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Localisation Of Bose Einstein Condensates In Optical Lattices
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Book Synopsis Localisation of Bose-Einstein Condensates in Optical Lattices by : Russell Campbell
Download or read book Localisation of Bose-Einstein Condensates in Optical Lattices written by Russell Campbell and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of Bose-Einstein condensates can be studied and controlled effectively when trapped in optical lattices formed by two counter-propagating laser beams. The dynamics of Bose-Einstein condensates in optical lattices are well-described by a continuous model using the Gross-Pitaevskii equation in a modulated potential or, in the case of deep potentials, a discrete model using the Discrete Nonlinear Schrodinger equation. Spatially localised modes, known as lattice solitons in the continuous model, or discrete breathers in the discrete model, can occur and are the focus of this thesis. Theoretical and computational studies of these localised modes are investigated in three different situations. Firstly, a model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented in the continuous model. The localised dissipation is shown to generate and stabilise both stationary and traveling lattice solitons. The solutions generated include spatially stationary quasiperiodic lattice solitons and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a dependence on the lattice depth. Then, collisions with a potential barrier of either travelling lattice solitons or travelling discrete breathers are investigated along with their dependence on the height of the barrier. Regions of complete reection or of partial reflection where the incoming soliton/breather is split in two, are observed and understood interms of the soliton properties. Partial trapping of the atoms in the barrier is observed for positive barrier heights due to the negative effective mass of the solitons/breathers. Finally, two coupled discrete nonlinear Schrodinger equations can describe the interaction and collisions of breathers in two-species Bose-Einstein condensates in deep optical lattices. This is done for two cases of experimental relevance: a mixture of two ytterbium isotopes and a mixture of Rubidium (87Rb) and Potassium(41K) atoms. Depending on their initial separation, interaction between stationary breathers of different species can lead to the formation of symbiotic localised structures or transform one of the breathers from a stationary one into a travelling one. Collisions between travelling and stationary discrete breathers composed of different species are separated in four distinct regimes ranging from totally elastic when the interspecies interaction is highly attractive to mutual destruction when the interaction is suffciently large and repulsive.
Book Synopsis Bose-Einstein Condensates in Optical Lattices by : Leonardo Fallani
Download or read book Bose-Einstein Condensates in Optical Lattices written by Leonardo Fallani and published by . This book was released on 2006 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamics of Bose-Einstein Condensates in Optical Lattices by : Sarah McKinney
Download or read book Dynamics of Bose-Einstein Condensates in Optical Lattices written by Sarah McKinney and published by . This book was released on 2004 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hikari Kōshichū No Bōsu-Ainshutain Gyōshukutai Ni Kansuru Rironteki Kenkyū by : Shunji Tsuchiya
Download or read book Hikari Kōshichū No Bōsu-Ainshutain Gyōshukutai Ni Kansuru Rironteki Kenkyū written by Shunji Tsuchiya and published by . This book was released on 2005 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bose-Einstein Condensates in Optical Lattices by : Henrik Kjær Andersen
Download or read book Bose-Einstein Condensates in Optical Lattices written by Henrik Kjær Andersen and published by . This book was released on 2008 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dipolar Bose-Einstein Condensates in Optical Lattices by : Kazimierz Łakomy
Download or read book Dipolar Bose-Einstein Condensates in Optical Lattices written by Kazimierz Łakomy and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bose-Einstein Condensation in Dilute Gases by : Christopher Pethick
Download or read book Bose-Einstein Condensation in Dilute Gases written by Christopher Pethick and published by . This book was released on 2014-05-14 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to ultracold atomic Bose and Fermi gases for advanced undergraduates, graduates, experimentalists and theorists.
Book Synopsis Bose-Einstein Condensates in Optical Lattices by : Jongchul Mun
Download or read book Bose-Einstein Condensates in Optical Lattices written by Jongchul Mun and published by . This book was released on 2008 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 87Rb Bose Einstein Condensate in 3D optical lattice was studied in the regime of weak interaction(the superfluid phase) and strong interaction(the Mott insulating phase). The stability of superfluid currents was studied using a moving optical lattice. The critical momentum for stable superfluid current varies from 0.5 recoil momentum (shallow lattice) to 0 (the Mott insulator) as the system reaches the Mott insulator transition. The phase diagram for the disappearance of superfluidity was studied as a function of momentum and lattice depth. Our phase diagram boundary extrapolates to the critical lattice depth for the superfluid-to-MI transition. When a one-dimensional gas was loaded into a moving optical lattice a sudden broadening of the transition between stable and unstable phases was observed. A new auxiliary vacuum chamber, which is called the science chamber, was designed and installed to improve optical lattice experimental performance and imaging resolution power. Atoms are transported from the main chamber to the science chamber. By further evaporation cooling, BECs with N - 2-3 x 104 atoms are produced in a combination trap of two focused IR laser beams. High-resolution imaging was obtained with a 4-lens stack providing a resolution of - 2pm. The deep Mott insulator(MI) phase was studied using clock shift spectroscopy. Individual MI phases with integer occupation numbers could be addressed through their clock shifts, and their spatial density profile could be imaged ("shell structure"). With increasing trap depth, MI shells expanded from low to high density regions of the cloud.
