scholarly journals Entanglement of local operators and the butterfly effect

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Jonah Kudler-Flam ◽  
Masahiro Nozaki ◽  
Shinsei Ryu ◽  
Mao Tian Tan
Keyword(s):  
Local Operators ◽  
Butterfly Effect

scholarly journals Solving the 2D SUSY Gross-Neveu-Yukawa model with conformal truncation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. Liam Fitzpatrick ◽  
Emanuel Katz ◽  
Matthew T. Walters ◽  
Yuan Xin
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Fine Tuning ◽  
Yukawa Model ◽  
Spectral Functions ◽  
Scalar Superfield ◽  
Local Operators ◽  
Dimensionless Coupling ◽  
Zumino Model ◽  
Yukawa Theory

Abstract We use Lightcone Conformal Truncation to analyze the RG flow of the two-dimensional supersymmetric Gross-Neveu-Yukawa theory, i.e. the theory of a real scalar superfield with a ℤ2-symmetric cubic superpotential, aka the 2d Wess-Zumino model. The theory depends on a single dimensionless coupling $$ \overline{g} $$ g ¯ , and is expected to have a critical point at a tuned value $$ {\overline{g}}_{\ast } $$ g ¯ ∗ where it flows in the IR to the Tricritical Ising Model (TIM); the theory spontaneously breaks the ℤ2 symmetry on one side of this phase transition, and breaks SUSY on the other side. We calculate the spectrum of energies as a function of $$ \overline{g} $$ g ¯ and see the gap close as the critical point is approached, and numerically read off the critical exponent ν in TIM. Beyond the critical point, the gap remains nearly zero, in agreement with the expectation of a massless Goldstino. We also study spectral functions of local operators on both sides of the phase transition and compare to analytic predictions where possible. In particular, we use the Zamolodchikov C-function to map the entire phase diagram of the theory. Crucial to this analysis is the fact that our truncation is able to preserve supersymmetry sufficiently to avoid any additional fine tuning.

scholarly journals Locality and entanglement of indistinguishable particles

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Till Jonas Frederick Johann ◽  
Ugo Marzolino
Keyword(s):  
Quantum Mechanics ◽  
Quantum Correlation ◽  
Indistinguishable Particle ◽  
Local Operators

AbstractEntanglement is one of the strongest quantum correlation, and is a key ingredient in fundamental aspects of quantum mechanics and a resource for quantum technologies. While entanglement theory is well settled for distinguishable particles, there are five inequivalent approaches to entanglement of indistinguishable particles. We analyse the different definitions of indistinguishable particle entanglement in the light of the locality notion. This notion is specified by two steps: (i) the identification of subsystems by means of their local operators; (ii) the requirement that entanglement represent correlations between the above subsets of operators. We prove that three of the aforementioned five entanglement definitions are incompatible with any locality notion defined as above.

scholarly journals Butterfly effect and spatial structure of information spreading in a chaotic cellular automaton

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Shu-Wei Liu ◽  
J. Willsher ◽  
T. Bilitewski ◽  
Jin-Jie Li ◽  
A. Smith ◽  
...  
Keyword(s):  
Spatial Structure ◽  
Cellular Automaton ◽  
Information Spreading ◽  
Butterfly Effect

scholarly journals Addendum: Butterfly effect and a self-modulating El Niño response to global warming

Nature ◽  
2021 ◽  
Vol 591 (7849) ◽  
pp. E14-E15
Author(s):  
Wenju Cai ◽  
Benjamin Ng ◽  
Tao Geng ◽  
Lixin Wu ◽  
Agus Santoso ◽  
...  
Keyword(s):  
Global Warming ◽  
El Niño ◽  
El Nino ◽  
Butterfly Effect

scholarly journals Butterfly effect in interacting Aubry-Andre model: Thermalization, slow scrambling, and many-body localization

2019 ◽  
Vol 1 (3) ◽  
Author(s):  
Shenglong Xu ◽  
Xiao Li ◽  
Yi-Ting Hsu ◽  
Brian Swingle ◽  
S. Das Sarma
Keyword(s):  
Many Body ◽  
Butterfly Effect

Cascade Catalytic Nanoplatform Based on “Butterfly Effect” for Enhanced Immunotherapy

2021 ◽  
pp. 2002171
Author(s):  
Yanjiang Shao ◽  
Zeying Wang ◽  
Yutong Hao ◽  
Xueli Zhang ◽  
Ning Wang ◽  
...  
Keyword(s):  
Butterfly Effect
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