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In this paper we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice $\mathbb{Z}^d$. We show that for most states and an arbitrary choice of the random…

Dynamical Systems · Mathematics 2023-03-03 Hongzi Cong , Yunfeng Shi , Zhihan Zhang

Cavity optomechanical system involving an optical parametric amplifier (OPA) can exhibit rich classical and quantum dynamical behaviors. By simply modulating the frequency of the laser pumping the OPA, we find two interesting parameter…

Quantum Physics · Physics 2019-10-23 Chang-Sheng Hu , Li-Tuo Shen , Zhen-Biao Yang , Huaizhi Wu , Yong Li , Shi-Biao Zheng

We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically…

Quantum Gases · Physics 2023-07-06 Chenyue Guo , Zi Cai

We propose an experiment utilizing an array of cooled micro-cantilevers coupled to a sample of ultra-cold atoms trapped near a micro-fabricated surface. The cantilevers allow individual lattice site addressing for atomic state control and…

Quantum Physics · Physics 2015-05-13 Andrew A. Geraci , John Kitching

We demonstrate the controlled coherent transport and splitting of atomic wave packets in spin-dependent optical lattice potentials. Such experiments open intriguing possibilities for quantum state engineering of many body states. After…

Soft Condensed Matter · Physics 2009-11-10 Olaf Mandel , Markus Greiner , Artur Widera , Tim Rom , Theodor W. Haensch , Immanuel Bloch

We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient…

Quantum Physics · Physics 2008-08-12 A. Klumpp , D. Witthaut , H. J. Korsch

In the present paper, we report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in oscillatory neural networks. Based on…

Neural and Evolutionary Computing · Computer Science 2020-01-08 Andrei Velichko , Maksim Belyaev , Vadim Putrolaynen , Alexander Pergament , Valentin Perminov

We study the dipole oscillations of strongly correlated 1D bosons, in the hard-core limit, on a lattice, by an exact numerical approach. We show that far from the regime where a Mott insulator appears in the system, damping is always…

Other Condensed Matter · Physics 2017-09-11 M. Rigol , V. Rousseau , R. T. Scalettar , R. R. P. Singh

We propose an innovative scheme to efficiently prepare strong mechanical squeezing through utilizing the synergistic mechanism of two-tone driving and parametric pumping in an optomechanical system. By reasonable choosing the system…

Quantum Physics · Physics 2024-09-23 Xiao-Jie Wu , Huan-Huan Cheng , Qiannan Wu , Cheng-Hua Bai , Shao-Xiong Wu

We study an optomechanical system in which the mechanical motion of a single trapped ion is coupled to a cavity field for the realization of a strongly quantum correlated two-mode system. We show that for large pump intensities the steady…

Quantum Physics · Physics 2016-04-20 Aranya B. Bhattacherjee

We study a particular form of interaction Hamiltonian between qubits and quantum harmonic oscillators, whose closed system dynamics results in qubit controlled displacement operations. We show how this interaction is realizable in many…

Quantum Physics · Physics 2012-09-18 Tommaso Tufarelli

We study the quantum dynamics of an optomechanical setup comprising two optical modes and one mechanical mode. We show that the same system can undergo a Dicke-Hepp-Lieb superradiant type phase transition. We found that the coupling between…

Quantum Physics · Physics 2015-06-12 Neha Aggarwal , Aranya B Bhattacherjee

We report the optical trapping of multiple ions localized at individual lattice sites of a one-dimensional optical lattice. We observe a fivefold increase in robustness against axial DC-electric fields and an increase of the axial…

Atomic Physics · Physics 2023-06-23 Daniel Hoenig , Fabian Thielemann , Leon Karpa , Thomas Walker , Amir Mohammadi , Tobias Schaetz

To date, the majority of positioning systems have been designed to operate within environments that have long-term stable macro-structure with potential small-scale dynamics. These assumptions allow the existing positioning systems to…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Savvas Papaioannou , Andrew Markham , Niki Trigoni

We show that atoms or molecules subject to fields that couple their internal and translational (momentum) states may undergo a crossover from randomization (diffusion) to strong localization (sharpening) of their momentum distribution. The…

Soft Condensed Matter · Physics 2013-05-29 Nir Bar-Gill , Gershon Kurizki

We demonstrate theoretically and experimentally the phenomenon of vibrational resonance in a periodic potential, using cold atoms in an optical lattice as a model system. A high-frequency (HF) drive, with frequency much larger than any…

Statistical Mechanics · Physics 2015-06-03 A. Wickenbrock , P. C. Holz , N. A. Abdul Wahab , P. Phoonthong , D. Cubero , F. Renzoni

We examine the dynamics of ultracold atoms held in optical lattice potentials. By controlling the switching of a periodic driving potential we show how a phase-induced renormalization of the intersite tunneling can be used to produce…

Quantum Gases · Physics 2011-08-29 C. E. Creffield , F. Sols

Time-dependent transport through two capacitively coupled quantum dots is studied in the framework of the generalized master equation. The Coulomb interaction is included within the exact diagonalization method. Each dot is connected to two…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

Following a recent demonstration of stable trapping of floating particles by stationary (monochromatic) structured water waves [Nature 638, 394 (2025)], we report dynamic water-wave tweezers that enable controllable transport of trapped…

We investigate quantum tunneling phenomena for an optical lattice subjected to a bichromatic ac force. We show that incommensurability of the frequencies leads to super Bloch oscillation. We propose directed super Bloch oscillation for the…

Quantum Gases · Physics 2015-02-24 C. Yuce
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