Nonequilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates

Mertes, K. M.; Merrill, Jason W.; Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G.; Hall, D. S.

doi:10.1103/physrevlett.99.190402

Cited by 210 publications

(297 citation statements)

References 24 publications

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“…The non-equilibrium dynamics of a binary condensate has been shown to support (experimentally and theoretically) long lived ring excitations whereby each component inter-penetrates the other one repeatedly [322] (see Fig. 8).…”

Section: Spinor/multicomponent Condensatesmentioning

confidence: 99%

Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques

2008

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Abstract. The aim of the present review is to introduce the reader to some of the physical notions and of the mathematical methods that are relevant to the study of nonlinear waves in Bose-Einstein Condensates (BECs). Upon introducing the general framework, we discuss the prototypical models that are relevant to this setting for different dimensions and different potentials confining the atoms. We analyze some of the model properties and explore their typical wave solutions (plane wave solutions, bright, dark, gap solitons, as well as vortices). We then offer a collection of mathematical methods that can be used to understand the existence, stability and dynamics of nonlinear waves in such BECs, either directly or starting from different types of limits (e.g., the linear or the nonlinear limit, or the discrete limit of the corresponding equation). Finally, we consider some special topics involving more recent developments, and experimental setups in which there is still considerable need for developing mathematical as well as computational tools.PACS numbers: 03.75. Kk, 03.75.Lm, 05.45 • EP: Ermakov-Pinney (Equation)• GP: Gross-Pitaevskii (Equation)• KdV: Korteweg-de Vries (Equation)• LS: Lyapunov-Schmidt (Technique)• MT: Magnetic Trap• NLS: Nonlinear Schrödinger (Equation)• NPSE: Non-polynomial Schrödinger Equation IntroductionThe phenomenon of Bose-Einstein condensation is a quantum phase transition originally predicted by Bose [1] and Einstein [2,3] in 1924. In particular, it was shown that below a critical transition temperature T c , a finite fraction of particles of a boson gas (i.e., whose particles obey the Bose statistics) condenses into the same quantum state, known as the Bose-Einstein condensate (BEC). Although BoseEinstein condensation is known to be a fundamental phenomenon, connected, e.g., to superfluidity in liquid helium and superconductivity in metals (see, e.g., Ref.[4]), BECs were experimentally realized 70 years after their theoretical prediction: this major achievement took place in 1995, when different species of dilute alkali vapors confined in a magnetic trap (MT) were cooled down to extremely low temperatures [5][6][7], and has already been recognized through the 2001 Nobel prize in Physics [8,9]. This first unambiguous manifestation of a macroscopic quantum state in a manybody system sparked an explosion of activity, as reflected by the publication of several thousand papers related to BECs since then. Nowadays there exist more than fifty experimental BEC groups around the world, while an enormous amount of theoretical work has followed and driven the experimental efforts, with an impressive impact on many branches of Physics.From a theoretical standpoint, and for experimentally relevant conditions, the static and dynamical properties of a BEC can be described by means of an effective mean-field equation known as the Gross-Pitaevskii (GP) equation [10,11]. This is a variant of the famous nonlinear Schrödinger (NLS) equation [12] (incorporating an external potential used to confine th...

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Section: Spinor/multicomponent Condensatesmentioning

confidence: 99%

Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques

2008

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“…The three-body recombination term is left out of (37) because the two-body term remains and is much more significant, with rate constants K b = 1.194(19) × 10 −13 cm 3 s −1 and K ab = 0.780(19) × 10 −13 cm 3 s −1 as measured in Ref. [47]. Lastly the background loss, has been measured for atomic chips to be no greater than order Γ l = 10 −1 s −1 [28].…”

Section: Particle Loss In Atom Chipsmentioning

confidence: 99%

Macroscopic quantum information processing using spin coherent states

Byrnes

Rosseau

Khosla

et al. 2015

Optics Communications

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Previously a new scheme of quantum information processing based on spin coherent states of two component Bose-Einstein condensates was proposed (Byrnes et al. Phys. Rev. A 85, 40306(R)). In this paper we give a more detailed exposition of the scheme, expanding on several aspects that were not discussed in full previously. The basic concept of the scheme is that spin coherent states are used instead of qubits to encode qubit information, and manipulated using collective spin operators. The scheme goes beyond the continuous variable regime such that the full space of the Bloch sphere is used. We construct a general framework for quantum algorithms to be executed using multiple spin coherent states, which are individually controlled. We illustrate the scheme by applications to quantum information protocols, and discuss possible experimental implementations. Decoherence effects are analyzed under both general conditions and for the experimental implementation proposed.

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“…In order to study even richer highly correlated systems, multicomponent (spinor) gases have been experimentally realized [12][13][14]. This extension involves different hyperfine states which provide a pseudospin degree of freedom [15][16][17][18]. Control of the intra-and interspecies interaction strength via Feshbach resonances or state-dependent potentials [19][20][21] opens the way for realizing a variety of integrable models.…”

Section: Introductionmentioning

confidence: 99%

Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

Klauser

Caux

2011

Phys. Rev. A

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Equilibrium thermodynamic properties of interacting two-component bosons in one dimensionKlauser, A.M.; Caux, J.S. General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Download date: 12 May 2018PHYSICAL REVIEW A 84, 033604 (2011) The interplay of quantum statistics, interactions, and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe ansatz and obtain the equation of state as a function of temperature and of the interaction strength, the relative chemical potential, and either the total chemical potential or a fixed number of particles, allowing quantification of the full crossover behavior of the system between its low-temperature ferromagnetic and high-temperature unpolarized regime, and from the low coupling decoherent regime to the fermionization regime at high interaction. Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

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Nonequilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates

Cited by 210 publications

References 24 publications

Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques

Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques

Macroscopic quantum information processing using spin coherent states

Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

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