Results 11 to 20 of about 3,349 (249)
The weak field limit of quantum matter back-reacting on classical spacetime
Journal of High Energy Physics, 2023 Consistent coupling of quantum and classical degrees of freedom exists so long as there is both diffusion of the classical degrees of freedom and decoherence of the quantum system.
Isaac Layton +3 more
doaj +1 more source
Probability Calculations Within Stochastic Electrodynamics
Frontiers in Physics, 2021 Several stochastic situations in stochastic electrodynamics (SED) are analytically calculated from first principles. These situations include probability density functions, as well as correlation functions at multiple points of time and space, for the ...
Daniel C. Cole
doaj +1 more source
Intrinsic Dimension of Path Integrals: Data-Mining Quantum Criticality and Emergent Simplicity
PRX Quantum, 2021 Quantum many-body systems are characterized by patterns of correlations defining highly nontrivial manifolds when interpreted as data structures. Physical properties of phases and phase transitions are typically retrieved via correlation functions, that ...
T. Mendes-Santos +4 more
doaj +1 more source
State-dependent graviton noise in the equation of geodesic deviation
European Physical Journal C: Particles and Fields, 2021 We consider an equation of the geodesic deviation appearing in the problem of gravitational wave detection in an environment of gravitons. We investigate a state-dependent graviton noise (as discussed in a recent paper by Parikh,Wilczek and Zahariade ...
Z. Haba
doaj +1 more source
MALLIAVIN CALCULUS AND SKOROHOD INTEGRATION FOR QUANTUM STOCHASTIC PROCESSES [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001 A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space [Formula: see text] and it is shown that they satisfy similar properties as the derivation and divergence operator on the Wiener space over [Formula: see text].
Franz, Uwe, Leandre, Remi, Schott, Rene
openaire +3 more sources
Quantum Stochastic Integrals as Operators [PDF]
International Journal of Theoretical Physics, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra. In the case of a finite algebra we allow the integrator to be an $L^2$--martingale in which case the integrals are $L^
openaire +2 more sources
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
doaj +1 more source
Stochastic analysis & discrete quantum systems
Nuclear Physics B, 2019 We explore the connections between the theories of stochastic analysis and discrete quantum mechanical systems. Naturally these connections include the Feynman-Kac formula, and the Cameron-Martin-Girsanov theorem.
Anastasia Doikou +2 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source