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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

We propose a scheme to simulate one-dimensional XXZ-type Heisenberg spin models with competing interactions between nearest-neighbors (NNs) and next-NNs in photon-coupled micro-cavities. Our scheme, for the first time, exploits the rich…

Quantum Physics · Physics 2015-06-12 Zhi-Xin Chen , Zheng-Wei Zhou , Xingxiang Zhou , Xiang-Fa Zhou , Guang-Can Guo

We show that atoms trapped in micro-cavities that interact via exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 chain in an external magnetic field. All parameters of the effective Hamiltonian can individually be…

Quantum Physics · Physics 2009-11-13 Michael J. Hartmann , Fernando G. S. L. Brandao , Martin B. Plenio

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…

Quantum simulation using synthetic quantum systems offers unique opportunities to explore open questions in many-body physics and a path for the generation of useful entangled states. Nevertheless, so far many quantum simulators have been…

Quantum Physics · Physics 2024-07-04 Chengyi Luo , Haoqing Zhang , Anjun Chu , Chitose Maruko , Ana Maria Rey , James K. Thompson

A coupled array of $N$ identical cavities, each of which contains a five-level atom is investigated. The results show that the atoms via the exchange of virtual photons can be effectively equal to spin 1 Heisenberg model under certain…

Quantum Physics · Physics 2015-05-13 Ling Zhou , Wei Bin Yan , Xin Yu Zhao

We derive an effective ring model in momentum space for trapped bosons with synthetic spin-orbit coupling. This effective model is characterized by a peculiar form of the inter particle interactions, which is crucially modified by the…

Quantum Gases · Physics 2014-12-31 Xing Chen , Michael Rabinovic , Brandon M. Anderson , Luis Santos

These lecture notes discuss applications of atom-light interactions in cavities to quantum metrology, simulation, and computation. A focus is on nonlocally interacting spin systems realized by coupling many atoms to a delocalized mode of…

Quantum Physics · Physics 2026-01-01 Monika Schleier-Smith

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…

There is growing interest to investigate states of matter with topological order, which support excitations in the form of anyons, and which underly topological quantum computing. Examples of such systems include lattice spin models in two…

Quantum Physics · Physics 2007-05-23 A. Micheli , G. K. Brennen , P. Zoller

Simulating cavity quantum electrodynamics in synthetic platforms offers a promising route to exploring light-matter interactions without real photons, while enabling the transfer of cavity-based techniques to other systems. Among such…

Quantum Gases · Physics 2026-03-31 Muhammad S. Hasan , Karol Gietka

A collection of trapped atomic ions represents one of the most attractive platforms for the quantum simulation of interacting spin networks and quantum magnetism. Spin-dependent optical dipole forces applied to an ion crystal create…

In computational chemistry of molecular materials, strong static correlation effects appear when electronic states, often involving the ground state, become quasi-degenerate, as occurs, for example, in bond-breaking processes. Such…

Chemical Physics · Physics 2026-03-20 Braden M. Weight , Zheng Pei , Sergei Tretiak

It has been shown elsewhere that two spatially separated atoms can jointly absorb one photon, whose frequency is equal to the sum of the transition frequencies of the two atoms. We describe this process in the presence of an ensemble of…

Quantum Physics · Physics 2020-05-13 Vincenzo Macrí , Franco Nori , Salvatore Savasta , David Zueco

The many-body physics of higher-spin systems is expected to host qualitatively new matter phases, but realizing them requires the controllable multispin interactions that can be tuned independently for each spin component. Here we propose a…

Quantum Gases · Physics 2025-08-21 Zhen Zheng , Shi-Liang Zhu , Z. D. Wang

The essential role of synthetic spin-orbit coupling in discovering new topological matter phases with cold atoms is widely acknowledged. However, the engineering of spin-orbit coupling remains unclear for arbitrary-spin models due to the…

Quantum Gases · Physics 2024-09-25 Zhen Zheng , Yan-Qing Zhu , Shanchao Zhang , Shi-Liang Zhu , Z. D. Wang

We study the dynamical behaviour of ultracold fermionic atoms loaded into an optical lattice under the presence of an effective magnetic flux, induced by spin-orbit coupled laser driving. At half filling, the resulting system can emulate a…

Quantum Gases · Physics 2021-04-06 Mikhail Mamaev , Itamar Kimchi , Rahul M. Nandkishore , Ana Maria Rey

A system of trapped ions under the action of off--resonant standing--waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be observed in the simplest realization of…

Quantum Physics · Physics 2009-11-11 X. -L. Deng , D. Porras , J. I. Cirac

The interaction between a photon and a qubit in the Janeys-Cummings (JC) model generates a kind of quasiparticle called polariton. While they are widely used in quantum optics, difficulties in engineering controllable coupling of them…

Quantum Physics · Physics 2019-05-10 Feng-Lei Gu , Jia Liu , Feng Mei , Suotang Jia , Dan-Wei Zhang , Zheng-Yuan Xue

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting quantum spin models. Effective spins are represented by appropriate internal energy levels within each ion, and the spins can be measured with…

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