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How to differentiate a quantum stochastic cocycle. [PDF]
, 2010 Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin +2 more
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PT Symmetry, Non-Gaussian Path Integrals, and the Quantum Black–Scholes Equation
Entropy, 2019 The Accardi–Boukas quantum Black–Scholes framework, provides a means by which one can apply the Hudson–Parthasarathy quantum stochastic calculus to problems in finance.
Will Hicks
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How to perform the coherent measurement of a curved phase space by continuous isotropic measurement. I. Spin and the Kraus-operator geometry of $\mathrm{SL}(2,\mathbb{C})$ [PDF]
Quantum, 2023 The generalized $Q$-function of a spin system can be considered the outcome probability distribution of a state subjected to a measurement represented by the spin-coherent-state (SCS) positive-operator-valued measure (POVM).
Christopher S. Jackson, Carlton M. Caves
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On stochastic quantisation of supersymmetric theories
Physics Letters B, 2019 We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess–Zumino model), we determine the kernels that ensure the ...
Laurent Baulieu
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Physical Review Research, 2021 The fermion sign problem, when severe, prevents the computation of physical quantities of a system of interacting fermions via stochastic evaluation of its path integral.
Andrei Kryjevski +2 more
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Physics Letters B, 2021 We report on a novel phenomenon of particle cosmology, which features specific cosmological phase transitions via quantum tunnelings through multiple vacua.
Zihan Zhou +5 more
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Chaotic states and stochastic integration in quantum systems [PDF]
Russian Mathematical Surveys, 1992 Quantum chaotic states over a noncommutative monoid, a unitalization of a noncommutative Ito algebra parametrizing a quantum stochastic Levy process, are described in terms of their infinitely divisible generating functionals over the monoid-valued processes on an atomless `space-time' set.
openaire +3 more sources
Triviality of the 2D stochastic Allen-Cahn equation [PDF]
, 2012 We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber +8 more
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(Non) equilibrium dynamics: a (broken) symmetry of the Keldysh generating functional
SciPost Physics, 2018 We unveil the universal (model-independent) symmetry satisfied by Schwinger-Keldysh quantum field theories whenever they describe equilibrium dynamics.
Camille Aron, Giulio Biroli, Leticia F. Cugliandolo
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Stable solvers for real-time Complex Langevin
Journal of High Energy Physics, 2021 This study explores the potential of modern implicit solvers for stochastic partial differential equations in the simulation of real-time complex Langevin dynamics.
Daniel Alvestad +2 more
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