Electronic transport in a Cantor stub waveguide network

Sengupta, Sheelan; Chakrabarti, Abhijit; Chattopadhyay, S.

doi:10.1103/physrevb.71.134204

Cited by 15 publications

(4 citation statements)

References 30 publications

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“…From the perspective of quantum information schemes [7,8,9], robust, high-fidelity Mottinsulator states are required and the presence of a condensate is in fact a hindrance. The condensate is also of interest in and of itself; its ground-state properties and excitation spectrum have been studied in various ways [10,11,12,13,14,15,16,17] and show vast differences from more commonly encountered condensates in free space or in the strong-tunneling limit in shallow optical lattices. Finally, the interlayer structure is of interest as a model realization of spatially coexisting quantum phases separated by critical crossover regimes.…”

Section: Introductionmentioning

confidence: 99%

Probing condensate order in deep optical lattices

Sun

Lannert²,

Vishveshwara³

2009

Phys. Rev. A

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We study interacting bosons in optical lattices in the weak-tunneling regime in systems that exhibit the coexistence of Mott-insulating and condensed phases. We discuss the nature of the condensed ground state in this regime and the validity of the mean-field treatment thereof. We suggest two experimental signatures of condensate order in the system. (1) We analyze the hyperfine configuration of the system and propose a set of experimental parameters for observing radio-frequency spectra that would demonstrate the existence of the condensed phase between Mott-insulating phases. We derive the structure of the signal from the condensate in a typical trapped system, taking into account Goldstone excitations, and discuss its evolution as a function of temperature. (2) We study matter-wave interference patterns displayed by the system upon release from all confining potentials. We show that as the density profiles evolve very differently for the Mott-insulating phase and the condensed phase, they can be distinguished from one another when the two phases coexist.Comment: 15 pages, 9 figures, RevTeX; content changed, references change

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Section: Introductionmentioning

confidence: 99%

Probing condensate order in deep optical lattices

Sun

Lannert²,

Vishveshwara³

2009

Phys. Rev. A

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“…Cross sections of normalized quasi-momentum distributions (alongx +ŷ) at three values of t/U (along this diagonal the section extends to k = ± √ 2). In each case the data is plotted along with the theoretical profile (red lines)[22]. The dashed lines (not visible in the bottom panel) reflect the uncertainty in the theory resulting from the single-shot ±0.5ER uncertainty in the lattice depth.…”

mentioning

confidence: 99%

Mott-Insulator Transition in a Two-Dimensional Atomic Bose Gas

2007

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Cold atoms in periodic potentials are versatile quantum systems for implementing simple models prevalent in condensed matter theory. Here we realize the 2D Bose-Hubbard model by loading a Bose-Einstein condensate into an optical lattice, and study the resulting Mott insulator. The measured momentum distributions agree quantitatively with theory (no adjustable parameters). In these systems, the Mott insulator forms in a spatially discrete shell structure which we probe by focusing on correlations in atom shot noise. These correlations show a marked dependence on the lattice depth, consistent with the changing size of the insulating shell expected from simple arguments.

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“…Bertolotti et al studied theoretically the spectral transmission properties of a self-similar optical Fabry-Perot resonator and a self-similar corrugated optical waveguide [36,37]. Lavrinenko et al investigated wave propagation through a subclass of deterministic nonperiodic media [38], etc [39][40][41][42][43][44][45]. In particular, the triadic Cantor set structure, which is considered as the simplest fractal [32], has been studied by several groups.…”

Section: Introductionmentioning

confidence: 99%

Transport properties through graphene-based fractal and periodic magnetic barriers

Sun

Fang

Song

et al. 2010

J. Phys.: Condens. Matter

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We investigate the transmission of electrons in a single layer graphene system subjected to nanoscale magnetic barriers and wells arranged in the Cantor pre-fractal and the finite periodic distribution. We find that the angular threshold and angular asymmetry of the transmission spectra are closely related to the ratio between the magnitude of the vector potential and the incident energy (|A|/E), which also determine the number and width of the resonant domains for the finite periodically magnetic modulation and the splitting features for the pre-fractal distribution. For the finite periodically magnetic modulation, the position, magnitude, and interval of the oscillatory domains in the conductance spectra are determined by the value |A|. However, due to the disorder of the pre-fractal distribution, the oscillation of the conductance spectrum is less regular compared to the corresponding one of the finite periodic distribution. We also find that the conductance approaches the classical limit in the high-Fermi-energy region but exceeds it in the low-Fermi-energy region, and the critical point of the two regions is negatively correlated with the magnitude of the vector potential.

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Electronic transport in a Cantor stub waveguide network

Cited by 15 publications

References 30 publications

Probing condensate order in deep optical lattices

Probing condensate order in deep optical lattices

Mott-Insulator Transition in a Two-Dimensional Atomic Bose Gas

Transport properties through graphene-based fractal and periodic magnetic barriers

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