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Supersymmetry in the time domain and its applications in optics [PDF]

open access: yesNature Communications, 2020
Supersymmetric quantum mechanics enables the description of phenomena exhibiting a supersymmetry only in the space domain. Here, the authors show an underlying time-domain supersymmetry exists in optics, acoustics, and elasticity, and study its ...
Carlos García-Meca   +2 more
doaj   +2 more sources

Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry

open access: yesBeni-Suef University Journal of Basic and Applied Sciences, 2022
Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj   +2 more sources

Orbital frontiers: harnessing higher modes in photonic simulators. [PDF]

open access: yesNanophotonics
Abstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Noh J, Schulz J, Benalcazar W, Jörg C.
europepmc   +2 more sources

Complex Langevin dynamics and supersymmetric quantum mechanics

open access: yesJournal of High Energy Physics, 2021
Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions.
Anosh Joseph, Arpith Kumar
doaj   +1 more source

Numerical bootstrap in quantum mechanics

open access: yesPhysics Letters B, 2021
We study the effectiveness of the numerical bootstrap techniques recently developed in [1] for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects.
Jyotirmoy Bhattacharya   +4 more
doaj   +1 more source

Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]

open access: yesIranian Journal of Astronomy and Astrophysics, 2019
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
doaj   +1 more source

New AdS2/CFT1 pairs from AdS3 and monopole bubbling

open access: yesJournal of High Energy Physics, 2023
We present general results on generating AdS2 solutions to Type II supergravity from AdS3 solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small 𝒩 = 4 supersymmetry, that we show can be embedded into a more general
Andrea Conti   +2 more
doaj   +1 more source

Membrane quantum mechanics

open access: yesNuclear Physics B, 2015
We consider the multiple M2-branes wrapped on a compact Riemann surface and study the arising quantum mechanics by taking the limit where the size of the Riemann surface goes to zero.
Tadashi Okazaki
doaj   +1 more source

Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation

open access: yesFortschritte der Physik, Volume 71, Issue 12, December 2023., 2023
Abstract It is shown in this article that an explicit construction of a four‐dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber‐Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel ...
Suddhasattwa Brahma   +6 more
wiley   +1 more source

Fractional Supersymmetric Hermite Polynomials

open access: yesMathematics, 2020
We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
doaj   +1 more source

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