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Quantum mechanics dominates various effects in modern research from miniaturizing electronics, up to potentially ruling solid-state physics, quantum chemistry and biology. To study these effects experimental quantum systems may provide the…

Quantum Physics · Physics 2019-09-11 Frederick Hakelberg , Philip Kiefer , Matthias Wittemer , Ulrich Warring , Tobias Schaetz

Trapped ions offer long internal state (spin) coherence times and strong inter-particle interactions mediated by the Coulomb force. This makes them interesting candidates for quantum simulation of coupled lattices. To this end it is…

Quantum Physics · Physics 2009-06-10 Roman Schmied , Janus H. Wesenberg , Dietrich Leibfried

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of…

Quantum Physics · Physics 2015-05-30 J. Casanova , A. Mezzacapo , L. Lamata , E. Solano

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…

Laser cooled ions trapped in a linear Paul trap are long-standing ideal candidates for realizing quantum simulation, especially of many-body systems. The properties that contribute to this also provide the opportunity to demonstrate…

Quantum Physics · Physics 2022-03-04 Pradip Laha , Lukáš Slodička , Darren W. Moore , Radim Filip

Quantum simulation - the use of one quantum system to simulate a less controllable one - may provide an understanding of the many quantum systems which cannot be modeled using classical computers. Impressive progress on control and…

A practical experimental scheme for a quantum simulator of strongly correlated electrons is proposed. Our scheme employs electrons confined in a two dimensional electron gas in a GaAs/AlGaAs heterojunction. Two surface acoustic waves are…

Strongly Correlated Electrons · Physics 2009-11-11 Tim Byrnes , Patrik Recher , Na Young Kim , Shoko Utsunomiya , Yoshihisa Yamamoto

The quadrupole linear Paul trap is one of the key instruments in building highly stable atomic clocks. However, a frequency reference based on a single trapped ion is limited in stability due to the time needed for the interrogation cycle…

Instrumentation and Detectors · Physics 2021-12-07 Martin Oral , Lukáš Slodička , Ondřej Číp

By employing forces that depend on the internal electronic state (or spin) of an atomic ion, the Coulomb potential energy of a strongly coupled array of ions can be modified in a spin-dependent way to mimic effective quantum spin…

Quantum Physics · Physics 2015-06-15 John J. Bollinger , Joseph W. Britton , Brian C. Sawyer

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…

Quantum Physics · Physics 2026-01-06 Wilson S. Martins , Markus Hennrich , Ferdinand Schmidt-Kaler , Igor Lesanovsky

We present a novel platform for the bottom-up construction of itinerant many-body systems: ultracold atoms transferred from a Bose-Einstein condensate into freely configurable arrays of micro-lens generated focused-beam dipole traps. This…

Quantum Gases · Physics 2017-07-05 Martin Sturm , Malte Schlosser , Reinhold Walser , Gerhard Birkl

We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal…

Quantum Physics · Physics 2014-06-24 Bryce Yoshimura , Marybeth Stork , Danilo Dadic , W. C. Campbell , J. K. Freericks

Trapped ions excited to high-lying electronic states combine strongly coupled collective vibrational and electronic degrees of freedom with long-ranged interparticle interactions. These ingredients enable the quantum simulation of…

Atomic Physics · Physics 2026-05-27 Simon Euchner , Mathias B. M. Svendsen , Igor Lesanovsky

We describe a versatile toolbox for the quantum simulation of many-body lattice models, capable of exploring the combined effects of background Abelian and non-Abelian gauge fields, bond and site disorder, and strong on-site interactions.…

Quantum Physics · Physics 2012-10-10 Alejandro Bermudez , Tobias Schaetz , Diego Porras

A digital quantum simulator is an envisioned quantum device that can be pro- grammed to efficiently simulate any other local system. We demonstrate and investigate the digital approach to quantum simulation in a system of trapped ions.…

Trapped ions offer long coherence times and high fidelity, programmable quantum operations, making them a promising platform for quantum simulation of condensed matter systems, quantum dynamics, and problems related to high-energy physics.…

Quantum Physics · Physics 2024-09-09 Michael Foss-Feig , Guido Pagano , Andrew C. Potter , Norman Y. Yao

A custom-built and precisely controlled quantum system may offer access to a fundamental understanding of another, less accessible system of interest. A universal quantum computer is currently out of reach, but an analog quantum simulator…

We show that a large number of ions stored in a Penning trap, and forming a 2D Coulomb crystal, provides an almost ideal system for scalable quantum computation and quantum simulation. In particular, the coupling of the internal states to…

Quantum Physics · Physics 2009-11-13 D. Porras , J. I. Cirac

We propose a quantum algorithm in an embedding ion-trap quantum simulator for the efficient computation of N-qubit entanglement monotones without the necessity of full tomography. Moreover, we discuss possible realistic scenarios and study…

Quantum Physics · Physics 2014-07-22 J. S. Pedernales , R. Di Candia , P. Schindler , T. Monz , M. Hennrich , J. Casanova , E. Solano

We propose a method to simulate spin models in trapped ions using a digital-analog approach, consisting in a suitable gate decomposition in terms of analog blocks and digital steps. In this way, we show that the quantum dynamics of an…

Quantum Physics · Physics 2016-08-01 I. Arrazola , J. S. Pedernales , L. Lamata , E. Solano
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