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The control of internal and motional quantum degrees of freedom of laser cooled trapped ions has been subject to intense theoretical and experimental research for about three decades. In the realm of quantum information science the ability…

Quantum Physics · Physics 2015-05-13 Michael Johanning , Andres Varon , Christof Wunderlich

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

We demonstrate that in a triangular configuration of an optical lattice of two atomic species a variety of novel spin-1/2 Hamiltonians can be generated. They include effective three-spin interactions resulting from the possibility of atoms…

Quantum Physics · Physics 2009-11-10 Jiannis K. Pachos , Martin B. Plenio

Trapped atomic ions are among the most advanced platforms for quantum simulation, computation, and metrology, offering long coherence times and precise, individual control over both internal and motional degrees of freedom. In this review,…

Quantum Physics · Physics 2026-02-18 Guido Pagano , Wojciech Adamczyk , Visal So

We theoretically investigate trapped ions interacting with atoms that are coupled to Rydberg states. The strong polarizabilities of the Rydberg levels increases the interaction strength between atoms and ions by many orders of magnitude, as…

Quantum Physics · Physics 2016-07-27 Thomas Secker , Rene Gerritsma , Alexander W. Glaetzle , Antonio Negretti

Direct experimental access to some of the most intriguing quantum phenomena is not granted due to the lack of precise control of the relevant parameters in their naturally intricate environment. Their simulation on conventional computers is…

Quantum Physics · Physics 2011-06-15 Christian Schneider , Diego Porras , Tobias Schaetz

The entanglement properties of some novel quantum systems are studied that are inspired by recent developments in cold-atom technology. A triangular optical lattice of two atomic species can be employed to generate a variety of spin-1/2…

Quantum Physics · Physics 2007-05-23 Jiannis K. Pachos

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

We present a system for the simulation of Heisenberg models with spins $s=\frac{1}{2}$ and $s=1$ with a linear crystal of trapped ions. We show that the laser-ion interaction induces a Jaynes-Cummings-Hubbard interaction between the atomic…

Quantum Physics · Physics 2015-02-11 Peter A. Ivanov , Naoum I. Karchev , Nikolay V. Vitanov , Dimitris G. Angelakis

We derive an effective Hamiltonian that describes a cross-Kerr type interaction in a system involving a two-level trapped ion coupled to the quantized field inside a cavity. We assume a large detuning between the ion and field (dispersive…

Quantum Physics · Physics 2009-11-11 F. L. Semiao , A. Vidiella-Barranco

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…

We consider strongly interacting systems of effective spins, subject to dissipative spin-flip processes associated with optical pumping. We predict the existence of novel magnetic phases in the steady-state of this system, which emerge due…

Quantum Gases · Physics 2013-06-21 Tony E. Lee , Sarang Gopalakrishnan , Mikhail D. Lukin

Trapped ions are among the leading candidates for quantum computing technologies. Interfacing ion qubits in separate traps and interfacing ion qubits with superconducting qubits are two of the many challenges to scale up quantum computers.…

Quantum Physics · Physics 2021-06-01 Noah Van Horne , Manas Mukherjee

The Hamiltonian describing a single ion placed in a potential trap in interaction with a laser beam is studied by means of a suitable perturbative approach. It is shown, in particular, that the rotating wave approximation does not provide…

Quantum Physics · Physics 2007-05-23 P. Aniello , V. Man'ko , G. Marmo , A. Porzio , S. Solimeno , F. Zaccaria

Trapped-ion quantum simulators have demonstrated a long history of studying the physics of interacting spin-lattice systems using globally addressed entangling operations. Here, we seek to broaden and delimit the classes of effective…

Quantum Physics · Physics 2024-04-16 Antonis Kyprianidis , A. J. Rasmusson , Philip Richerme

Paradigmatic spin Hamiltonians in condensed matter and quantum sensing typically utilize pair-wise or 2-body interactions between constituents in the material or ensemble. However, there is growing interest in exploring more general…

A quantum simulator is a well controlled quantum system that can simulate the behavior of another quantum system which may require exponentially large classical computing resources to understand otherwise. In the 1980s, Feynman proposed the…

We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range…

Strongly Correlated Electrons · Physics 2008-06-01 Roman Schmied , Tommaso Roscilde , Valentin Murg , Diego Porras , J. Ignacio Cirac

We present a simple, experimentally realizable method to make coherent three-body interactions dominate the physics of an ultracold lattice gas. Our scheme employs either lattice modulation or laser-induced tunneling to reduce or turn off…

Quantum Gases · Physics 2014-05-30 Andrew J. Daley , Jonathan Simon

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