scholarly journals Finite size corrections within the continuum limit for quantum spins: two-magnon bound states in 1D Heisenberg ferromagnet

2001 ◽  
Vol 21 (4) ◽  
pp. 511-519 ◽  
Author(s):  
A. Ceulemans ◽  
S. Cojocaru ◽  
L.F. Chibotaru
Keyword(s):  
Bound States ◽  
Continuum Limit ◽  
Finite Size ◽  
Heisenberg Ferromagnet ◽  
Quantum Spins ◽  
Finite Size Corrections ◽  
The Continuum

scholarly journals Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau–Ginzburg model

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Okuto Morikawa
Keyword(s):  
Field Theory ◽  
Continuum Limit ◽  
Central Charge ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Superconformal Field Theory ◽  
Lattice Field ◽  
Scaling Dimension ◽  
The Continuum

Abstract The $\mathcal{N}=2$ Landau–Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional $\mathcal{N}=2$ Wess–Zumino model. Recently, the conjectured correspondence has been studied by using numerical techniques based on lattice field theory; the scaling dimension and the central charge have been directly measured. We study a single superfield with a cubic superpotential, and give an extrapolation method to the continuum limit. Then, on the basis of a supersymmetric-invariant numerical algorithm, we perform a precision measurement of the scaling dimension through a finite-size scaling analysis.

ON THE GENERATING FUNCTIONAL FOR PROPER VERTICES OF LOCAL COMPOSITE OPERATORS IN THE GAUGED NAMBU-JONA-LASINIO MODEL

1993 ◽  
Vol 08 (01) ◽  
pp. 135-151 ◽  
Author(s):  
V.A. MIRANSKY
Keyword(s):  
Effective Action ◽  
Bound States ◽  
Continuum Limit ◽  
Critical Line ◽  
Mass Relation ◽  
Generating Functional ◽  
Symmetric Phase ◽  
The Continuum

The generating functional (effective action) for proper vertices of local composite operators [Formula: see text] and [Formula: see text] in the gauged Nambu-Jona-Lasinio model is considered. We show that, unlike QCD-like dynamics, it is a well-defined object in the continuum limit (at the critical line of the model). The effective action is applied for studying spinless bound states in the model. In particular, we show that the bound states disappear with cutoff Λ→∞ in the symmetric phase, near the part of the critical line with α=αc=π/3. A mass relation for scalar bound states is derived in the nonsymmetric phase, near this part of the critical line.

scholarly journals Matching quantum strings to quantum spins: One-loop vs. finite-size corrections

2005 ◽  
Vol 715 (1-2) ◽  
pp. 190-210 ◽  
Author(s):  
N. Beisert ◽  
A.A. Tseytlin ◽  
K. Zarembo
Keyword(s):  
Finite Size ◽  
Quantum Spins ◽  
Finite Size Corrections

scholarly journals Ultralow-threshold laser using super-bound states in the continuum

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Min-Soo Hwang ◽  
Hoo-Cheol Lee ◽  
Kyoung-Ho Kim ◽  
Kwang-Yong Jeong ◽  
Soon-Hong Kwon ◽  
...  
Keyword(s):  
Bound States ◽  
Finite Size ◽  
Quality Factors ◽  
Optical Cavities ◽  
Nanophotonic Devices ◽  
Before And After ◽  
Out Of Plane ◽  
Wavelength Scale ◽  
Symmetry Protected ◽  
The Continuum

AbstractWavelength-scale lasers provide promising applications through low power consumption requiring for optical cavities with increased quality factors. Cavity radiative losses can be suppressed strongly in the regime of optical bound states in the continuum; however, a finite size of the resonator limits the performance of bound states in the continuum as cavity modes for active nanophotonic devices. Here, we employ the concept of a supercavity mode created by merging symmetry-protected and accidental bound states in the continuum in the momentum space, and realize an efficient laser based on a finite-size cavity with a small footprint. We trace the evolution of lasing properties before and after the merging point by varying the lattice spacing, and we reveal this laser demonstrates the significantly reduced threshold, substantially increased quality factor, and shrunken far-field images. Our results provide a route for nanolasers with reduced out-of-plane losses in finite-size active nanodevices and improved lasing characteristics.

Instability and Collapse in Discrete Wave Equations

2005 ◽  
Vol 5 (3) ◽  
pp. 223-241
Author(s):  
A. Carpio ◽  
G. Duro
Keyword(s):  
Continuum Limit ◽  
Wave Equations ◽  
Numerical Solutions ◽  
Blow Up ◽  
Theoretical Predictions ◽  
Initial States ◽  
The Impact ◽  
The Continuum

AbstractUnstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are con- trasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.

Bound states in the continuum in double-hole array perforated in a layer of photonic crystal slab

2019 ◽  
Vol 12 (12) ◽  
pp. 125002 ◽  
Author(s):  
Suxia Xie ◽  
Changzhong Xie ◽  
Song Xie ◽  
Jie Zhan ◽  
Zhijian Li ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Bound States ◽  
Hole Array ◽  
Photonic Crystal Slab ◽  
The Continuum

scholarly journals Differentiating and quantifying exosome secretion from a single cell using quasi-bound states in the continuum

Nanophotonics ◽  
2020 ◽  
Vol 9 (5) ◽  
pp. 1081-1086 ◽  
Author(s):  
Abdoulaye Ndao ◽  
Liyi Hsu ◽  
Wei Cai ◽  
Jeongho Ha ◽  
Junhee Park ◽  
...  
Keyword(s):  
Single Cell ◽  
Optical Sensors ◽  
Figure Of Merit ◽  
Bound States ◽  
Single Cell Analysis ◽  
Optical Cavity ◽  
High Sensitivity ◽  
Cell Secretion ◽  
The Continuum ◽  
Refractive Index Detection

AbstractOne of the key challenges in biology is to understand how individual cells process information and respond to perturbations. However, most of the existing single-cell analysis methods can only provide a glimpse of cell properties at specific time points and are unable to provide cell secretion and protein analysis at single-cell resolution. To address the limits of existing methods and to accelerate discoveries from single-cell studies, we propose and experimentally demonstrate a new sensor based on bound states in the continuum to quantify exosome secretion from a single cell. Our optical sensors demonstrate high-sensitivity refractive index detection. Because of the strong overlap between the medium supporting the mode and the analytes, such an optical cavity has a figure of merit of 677 and sensitivity of 440 nm/RIU. Such results facilitate technological progress for highly conducive optical sensors for different biomedical applications.

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