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In this paper we theoretically show that interior-point methods based on self-concordant barriers possess favorable global complexity beyond their standard application area of convex optimization. To do that we propose first- and…

Optimization and Control · Mathematics 2024-04-30 Pavel Dvurechensky , Mathias Staudigl

Self-organizations of ordered patterns in far-from-equilibrium many-body systems host fundamental importance in many disciplines. Meanwhile, complex systems often feature hierarchical structures with distinct scales for different layers,…

We propose to observe Anderson localization of ultracold atoms in the presence of a random potential made of atoms of another species and trapped at the nodes of an optical lattice, with a filling factor less than unity. Such systems enable…

Other Condensed Matter · Physics 2009-11-10 U. Gavish , Y. Castin

We report on three-dimensional optical trapping of single ions in an optical lattice formed by two counter-propagating laser beams. We characterize the trapping parameters of the standing wave using the ion as a sensor stored in a hybrid…

Atomic Physics · Physics 2015-06-11 Martin Enderlein , Thomas Huber , Christian Schneider , Tobias Schaetz

We investigate a control of the motion of localized structures of light by means of delay feedback in the transverse section of a broad area nonlinear optical system. The delayed feedback is found to induce a spontaneous motion of a…

Pattern Formation and Solitons · Physics 2015-06-22 A. G. Vladimirov , A. Pimenov , S. V. Gurevich , K. Panajotov , E. Averlant , M. Tlidi

We present detailed discussions of cooling and trapping mechanisms for an atom in an optical trap inside an optical cavity, as relevant to recent experiments. The interference pattern of cavity QED and trapping fields in space makes the…

Quantum Physics · Physics 2009-11-06 S. J. van Enk , J. McKeever , H. J. Kimble , J. Ye

We introduce a simple set--up corresponding to the matter-wave analogue of impurity atoms embedded in an infinite photonic crystal and interacting with the radiation field. Atoms in a given internal level are trapped in an optical lattice,…

Quantum Physics · Physics 2017-08-17 Ines de Vega , Diego Porras , J. Ignacio Cirac

We observe growth of shape-controlled potassium nanoparticles inside a random network of glass nanopores, exposed to low-power laser radiation. Visible laser light plays a dual role: it increases the desorption probability of potassium…

Atomic Physics · Physics 2014-07-01 L. Marmugi , E Mariotti , A. Burchianti , S. Veronesi , L. Moi , C. Marinelli

We consider simple examples of self-organized critical systems on one-dimensional superlattices without local particle conservation laws. The set of all recurrence states are also found in these examples using a method similar to the…

adap-org · Physics 2015-06-30 H. F. Chau

Crossed optical dipole traps (ODTs) provide three-dimensional confinement of cold atoms and other optically trappable particles. However, the need to maintain the intersection of the two trapping beams poses strict requirements on alignment…

The design of an experiment on the spontaneous crystallization of a laser-cooled, but thermal atomic cloud into a hexagonally structured phase is discussed. Atomic interaction is mediated by the dipole potential of an optical lattice formed…

In the present work we revisit the issue of the self-trapping dynamical transition at a nonlinear impurity embedded in an otherwise linear lattice. For our Schr\"odinger chain example, we present rigorous arguments that establish necessary…

Pattern Formation and Solitons · Physics 2015-06-15 Haitian Yue , Mario I. Molina , Panayotis G. Kevrekidis , Nikos I. Karachalios

Optical lattices can be loaded with atoms which can have strong interactions, such that the interaction of atoms at different lattice sites cannot be neglected. Moreover, the intersite interactions can be so strong that it can force the…

Quantum Gases · Physics 2020-08-04 V. I. Yukalov

We consider a hybrid atom-optomechanical system consisting of a mechanical membrane inside an optical cavity and an atomic Bose-Einstein condensate outside the cavity. The condensate is confined in an optical lattice potential formed by a…

Quantum Gases · Physics 2021-03-03 Jia-Ming Cheng , Zheng-Wei Zhou , Guang-Can Guo , Han Pu , Xiang-Fa Zhou

Optical potentials have been a versatile tool for the study of atomic motions and many-body interactions in cold atoms. Recently, optical subwavelength single barriers were proposed to enhance the atomic interaction energy scale, which is…

Quantum Physics · Physics 2020-02-12 Wenchao Ge , M. Suhail Zubairy

We propose two experimental setups for fermionic atoms in a high-finesse optical resonator in which either a superconducting state with s-wave symmetry of the pairs or a 4k F charge density wave can self-organize. In order to stabilize the…

Quantum Gases · Physics 2019-05-29 Ameneh Sheikhan , Corinna Kollath

Self-organization creates new order and shifts sub-boundaries while reorganizing energy and entropy within a control volume. This article examines pathway selection and tests whether maximizing the entropy generation rate can forecast…

Materials Science · Physics 2026-03-10 J. A. Sekhar

We investigate ultra-cold fermions placed into an optical cavity and subjected to optical lattices which confine the atoms to ladder structures. A transverse running-wave laser beam induces together with the dynamical cavity field a…

Quantum Gases · Physics 2016-04-13 Ameneh Sheikhan , Ferdinand Brennecke , Corinna Kollath

In this paper, we report the observation and exploitation of the capability of light to self-organize its state-of-polarization, upon propagation in optical fibers, by means of a device called Omnipolarizer. The principle of operation of…

We consider laser-pumped one-dimensional two-component bosons in a parabolic trap embedded in a high-finesse optical cavity. Above a threshold pump power, the photons that populate the cavity modify the effective atom trap and mediate a…