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The vibrations of a chain of trapped ions can be considered, under suitable experimental conditions, as an ensemble of interacting phonons, whose quantum dynamics is governed by a Bose--Hubbard Hamiltonian. In this work we study the quantum…

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

We show that the vibrations of a chain of trapped ions offer an interesting route to explore the physics of disordered quantum systems. By preparing the internal state of the ions in a quantum superposition, we show how the local…

Quantum Physics · Physics 2011-04-15 A. Bermudez , M. A. Martin-Delgado , D. Porras

As one of the most striking features of quantum mechanics, quantum correlations are at the heart of quantum information science. Detection of correlations usually requires access to all the correlated subsystems. However, in many realistic…

Quantum Physics · Physics 2014-08-12 M. Gessner , M. Ramm , T. Pruttivarasin , A. Buchleitner , H. -P. Breuer , H. Haeffner

The density of ions trapped in a harmonic potential in one dimension is not uniform. Consequently the eigenmodes are not phonons. We calculate the long wavelength modes in the continuum limit, and evaluate the density of states in the short…

Statistical Mechanics · Physics 2009-11-10 Giovanna Morigi , Shmuel Fishman

Controlled quantum mechanical motion of trapped atomic ions can be used to simulate and explore collective quantum phenomena and to process quantum information. Groups of cold atomic ions in an externally applied trapping potential…

We present a self-contained operator-based approach to derive the spectrum of trapped ions. This approach provides the complete normal form of the low energy quadratic Hamiltonian in terms of bosonic phonons, as well as an effective free…

Quantum Physics · Physics 2016-12-28 Ulf Bissbort , Walter Hofstetter , Dario Poletti

Self-assembled quantum dots are ideal structures in which to test theories of open quantum systems: Confined exciton states can be coherently manipulated and their decoherence properties are dominated by interactions with acoustic phonons.…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Ovidiu Cotlet , Brendon W. Lovett

Quantum many-body systems driven far from equilibrium can exhibit chaos, entanglement, and non-classical correlations, yet directly observing these phenomena in large, closed quantum systems remains challenging. Here we realize the Dicke…

The measurement of correlations between different degrees of freedom is an important, but in general extremely difficult task in many applications of quantum mechanics. Here, we report an all-optical experimental detection and…

We investigate quantum synchronization theoretically in a system consisting of two cold ions in microtraps. The ions' motion is damped by a standing-wave laser whilst also being driven by a blue-detuned laser which results in…

Quantum Physics · Physics 2015-06-10 Michael R. Hush , Weibin Li , Sam Genway , Igor Lesanovsky , Andrew D. Armour

A self-consistent quantum-kinetic model is developed for studying strong-field nonlinear electron transport interacting with force-driven phonons within a quantum-wire system. For this model, phonons can be dragged into motion through…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Xuejun Lu , Danhong Huang

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

Spatial correlation functions provide a glimpse into the quantum correlations within a quantum system. Ions in a linear trap collectively form a nonuniform, discretized background on which a scalar field of phonons propagates. Trapped ions…

Quantum Physics · Physics 2009-09-29 Nicolas C. Menicucci , G. J. Milburn

We propose a concrete experiment to probe the non-equilibrium local dynamics of the one-dimensional Bose-Hubbard model using a trapped ion system consisting of a linear chain of few Ba^+ ions prepared in a state of transverse motional mode…

Quantum Physics · Physics 2016-08-17 T. Dutta , M. Mukherjee , K. Sengupta

We develop a theory to address the non-equilibrium dynamics of phonons in a one-dimensional trapped ion system. We elaborate our earlier results obtained in Phys. Rev. Lett. {\bf 111}, 170406 (2013) to chart out the mechanism of…

Strongly Correlated Electrons · Physics 2016-04-04 T. Dutta , M. Mukherjee , K. Sengupta

How can we detect that our local, controllable quantum system is correlated with some other inaccessible environmental system? The local detection method developed in recent years allows to realize a dynamical witness for correlations…

Quantum Physics · Physics 2019-12-03 Manuel Gessner , Heinz-Peter Breuer

A chain of interacting particles subject also to a nonlinear on-site potential admits stable soliton-like configurations : static kinks. The linear normal-modes around such a kink contain a discrete set of localized, gap-separated modes.…

Quantum Physics · Physics 2010-02-02 H. Landa

We study the spectrum and entanglement of phonons produced by temporal changes in homogeneous one-dimensional atomic condensates. To characterize the experimentally accessible changes, we first consider the dynamics of the condensate when…

Quantum Gases · Physics 2017-07-03 Scott Robertson , Florent Michel , Renaud Parentani

The local phonon modes in a Coulomb crystal of trapped ions can represent a Hubbard system of coupled bosons. We selectively prepare single excitations at each site and observe free hopping of a boson between sites, mediated by the…

Quantum Physics · Physics 2018-02-21 S. Debnath , N. M. Linke , S. -T. Wang , C. Figgatt , K. A. Landsman , L. -M. Duan , C. Monroe

In many dynamical probes of a quantum system, quite often multiple eigenmodes are excited. Therefore, the experimental data can be quite messy due to the mixing of different modes, as well as the background noise, despite that each mode…

Quantum Physics · Physics 2019-04-11 Yadong Wu , Hui Zhai
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