IFT Institute Fisica Teorica

Madrid, Spain

IFT Institute Fisica Teorica

Madrid, Spain
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Boada O.,Telecommunications Institute of Portugal | Celi A.,ICFO - Institute of Photonic Sciences | Rodriguez-Laguna J.,ICFO - Institute of Photonic Sciences | Rodriguez-Laguna J.,IFT Institute Fisica Teorica | And 2 more authors.
New Journal of Physics | Year: 2015

We propose several designs to simulate quantum many-body systems in manifolds with a non-trivial topology. The key idea is to create a synthetic lattice combining real-space and internal degrees of freedom via a suitable use of induced hoppings. The simplest example is the conversion of an open spin-ladder into a closed spin-chain with arbitrary boundary conditions. Further exploitation of the idea leads to the conversion of open chains with internal degrees of freedom into artificial tori and Mö bius strips of different kinds. We show that in synthetic lattices the Hubbard model on sharp and scalable manifolds with non-Euclidean topologies may be realized. We provide a few examples of the effect that a change of topology can have on quantum systems amenable to simulation, both at the single-particle and at the many-body level. © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.


Rodriguez-Laguna J.,ICFO - Institute of Photonic Sciences | Rodriguez-Laguna J.,Charles III University of Madrid | Migdal P.,ICFO - Institute of Photonic Sciences | Berganza M.I.,IFT Institute Fisica Teorica | And 3 more authors.
New Journal of Physics | Year: 2012

A visualization scheme for quantum many-body wavefunctions is described that we have termed qubism. Its main property is its recursivity: increasing the number of qubits results in an increase in the image resolution. Thus, the plots are typically fractal. As examples, we provide images for the ground states of commonly used Hamiltonians in condensed matter and cold atom physics, such as Heisenberg or ITF. Many features of the wavefunction, such as magnetization, correlations and criticality, can be visualized as properties of the images. In particular, factorizability can be easily spotted, and a way to estimate the entanglement entropy from the image is provided. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

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