Nanoparticle generation: The concept of a stagnation size region for condensation growth

Altman, Igor; Agranovski, Igor E.; Choi, Mansoo

doi:10.1103/physreve.70.062603

Cited by 174 publications

(235 citation statements)

References 7 publications

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“…We briefly discuss an application, the detection of Chern number using edge currents of a topologically ordered optical lattice insulator. [4,5,6,7,8].By combining TOF with externally applied potentials recent work has demonstrated transport in one dimensional optical lattices [9,10]. In a closed two dimensional system the notion of "transport" is less direct.…”

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Edge Transport in 2D Cold Atom Optical Lattices

Scarola

Sarma

2007

Phys. Rev. Lett.

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We theoretically study the observable response of edge currents in two dimensional cold atom optical lattices. As an example we use Gutzwiller mean-field theory to relate persistent edge currents surrounding a Mott insulator in a slowly rotating trapped Bose-Hubbard system to time of flight measurements. We briefly discuss an application, the detection of Chern number using edge currents of a topologically ordered optical lattice insulator. [4,5,6,7,8].By combining TOF with externally applied potentials recent work has demonstrated transport in one dimensional optical lattices [9,10]. In a closed two dimensional system the notion of "transport" is less direct. A recent experiment has applied rotation to weak lattices [11] confining bosons. While far from the single band BH limit, this experiment reveals vortex pinning arising from the weak lattice. Recent work [12,13] also suggests that uniform effective magnetic fields (equivalent to rotation) may be applied to optical lattices already in the BH limit. Either implementation, rotation or an effective magnetic field, can be used as an applied potential valuable in establishing persistent currents, and therefore transport, in two dimensional lattices.Concurrent with experimental progress, a variety of cold atom phases have been proposed in two dimensional optical lattices [2]. Some of the proposed lattice models have rich phase diagrams with particularly intriguing or even unknown ground states, including: extended BH models [2,14,15], higher band spin models [16], fractional quantum Hall models [13], and the Kitaev spin model [17,18,19]. We ask how insulating phases arising in two dimensional lattice models can be studied using a combination of externally applied potentials and TOF.Below we argue that trapping leads to edge states which serve as a probe of bulk insulating states. As a concrete and relevant example we study the slowly rotating BH model in detail. Other studies have considered vortex configurations in the superfluid phase of the rotating uniform BH model [20,21]. Here we study edge effects in the Mott insulating phase of the slowly rotating trapped BH model. We propose that diamagnetic response of edge states can indeed be observed thereby offering a quantitative response probe of a variety of bulk two dimensional insulators. We briefly discuss implications for another insulator where edge states can be used to detect the Chern number [17,22,23] of a topologically ordered insulator, the non-Abelian ground state of the Kitaev model.We first note that response to externally applied fields can be obtained at a quantitative level by analyzing TOF measurements. TOF can be related to the momentum density, ρ k , of particles with lattice momentum k originally trapped in an optical lattice. Observation of ρ k (with sufficient accuracy) can be combined with input parameters to restore quantities of the form: J ≡ k W k ρ k , where W k is any function of k which can be accurately determined from input experimental parameters. By defining W k = M k (∂E k /∂k ...

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confidence: 99%

“…We briefly discuss an application, the detection of Chern number using edge currents of a topologically ordered optical lattice insulator. [4,5,6,7,8].…”

mentioning

confidence: 99%

Edge Transport in 2D Cold Atom Optical Lattices

Scarola

Sarma

2007

Phys. Rev. Lett.

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“…However, as described below, for noise correlation, one is interested in the function in momentum space itself. In time of flight imaging of an insulating state of spinless particles, averaging the noise between shot-to-shot images of the particle distribution released from optical lattices reveals a quantity proportional to the following second order correlation function [14]:…”

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Emergence of Artificial Photons in an Optical Lattice

et al. 2006

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We establish the theoretical feasibility of direct analog simulation of the compact U (1) lattice gauge theories in optical lattices with dipolar bosons. We discuss the realizability of the topological Coulomb phase in extended Bose-Hubbard models in several optical lattice geometries. We predict the testable signatures of this emergent phase in noise correlation measurements, thus suggesting the possible emergence of artificial light in optical lattices.PACS numbers: 03.75. Lm, 03.75.Nt, 11.15.Ha Introduction. Cold atomic gases in optical lattices [1] have provided unprecedented flexibility in designing and studying coherent and correlated condensed matter systems. To date, experiments on strongly correlated, bosonic lattice models have realized the on-site Hubbard-type interaction U , comparable to a nearestneighbor hopping t. Consequently, Several strongly correlated bosonic phases with short range interaction have been studied [2,3,4,5]. However, with the recent observation of Bose-condensation of Chromium [6], which has a magnetic dipolar interaction, a sizable nearest-neighbor interaction V , albeit anisotropic, is now within experimental reach. Moreover, since U can be tuned using Feshbach resonances [7], U/V can, in principle, be made to vary over a wide range. Furthermore, exciting developments [8] in cooling polar molecules offer the possibility of strong and tunable electrical dipole moments.

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“…3, since they have identical reciprocal lattice vectors. VP ordering can be detected by analyzing nontrivial noise correlations [20] that will be present in the time-of-flight image. Namely, in addition to the sharp peaks in the density distribution (i.e., first order correlation function), corresponding to the reciprocal lattice vectors g i =3 of the vortex lattice, one should observe strong incoherent background.…”

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Vortex-Peierls States in Optical Lattices

Burkov

Demler

2006

Phys. Rev. Lett.

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We show that vortices, induced in cold atom superfluids in optical lattices, may order in a novel vortexPeierls ground state. In such a state vortices do not form a simple lattice but arrange themselves in clusters, within which the vortices are partially delocalized, tunneling between classically degenerate configurations. We demonstrate that this exotic quantum many-body state is selected by an order-from-disorder mechanism for a special combination of the vortex filling and lattice geometry that has a macroscopic number of classically degenerate ground states.

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Nanoparticle generation: The concept of a stagnation size region for condensation growth

Cited by 174 publications

References 7 publications

Edge Transport in 2D Cold Atom Optical Lattices

Edge Transport in 2D Cold Atom Optical Lattices

Emergence of Artificial Photons in an Optical Lattice

Vortex-Peierls States in Optical Lattices

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