized by multi-fractal spectral measures in the family of Iterated Function Systems can be constructed by a recursive technique here described. We prove that these Hamiltonians are almost-periodic.…

介观与纳米尺度物理 · 物理学 2016-08-31 Giorgio Mantica

Based on the correspondence between circuit Laplacian and Schrodinger equation, recent investigations have shown that classical electric circuits can be used to simulate various topological physics and the Schrodinger's equation.…

介观与纳米尺度物理 · 物理学 2025-02-12 Tian Chen , Weixuan Zhang , Deyuan Zou , Yifan Sun , Xiangdong Zhang