Book Synopsis Ultracold Atoms in Optical Lattices by : Maciej Lewenstein
Download or read book Ultracold Atoms in Optical Lattices written by Maciej Lewenstein and published by Oxford University Press. This book was released on 2012-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the physics of atoms frozen to ultralow temperatures and trapped in periodic light structures. It introduces the reader to the spectacular progress achieved on the field of ultracold gases and describes present and future challenges in condensed matter physics, high energy physics, and quantum computation.
Book Synopsis Dynamics of Bose-Einstein Condensates in Optical Lattices by : Karen Anna Clara Braun-Munzinger
Download or read book Dynamics of Bose-Einstein Condensates in Optical Lattices written by Karen Anna Clara Braun-Munzinger and published by . This book was released on 2004 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Superfluidity and Bose-Einstein Condensation in Optical Lattices and Porous Media by : Ali A. Shams
Download or read book Superfluidity and Bose-Einstein Condensation in Optical Lattices and Porous Media written by Ali A. Shams and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent experiments suggest that Bose-Einstein condensation (BEC) in liquid 4 He can be localized when the liquid is confined in porous media. We demonstrate in a simple model of hard core bosons using Monte Carlo that the condensate can be separated into two parts. The two regions of condensate are separated by a region of uncondensed fluid that forms in response to a local attractive external potential. The aim is to illustrate that separated condensates, and therefore localized BEC, can be created in porous media. We also simulate using the Worm Algorithm of path integral Monte Carlo a system of bosons in a 1D external potential with periodic boundary conditions. Aim is to explore dependence of superfluidity on BEC. The condensate orbitals and superfluid fractions are calculated at finite temperature for different density regimes, with the goal of investigating (1) the effect of the periodic external potential on the spatial distribution of the condensate, and (2) the effect of BEC localization on macroscopic superflow. We find that for high density systems, BEC is localized in the potential plateaus between successive wells (and depleted in the wells through high density depletion), whereas for low density systems it gets localized (through tight-binding) inside the wells themselves. In both cases, the localization suppresses superflow. The effect of the external potential on the temperature dependence of the superfluidity is also investigated. Results indicate that the external potential suppresses the superfluid fraction at all temperatures, with the superfluid fraction approaching to a value less than 1 as temperature goes to zero. The transition temperature, however, does not seem to be affected in any significant way. Finally, we calculate and compare the condensate and the superfluid fractions in finite-sized Bose systems. We find that the condensate fraction is higher at all temperatures than the superfluid fraction, and the transition is smoothed out so that there is no well-defined transition temperature. The latter effect may have bearing on the results presented in Sindzingre et al. 1.
Book Synopsis Nonlinear Localization, Controlled Transport and Collapse Suppression in Bose-Einstein Condensates by : Jasur Abdullaev
Download or read book Nonlinear Localization, Controlled Transport and Collapse Suppression in Bose-Einstein Condensates written by Jasur Abdullaev and published by . This book was released on 2014 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis includes theoretical studies regarding stability and manipulation of Bose-Einstein condensates (BECs) of ultra-cold atoms in 2D trapping geometry, as well as formation of steady states of exciton-polariton Bose-Einstein condensates created in solid states. We analyze and numerically model the dynamics and localization of the condensates using mean-field model. Chapter 1 contains an introduction to the physics of ultra-cold atom BEC and excitonpolariton BEC which provides a framework for the work presented in later chapters. In Chapter 2, we consider a method for achieving dynamically controllable transport of highly mobile matter-wave solitons in an ultra-cold atom BEC with attractive interparticle interaction loaded into a driven two-dimensional optical lattice. Our numerical analysis based on the mean-field model and the theory based on the effective particle approach demonstrate that fast, time-periodic rocking of the two-dimensional optical lattice enables efficient stabilization and manipulation of spatially localized matter wave packets via induced reconfigurable mobility channels. Chapter 3 consists of an investigation of the instability - collapse of a BEC with attractive interactions. In this chapter we explore the influence of an orbital angular momentum on the collapse of vortex-free elliptic clouds of Bose-Einstein condensates trapped in a radially symmetric harmonic potential or a rotating elliptic potential. The results of our analysis show that the number of trapped ultracold atoms corresponding to the collapse threshold can be radically increased for such rotating nonlinear matter waves in a radially harmonic trap. The results corresponding to a BEC cloud confined in a rotating elliptic trap show that the elongated stationary states