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We demonstrate a spatial-imaging thermometry technique for ions in a one-dimensional Coulomb crystal by relating their imaged spatial extent along the linear radiofrequency ion trap axis to normal modes of vibration of coupled oscillators…

Atomic Physics · Physics 2016-02-11 V. Rajagopal , J. P. Marler , M. G. Kokish , B. C. Odom

The goal of this paper is to discuss the link between the quantum phenomenon of Anderson localization on the one hand, and the parametric instability of classical linear oscillators with stochastic frequency on the other. We show that these…

Classical Physics · Physics 2016-09-08 F. M. Izrailev , V. Dossetti-Romero , A. A. Krokhin , L. Tessieri

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between…

Quantum Gases · Physics 2013-04-17 Krzysztof Jachymski , Zbigniew Idziaszek , Tommaso Calarco

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

We present a simple one-dimensional trapping model prompted by the problem of ion current across biological membranes. The trap is modeled mimicking the ionic channel membrane behaviour. Such voltage-sensitive channels are open or closed…

Statistical Mechanics · Physics 2009-10-31 Alejandro D. Sanchez , Jorge A. Revelli , Horacio S. Wio

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as…

Optics · Physics 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

We study the macroscopic quantum tunneling, self-trapping phenomena in two weakly coupled Bose-Einstein condensates with periodically time-varying atomic scattering length. The resonances in the oscillations of the atomic populations are…

Soft Condensed Matter · Physics 2009-10-31 F. Kh. Abdullaev , R. A. Kraenkel

We discuss stochastic resonance-like effects in the context of coupled quantum spin systems. We focus here on an information-theoretic approach and analyze the steady state quantum correlations (entanglement) as well as the global…

Quantum Physics · Physics 2009-05-14 Ángel Rivas , Neil P. Oxtoby , Susana F. Huelga

The diatomic linear chain of masses coupled by harmonic springs is a textboook model for vibrational normal modes (phonons) in crystals. In addition to propagating acoustic and optic branches, this model is known to support a ``gap mode''…

Condensed Matter · Physics 2009-10-31 Philip B. Allen , Seth Aubin , R. B. Doak

Anderson localization of light is a fundamental emergent phenomenon in disordered systems. In arrays of coupled waveguides, it suppresses transport and causes photons to remain localized near the excitation site as coupling disorder…

We study the properties of the normal modes of a chain of Josephson junctions in the simultaneous presence of disorder and absorption. We consider the superconducting regime of small phase fluctuations and focus on the case where the…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 D. M. Basko , F. W. J. Hekking

The center of mass of a bright soliton in a Bose-Einstein condensate may reveal Anderson localization in the presence of a weak disorder potential. We analyze the effects of interactions between two bright solitons on the Anderson…

Quantum Gases · Physics 2012-09-19 Marcin Płodzień , Krzysztof Sacha

Towers of quantum many-body scars are sets of highly-excited eigenstates of nonintegrable Hamiltonians whose dynamics shows athermal behavior and persistent oscillations in time. The preparation of such states is, however, challenging due…

Statistical Mechanics · Physics 2026-03-16 Lorenzo Gotta , Manas Kulkarni , Gabriele Perfetto

We investigate transient nonlinear localization, namely the self-excitation of energy bursts in an atomic lattice at finite temperature. As a basic model we consider the diatomic Lennard-Jones chain. Numerical simulations suggest that the…

Pattern Formation and Solitons · Physics 2021-06-15 Stefano Lepri , Francesco Piazza

Based on the statistical dynamical mean field theory, we investigate, in a generic model for a strongly coupled disordered electron-phonon system, the competition between polaron formation and Anderson localization. The statistical…

Strongly Correlated Electrons · Physics 2007-05-23 Franz X. Bronold , Andreas Alvermann , Holger Fehske

In the context of an isolated three-dimensional noninteracting fermionic lattice system, we study the effects of a sudden quantum quench between a disorder-free situation and one in which disorder results in a mobility edge and associated…

Disordered Systems and Neural Networks · Physics 2018-06-26 Armin Rahmani , Smitha Vishveshwara

There is currently intensive research into creating a large-scale quantum computer with trapped ions. It is well known that for a linear ion crystal in a harmonic potential, the ions near the center are more closely spaced compared to the…

Quantum Physics · Physics 2017-01-13 S. R. Bastin , Tony E. Lee

We demonstrate the possibility of realizing a neural network in a chain of trapped ions with induced long range interactions. Such models permit to store information distributed over the whole system. The storage capacity of such network,…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. Pons , V. Ahufinger , C. Wunderlich , A. Sanpera , M. Lewenstein

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

We consider the propagation of light beams through disordered lattices of coupled waveguides searching for Anderson localization and investigating the evolution of nonclassical properties of injected quantum states. We assume that the beam…

Quantum Physics · Physics 2022-03-02 Thais L. Silva , Wesley B. Cardoso , Ardiley T. Avelar , Jorge M. C. Malbouisson
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