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Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
Oliver Bendix, Ragnar Fleischmann, Tsampikos Kottos +1
We study the effect of localized modes in lattices of size N with parity-time (PT) symmetry. Such modes are arranged in pairs of quasi-degenerate levels with splitting delta exp{-N…
Random-matrix modeling of semi-linear response, the generalized variable range hopping picture, and the conductance of mesoscopic rings
Alexander Stotland, Tsampikos Kottos, Doron Cohen
Semi-linear response theory determines the absorption coefficient of a driven system using a resistor network calculation: Each unperturbed energy level of a particle in a vibratin…
Quantum decay into a non-flat continuum
James Aisenberg, Itamar Sela, Tsampikos Kottos +2
We study the decay of a prepared state into non-flat continuum. We find that the survival probability might exhibit either stretched-exponential or power-law decay, dependin…
Probing Localization in Absorbing Systems via Loschmidt Echos
Joshua D. Bodyfelt, Mei C. Zheng, Tsampikos Kottos +2
We measure Anderson localization in quasi-one-dimensional waveguides in the presence of absorption by analyzing the echo dynamics due to small perturbations. We specifically show t…
Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
Moritz Hiller, Tsampikos Kottos, Theo Geisel
We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamilt…
Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
Katrina Smith-Mannschott, Maya Chuchem, Moritz Hiller +2
We consider an atomic Bose-Einstein condensate (BEC) loaded in a biased double-well trap with tunneling rate and inter-atomic interaction . The BEC is prepared such that all…