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Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Formula: see text] -symmetric Scarf-II potential.
PLoS One
December 2023
College of Science, China Agricultural University, Beijing, China.
We study the nonlinear localized modes in two-component Bose-Einstein condensates with parity-time-symmetric Scarf-II potential, which can be described by the coupled Gross-Pitaevskii equations. Firstly, we investigate the linear stability of the nonlinear modes in the focusing and defocusing cases, and get the stable and unstable domains of nonlinear localized modes. Then we validate the results by evolving them with 5% perturbations as an initial condition.
View Article and Find Full Text PDFObservation of Critical Phenomena in Parity-Time-Symmetric Quantum Dynamics.
Phys Rev Lett
December 2019
Beijing Computational Science Research Center, Beijing 100084, China.
We experimentally simulate nonunitary quantum dynamics using a single-photon interferometric network and study the information flow between a parity-time- (PT-)symmetric non-Hermitian system and its environment. We observe oscillations of quantum-state distinguishability and complete information retrieval in the PT-symmetry-unbroken regime. We then characterize in detail critical phenomena of the information flow near the exceptional point separating the PT-unbroken and PT-broken regimes, and demonstrate power-law behavior in key quantities such as the distinguishability and the recurrence time.
View Article and Find Full Text PDFFragile aspects of topological transition in lossy and parity-time symmetric quantum walks.
Sci Rep
August 2018
Department of Physics, Indiana University-Purdue University Indianapolis (IUPUI), Indianapolis, Indiana, 46202, USA.
Quantum walks often provide telling insights about the structure of the system on which they are performed. In [Formula: see text]-symmetric and lossy dimer lattices, the topological properties of the band structure manifest themselves in the quantization of the mean displacement of such a walker. We investigate the fragile aspects of a topological transition in these two dimer models.
View Article and Find Full Text PDFWe address the transverse mobility of spatial solitons in competing parity-time-symmetric linear and nonlinear lattices. The competition between out-of-phase linear and nonlinear lattices results in a drastic mobility enhancement within a range of soliton energies. We show that within such a range, the addition of even a small imaginary part in the linear potential makes soliton mobility strongly asymmetric.
View Article and Find Full Text PDFPhase transition in multimode nonlinear parity-time-symmetric waveguide couplers.
Sci Rep
February 2016
Department of Electrical Engineering, University at Buffalo, The State University of New York, Buffalo, New York 14260, USA.
Parity-time-symmetric (-symmetric) optical waveguide couplers offer new possibilities for fast, ultracompact, configurable, all-optical signal processing. Here, we study nonlinear properties of finite-size multimode -symmetric couplers and predict the nonlinear oscillatory dynamics that can be controlled by three parameters: input light intensity, gain and loss amplitude, and input beam profile. Moreover, we show that this dynamics is driven by a transition triggered by nonlinearity in these structures, and we demonstrate that with the increase of the number of dimers in the system, the transition threshold decreases and converges to the value corresponding to an infinite array.
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