scholarly journals Flat-floor Bubbles, Dark Solitons, and Vortices Stabilized by Inhomogeneous Nonlinear Media

2021 ◽  
Author(s):  
Liangwei Zeng ◽  
Boris A. Malomed ◽  
Dumitru Mihalache ◽  
Yi Cai ◽  
Xiaowei Lu ◽  
...  
Keyword(s):  
Excited States ◽  
Central Area ◽  
Matter Wave ◽  
Two Dimensional ◽  
Winding Number ◽  
Stability Boundaries ◽  
Nonlinear Media ◽  
Topological Excitations ◽  
Thomas Fermi ◽  
Dark Solitons

Abstract We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area is broad enough, it supports ground states in the form of flat-floor “bubbles”, and topological excitations, in the form of dark solitons in 1D and vortices with winding number m in 2D. The ground and excited states are accurately approximated by the Thomas-Fermi expressions. The 1D and 2D bubbles, as well as vortices with m=1, are completely stable, while the dark solitons and vortices with m=2 have nontrivial stability boundaries in their existence areas. Unstable dark solitons are expelled to the periphery, while unstable double vortices split in rotating pairs of unitary ones. Displaced stable vortices precess around the central point.

Interacting fermions in a two-dimensional trap and fractional exclusion statistics

2000 ◽  
Vol 78 (1) ◽  
pp. 9-19 ◽  
Author(s):  
M K Srivastava ◽  
R K Bhaduri ◽  
J Law ◽  
M.V.N. Murthy
Keyword(s):  
Excited States ◽  
State Energy ◽  
Local Density ◽  
Two Dimensional ◽  
Body System ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
Number Of Particles

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite-temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto a system of N noninteracting quasiparticles enables us to predict the energies of the ground and excited states of the N-body system. PACS Nos.: 05.30-d, 73.20Dx

Two-dimensional dark solitons in diffusive nonlocal nonlinear media

2015 ◽  
Vol 44 (2) ◽  
pp. 172-177
Author(s):  
Si-Liu Xu ◽  
Nikola Petrović ◽  
Milivoj R. Belić
Keyword(s):  
Two Dimensional ◽  
Nonlinear Media ◽  
Dark Solitons ◽  
Nonlocal Nonlinear Media ◽  
Nonlocal Nonlinear

scholarly journals Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part I. Single-particle states

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Jiaju Zhang ◽  
M.A. Rajabpour
Keyword(s):  
Excited States ◽  
Single Particle ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Large Momentum ◽  
Particle State ◽  
Two Dimensional ◽  
Universal Form ◽  
Conformal Field ◽  
Harmonic Chain

Abstract We investigate the Rényi entropy of the excited states produced by the current and its derivatives in the two-dimensional free massless non-compact bosonic theory, which is a two-dimensional conformal field theory. We also study the subsystem Schatten distance between these states. The two-dimensional free massless non-compact bosonic theory is the continuum limit of the finite periodic gapless harmonic chains with the local interactions. We identify the excited states produced by current and its derivatives in the massless bosonic theory as the single-particle excited states in the gapless harmonic chain. We calculate analytically the second Rényi entropy and the second Schatten distance in the massless bosonic theory. We then use the wave functions of the excited states and calculate the second Rényi entropy and the second Schatten distance in the gapless limit of the harmonic chain, which match perfectly with the analytical results in the massless bosonic theory. We verify that in the large momentum limit the single-particle state Rényi entropy takes a universal form. We also show that in the limit of large momenta and large momentum difference the subsystem Schatten distance takes a universal form but it is replaced by a new corrected form when the momentum difference is small. Finally we also comment on the mutual Rényi entropy of two disjoint intervals in the excited states of the two-dimensional free non-compact bosonic theory.

Dark solitons in weakly saturable nonlinear media

1997 ◽  
Vol 55 (1) ◽  
pp. 1221-1224 ◽  
Author(s):  
Yijiang Chen
Keyword(s):  
Nonlinear Media ◽  
Dark Solitons

scholarly journals Collisional-inhomogeneity-induced generation of matter-wave dark solitons

2010 ◽  
Vol 374 (37) ◽  
pp. 3863-3868 ◽  
Author(s):  
C. Wang ◽  
P.G. Kevrekidis ◽  
T.P. Horikis ◽  
D.J. Frantzeskakis
Keyword(s):  
Matter Wave ◽  
Dark Solitons

scholarly journals Ultrabroadband two-dimensional electronic spectroscopy reveals energy flow pathways in LHCII across the visible spectrum

2019 ◽  
Vol 205 ◽  
pp. 09034
Author(s):  
Minjung Son ◽  
Alberta Pinnola ◽  
Roberto Bassi ◽  
Gabriela S. Schlau-Cohen
Keyword(s):  
Energy Transfer ◽  
Excited States ◽  
Energy Flow ◽  
Energy Levels ◽  
Electronic Spectroscopy ◽  
Visible Region ◽  
Visible Spectrum ◽  
Energy Relaxation ◽  
Two Dimensional ◽  
Flow Pathways

We utilise ultrabroadband two-dimensional electronic spectroscopy to map out pathways of energy flow in LHCII across the entire visible region. In addition to the well-established, low-lying chlorophyll Qy bands, our results reveal additional pathways of energy relaxation on the higher-lying excited states involving the S2 energy levels of carotenoids, including ultrafast carotenoid-to-chlorophyll energy transfer on 90-150 fs timescales.

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