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We show that the motion of a cold trapped ion can be squeezed by modulating the intensity of a phase-stable optical lattice placed inside the trap. As this method is reversible and state selective it effectively implements a…

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

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

In this article we address the general approach for calculating dynamical dipole polarizabilities of small quantum systems, based on a sum-over-states formula involving in principle the entire energy spectrum of the system. We complement…

Quantum Physics · Physics 2017-07-10 R. Vexiau , D. Borsalino , M. Lepers , A. Orbán , M. Aymar , O. Dulieu , N. Bouloufa-Maafa

We propose a scheme to dynamically create a supersolid state in an optical lattice, using an attractive mixture of mass-imbalanced bosons. Starting from a "molecular" quantum crystal, supersolidity is induced dynamically as an…

Quantum Gases · Physics 2009-07-22 Tassilo Keilmann , J. Ignacio Cirac , Tommaso Roscilde

We treat control of several two-level atoms interacting with one mode of the electromagnetic field in a cavity. This provides a useful model to study pertinent aspects of quantum control in infinite dimensions via the emergence of…

Quantum Physics · Physics 2014-09-18 Michael Keyl , Robert Zeier , T. Schulte-Herbrueggen

Conventional approaches for controlling open quantum systems use coherent control which affects the system's evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of…

Quantum Physics · Physics 2009-05-04 Alexander Pechen , Herschel Rabitz

Ordered atomic arrays with subwavelength spacing have emerged as an efficient and versatile light-matter interface, where emitters respond collectively and form subradiant lattice modes with supressed decay rate. Here, we demonstrate that…

Quantum Physics · Physics 2022-02-18 Oriol Rubies-Bigorda , Valentin Walther , Taylor L. Patti , Susanne F. Yelin

We suggest a new method for quantum optical control with nanoscale resolution. Our method allows for coherent far-field manipulation of individual quantum systems with spatial selectivity that is not limited by the wavelength of radiation…

Quantum Physics · Physics 2008-03-10 Alexey V. Gorshkov , Liang Jiang , Markus Greiner , Peter Zoller , Mikhail D. Lukin

We examine the dynamics of a particle in a general rotating quadratic potential, not necessarily stable or isotropic, using a general complex mode formalism. The problem is equivalent to that of a charged particle in a quadratic potential…

Quantum Physics · Physics 2015-06-03 R. Rossignoli , A. M. Kowalski

The methods of mathematical control theory are widely used in the modern physics, but still they are less popular in quantum science. We will discuss the aspects of control theory, which are the most useful in applications to the real…

Optics · Physics 2008-02-22 Saifullah , Sergei Borisenok

The motion of two attractively interacting atoms in an optical lattice is investigated in the presence of a scattering potential. The initial wavefunction can be prepared by using tightly bound exact two-particle eigenfunction for vanishing…

Quantum Gases · Physics 2010-02-25 Christoph Weiss

We investigate the control resources needed to effect arbitrary quantum dynamics. We show that the ability to perform measurements on a quantum system, combined with the ability to feed back the measurement results via coherent control,…

Quantum Physics · Physics 2007-05-23 Seth Lloyd , Lorenza Viola

The control of quantum dynamics via specially tailored laser pulses is a long-standing goal in physics and chemistry. Partly, this dream has come true, as sophisticated pulse shaping experiments allow to coherently control product ratios of…

Quantum Physics · Physics 2007-07-16 J. Werschnik , E. K. U. Gross

We show that by coupling two hyperfine states of an atom in an optical lattice one can independently control two-, three-, and four-body on-site interactions in a non-perturbative manner. In particular, under typical conditions of current…

Quantum Gases · Physics 2014-08-13 D. S. Petrov

The ability to control and exploit quantum coherence and entanglement drives research across many fields ranging from ultra-cold quantum gases to spin systems in condensed matter. Transcending different physical systems, optical approaches…

Mesoscale and Nanoscale Physics · Physics 2014-08-26 K. Müller , T. Kaldewey , R. Ripszam , J. S. Wildmann , A. Bechtold , M. Bichler , G. Koblmüller , G. Abstreiter , J. J. Finley

Hexagonal optical lattices offer a tunable platform to study exotic orbital physics in solid state materials. Here, we present a versatile high-precision scheme to implement a hexagonal optical lattice potential, which is engineered by…

Quantum Gases · Physics 2022-12-07 Jin-Yu Liu , Guang-Quan Luo , Xiao-Qiong Wang , Andreas Hemmerich , Zhi-Fang Xu

We investigate a setup where a cloud of atoms is trapped in an optical lattice potential of a standing wave laser field which is created by retro-reflection on a micro-membrane. The membrane vibrations itself realize a quantum mechanical…

Quantum Physics · Physics 2010-08-31 K. Hammerer , K. Stannigel , C. Genes , P. Zoller , P. Treutlein , S. Camerer , D. Hunger , T. W. Haensch

Contraction properties of the Riccati operator are studied within the context of non-stationary linear-quadratic optimal control. A lifting approach is used to obtain a bound on the rate of strict contraction, with respect to the Riemannian…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Jintao Sun , Michael Cantoni

We exploit the variation of the atomic interaction in order to move ultra-cold atoms across an AC-driven periodic lattice. By breaking relevant symmetries, a gathering of atoms is achieved. Accurate control of the gathered atoms positions…

Pattern Formation and Solitons · Physics 2015-05-18 L. Morales-Molina , E. Arevalo
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