can be parallel or perpendicular to the long axis of the trap and display bistable nature. In Chapter 4, we examine spatial localization and dynamical stability of Bose-Einstein condensates of exciton-polaritons in microcavities under the condition of off-resonant spatially inhomogeneous optical pumping both with and without a harmonic trapping potential. We employ the open-dissipative Gross-Pitaevskii model for describing an incoherently pumped polariton condensate coupled to an exciton reservoir. We reveal that spatial localization of the steady-state condensate occurs due to effective self-trapping created by the polariton flows, regardless of the presence of the external potential. A ground state of the polariton condensate with repulsive interactions between the quasiparticles represents a dynamically stable bright dissipative soliton. We also investigate the conditions for sustaining spatially localized structures, with nonzero angular momentum, in the form of single-charge vortices. Chapter 5 consider the existence of novel spatially localized states of exciton-polariton Bose-Einstein condensates in semiconductor microcavities with fabricated periodic inplane potentials. Our theory shows that, under the conditions of continuous nonresonant pumping, localization is observed for a wide range of optical pump parameters due to effective potentials self-induced by the polariton flows in the spatially periodic system. We show that the self-localization of exciton-polaritons in the lattice may occur both in the gaps and bands of the single-particle linear spectrum, and is dominated by the effects of gain and dissipation rather than the structured potential, in sharp contrast to the conservative condensates of ultra-cold alkali atoms.
Author :Panayotis G. Kevrekidis Publisher :Springer Science & Business Media ISBN 13 :3540735917 Total Pages :398 pages Book Rating :4.5/5 (47 download)
Book Synopsis Emergent Nonlinear Phenomena in Bose-Einstein Condensates by : Panayotis G. Kevrekidis
Download or read book Emergent Nonlinear Phenomena in Bose-Einstein Condensates written by Panayotis G. Kevrekidis and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.
Book Synopsis Eighty-seven Rubidium Bose-Einstein Condensates in Optical Lattices by : Gretchen Kathleen Campbell
Download or read book Eighty-seven Rubidium Bose-Einstein Condensates in Optical Lattices written by Gretchen Kathleen Campbell and published by . This book was released on 2006 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Cont.) When a small fraction of atoms was first transferred to k1 before ramping on the lattice, we observed the amplification of scattered atoms into k1 and k2. The superfluid-Mott Insulator transition was studied using microwave spectroscopy in a deep three-dimensional optical lattice. Using the density dependent clock shift we were able to spectroscopically distinguish sites with different occupation numbers, and to directly image sites with occupation number from 1 to 5, revealing the shell structure of the Mott Insulator phase.
Book Synopsis Quantum Fluctuations in a Bose-Einstein Condensate in an Optical Lattice by : Ari K. Tuchman
Download or read book Quantum Fluctuations in a Bose-Einstein Condensate in an Optical Lattice written by Ari K. Tuchman and published by . This book was released on 2004 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bose–Einstein Condensation in Dilute Gases by : C. J. Pethick
Download or read book Bose–Einstein Condensation in Dilute Gases written by C. J. Pethick and published by Cambridge University Press. This book was released on 2008-09-11 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since an atomic Bose-Einstein condensate, predicted by Einstein in 1925, was first produced in the laboratory in 1995, the study of ultracold Bose and Fermi gases has become one of the most active areas in contemporary physics. This book explains phenomena in ultracold gases from basic principles, without assuming a detailed knowledge of atomic, condensed matter, and nuclear physics. This new edition has been revised and updated, and includes new chapters on optical lattices, low dimensions, and strongly-interacting Fermi systems. This book provides a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists. Chapters cover the statistical physics of trapped gases, atomic properties, cooling and trapping atoms, interatomic interactions, structure of trapped condensates, collective modes, rotating condensates, superfluidity, interference phenomena, and trapped Fermi gases. Problems are included at the end of each chapter.
Book Synopsis Experiments with Bose-Einstein Condensates in Optical Lattices and Cold Collisions of Ultracold Atoms by : Angela Susan Mellish
Download or read book Experiments with Bose-Einstein Condensates in Optical Lattices and Cold Collisions of Ultracold Atoms written by Angela Susan Mellish and published by . This book was released on 2005 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experimental realisation of Bose-Einstein condensation in 1995 opened up a wealth of opportunities for probing quantum states of matter. The development of many tools used to manipulate such ultracold samples and the rapid progress on understanding these systems will ultimately lead to great technological advances. The work described in this thesis contributes to this worldwide effort and here we present experiments which investigate the properties and behaviour of ultracold atoms.