Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and via explicit large deviations at various levels [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2023 For boundary-driven non-equilibrium Markov models of non-interacting particles in one dimension, either in continuous space with the Fokker–Planck dynamics involving an arbitrary force F(x) and an arbitrary diffusion coefficient D(x), or in discrete ...
C. Monthus
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Quantum chaos in supersymmetric quantum mechanics: An exact diagonalization study [PDF]
Physical Review D, 2022 We use exact diagonalization to study energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension ˆ H S = ˆ H B ⊗ I + ˆ x 1 ⊗ σ 1 + ˆ x 2 ⊗ σ 3 of the bosonic Hamiltonian ˆ H B = ˆ p 21 + ˆ p 22 + ˆ x 21 ˆ ...
P. Buividovich
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Supersymmetric quantum mechanics and the Riemann hypothesis [PDF]
International Journal of Modern Physics A, 2022 We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the ...
Pushpa Kalauni, K. Milton
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Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass [PDF]
Journal of Mathematics and Physics, 2021 X iv :2 10 6. 08 46 7v 1 [ qu an tph ] 1 5 Ju n 20 21 Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass Bruno G. da Costa, a) Genilson A. C. da Silva, b) and Ignacio S.
Bruno G. da Costa +2 more
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The Generalized OTOC from Supersymmetric Quantum Mechanics - Study of Random Fluctuations from Eigenstate Representation of Correlation Functions [PDF]
Symmetry, 2020 The concept of the out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena in the context of quantum statistical mechanics.
Kaushik Y. Bhagat +9 more
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Noncommutativity approach to supersymmetry on the lattice: Supersymmetric quantum mechanics and an inconsistency [PDF]
, 2006 It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and ...
Falk Bruckmann, Mark de Kok
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Results in Physics, 2022 Supersymmetric quantum mechanics provides a powerful method for solving the Schrödinger equation in quantum mechanics problems. In this paper, a hyperbolic tangent superpotential is generalized according to a new hyperbolic tangent superpotential.
Shi-Kun Zhong +6 more
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Local G 2-manifolds, Higgs bundles and a colored quantum mechanics
Journal of High Energy Physics, 2021 M-theory on local G 2-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered G 2-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle ...
Max Hübner
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The twisted index and topological saddles
Journal of High Energy Physics, 2022 The twisted index of 3d N $$ \mathcal{N} $$ = 2 gauge theories on S 1 × Σ has an algebro-geometric interpretation as the Witten index of an effective supersymmetric quantum mechanics.
Mathew Bullimore +3 more
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Black hole entropy from quantum mechanics
Journal of High Energy Physics, 2023 We provide evidence for a holographic duality between superconformal quantum mechanics on the moduli space of Yang-Mills instantons and M-theory in certain asymptotically AdS 7 × S 4 backgrounds with a plane-wave boundary metric.
Nick Dorey, Rishi Mouland, Boan Zhao
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