Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
University of Massachusetts Amherst
Mathematics and Statistics Department Faculty Publication Series
- Discipline
Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Scattering Of Waves By Impurities In Precompressed Granular Chains, Panos Kevrekidis, Alejandro Martinez, Hiromi Yasuda, Eunho Kim, Mason Porter, Jinkyu Yang
Scattering Of Waves By Impurities In Precompressed Granular Chains, Panos Kevrekidis, Alejandro Martinez, Hiromi Yasuda, Eunho Kim, Mason Porter, Jinkyu Yang
Mathematics and Statistics Department Faculty Publication Series
We study scattering of waves by impurities in strongly precompressed granular chains. We explore the linear scattering of plane waves and identify a closed-form expression for the re ection and transmission coefficients for the scattering of the waves from both a single impurity and a double impurity. For single-impurity chains, we show that, within the transmission band of the host granular chain, high-frequency waves are strongly attenuated (such that the transmission coefficient vanishes as the wavenumber k → ± π), whereas low-frequency waves are well-transmitted through the impurity. For double-impurity chains, we identify a resonance—enabling full transmission at a particular …
Energy Criterion For The Spectral Stability Of Discrete Breathers, Panos Kevrekidis, Jesus Cuevas-Maraver, Dmitry Pelinovsky
Energy Criterion For The Spectral Stability Of Discrete Breathers, Panos Kevrekidis, Jesus Cuevas-Maraver, Dmitry Pelinovsky
Mathematics and Statistics Department Faculty Publication Series
No abstract provided.
Dark-Bright Soliton Interactions Beyond The Integrable Limit, G. Katsimiga, J. Stockhofe, Panos Kevrekidis, P. Schmelcher
Dark-Bright Soliton Interactions Beyond The Integrable Limit, G. Katsimiga, J. Stockhofe, Panos Kevrekidis, P. Schmelcher
Mathematics and Statistics Department Faculty Publication Series
In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study analytically via a two-soliton ansatz adopted within a variational formulation the interaction between two dark-bright solitons in a homogeneous environment beyond the integrable regime, by considering general inter/intra-atomic interaction coefficients. We retrieve the possibility of a fixed point in the case where the bright solitons are out of phase. As the inter-component interaction is increased, we also identify an exponential instability of the two-soliton state, associated with a subcritical pitchfork …
Performing Hong-Ou-Mandel-Type Numerical Experiments With Repulsive Condensates: The Case Of Dark And Dark-Bright Solitons, Panos Kevrekidis, Zhi-Yuan Sun, Peter Kruger
Performing Hong-Ou-Mandel-Type Numerical Experiments With Repulsive Condensates: The Case Of Dark And Dark-Bright Solitons, Panos Kevrekidis, Zhi-Yuan Sun, Peter Kruger
Mathematics and Statistics Department Faculty Publication Series
The Hong-Ou-Mandel experiment leads indistinguishable photons simultaneously reach-ing a 50:50 beam splitter to emerge on the same port through two-photon interference.Motivated by this phenomenon, we consider numerical experiments of the same flavor forclassical, wave objects in the setting of repulsive condensates. We examine dark solitonsinteracting with a repulsive barrier, a case in which we find no significant asymmetries inthe emerging waves after the collision, presumably due to their topological nature. We alsoconsider case examples of two-component systems, where the dark solitons trap a brightstructure in the second-component (dark-bright solitary waves). For these, pronouncedasymmetries upon collision are possible for the non-topological …
Vector Dark-Antidark Solitary Waves In Multi-Component Bose-Einstein Condensates, Panos Kevrekidis, I. Danaila, M. Khamehchi, V. Gokhroo, P. Engels
Vector Dark-Antidark Solitary Waves In Multi-Component Bose-Einstein Condensates, Panos Kevrekidis, I. Danaila, M. Khamehchi, V. Gokhroo, P. Engels
Mathematics and Statistics Department Faculty Publication Series
Multi-component Bose-Einstein condensates exhibit an intriguing variety of nonlinear structures. In recent theoretical work, the notion of magnetic solitons has been introduced. Here we generalize this concept to vector dark-antidark solitary waves in multi-component Bose-Einstein condensates. We first provide concrete experimental evidence for such states in an atomic BEC and subsequently illustrate the broader concept of these states, which are based on the interplay between miscibility and inter-component repulsion. Armed with this more general conceptual framework, we expand the notion of such states to higher dimensions presenting the possibility of both vortex-antidark states and ring-antidark-ring (dark soliton) states. We perform …