12.30.+u Universal quantum simulators with specific systems (e.g. trapped ions, optical lattices, etc.)

Observation of Quantized Conductance in Neutral Matter

Date: 
2015-01-08
Author(s): 

Sebastian Krinner, David Stadler, Dominik Husmann, Jean-Philippe Brantut, Tilman Esslinger

Reference: 

Nature 517, 64-67 (2015)

In transport experiments the quantum nature of matter becomes directly evident when changes in conductance occur only in discrete steps, with a size determined solely by Planck's constant h. The observations of quantized steps in the electric conductance have provided important insights into the physics of mesoscopic systems and allowed for the development of quantum electronic devices. Even though quantized conductance should not rely on the presence of electric charges, it has never been observed for neutral, massive particles.

Quantum simulation of a lattice Schwinger model in a chain of trapped

Date: 
2013-11-22 - 2014-01-22
Author(s): 

Philipp Hauke, David Marcos, Marcello Dalmonte, Peter Zoller

Reference: 

Phys. Rev. X 3, 041018 (2013)

We discuss how a lattice Schwinger model can be realized in a linear ion trap, allowing a detailed study of the physics of Abelian lattice gauge theories related to one-dimensional quantum electrodynamics. Relying on the rich quantum-simulation toolbox available in state-of-the-art trapped-ion experiments, we show how one can engineer an effectively gauge-invariant dynamics by imposing energetic constraints, provided by strong Ising-like interactions.

Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms

Date: 
2013-08-20
Author(s): 

U. Bissbort, D. Cocks, A. Negretti, Z. Idziaszek, T. Calarco, F. Schmidt-Kaler; W. Hoffstetter, R. Gerritsma

Reference: 

URL: http://link.aps.org/doi/10.1103/PhysRevLett.111.080501
DOI: 10.1103/PhysRevLett.111.080501
PACS: 03.67.Ac, 37.10.Ty, 71.10.Fd

We propose and theoretically investigate a hybrid system composed of a crystal of trapped ions coupled to a cloud of ultracold fermions. The ions form a periodic lattice and induce a band structure in the atoms. This system combines the advantages of high fidelity operations and detection offered by trapped ion systems with ultracold atomic systems.

Goals and opportunities in quantum simulation

Date: 
2012-04-02
Author(s): 

J. Ignacio Cirac & Peter Zoller

Reference: 

Nature Physics 8, 264–266 (2012) doi:10.1038/nphys2275

The long-term promises of quantum simulators are far-reaching. The field, however, also needs clearly defined short-term goals.

Universal quantum computation with ordered spin-chain networks

Date: 
2011-09-21
Author(s): 

Y. Tserkovnyak and D. Loss

Reference: 

Phys. Rev. A 84, 032333

It is shown that anisotropic spin chains with gapped bulk excitations and magnetically ordered ground states offer a promising platform for quantum computation, which bridges the conventional single-spin-based qubit concept with recently developed topological Majorana-based proposals. We show how to realize the single-qubit Hadamard, phase, and π/8 gates as well as the two-qubit controlled-not (cnot) gate, which together form a fault-tolerant universal set of quantum gates.

Quantum Simulation of the Majorana Equation and Unphysical Operations

Date: 
2011-12-09
Author(s): 

J. Casanova, C. Sabín, J. León, I. L. Egusquiza, R. Gerritsma, C. Roos, J. J. García-Ripoll, and E. Solano

Reference: 

Phys. Rev. X 1, 021018 (2011)

We design a quantum simulator for the Majorana equation, a non-Hamiltonian relativistic wave equation that might describe neutrinos and other exotic particles beyond the standard model. Driven by the need of the simulation, we devise a general method for implementing a number of mathematical operations that are unphysical, including charge conjugation, complex conjugation, and time reversal. Furthermore, we describe how to realize the general method in a system of trapped ions. The work opens a new front in quantum simulations.

Quantum simulation of the Klein Paradox with Trapped Ions

Date: 
2011-02-11
Author(s): 

R. Gerritsma, B. Lanyon, G. Kirchmair, F. Zähringer, C. Hempel, J. Casanova, J. J. García-Ripoll, E. Solano, R. Blatt, and C. F. Roos

Reference: 

Phys. Rev. Lett. 106, 060503 (2011)

Relativistic quantum mechanics with trapped ions

Date: 
2011-09-06
Author(s): 

L. Lamata, J. Casanova, R. Gerritsma, C. F. Roos, J. J. García-Ripoll, and E. Solano

Reference: 

New J. Phys. 13, 095003 (2011)

Simulating open quantum systems: from many-body interactions to stabilizer pumping

Date: 
2011-08-09
Author(s): 

M. Müller, K. Hammerer, Y. Zhou, C. F. Roos, P. Zoller

Reference: 

New J. Physics. 13, 085007
doi:10.1088/1367-2630/13/8/085007

In a recent experiment, Barreiro et al (2011 Nature 470 486) demonstrated the fundamental building blocks of an open-system quantum simulator with trapped ions. Using up to five ions, dynamics were realized by sequences that combined single- and multi-qubit entangling gate operations with optical pumping. This enabled the implementation of both coherent many-body dynamics and dissipative processes by controlling the coupling of the system to an artificial, suitably tailored environment.

Universal digital quantum simulations with trapped ions

Date: 
2011-09-01
Author(s): 

B. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J.T. Barreiro, M. Rambach, G. Kirchmair, M. Hennrich, P. Zoller, R. Blatt

Reference: 

Science Express, September 1, 2011
doi: 10.1126/science.1208001

A digital quantum simulator is an envisioned quantum device that can be programmed to efficiently simulate any other local system. We demonstrate and investigate the digital approach to quantum simulation in a system of trapped ions. Using sequences of up to 100 gates and 6 qubits, the full-time dynamics of a range of spin systems are digitally simulated. Interactions beyond those naturally present in our simulator are accurately reproduced, and quantitative bounds are provided for the overall simulation quality.

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