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
Gibbs measures with double stochastic integrals on a path space [PDF]
, 2007 We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic ...
Betz, Volker, Hiroshima, Fumio
core +4 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
Transient fluctuation relations for time-dependent particle transport [PDF]
, 2010 We consider particle transport under the influence of time-varying driving forces, where fluctuation relations connect the statistics of pairs of time reversed evolutions of physical observables.
Altland, A. +3 more
core +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 exclusion processes versus coherent transport [PDF]
, 2010 Stochastic exclusion processes play an integral role in the physics of non-equilibrium statistical mechanics. These models are Markovian processes, described by a classical master equation.
Augusiak R +12 more
core +3 more sources
Advanced Stochastic Approaches for Fredholm Integral Equations
Journal of Physics: Conference Series, 2023 Integral equations are of high applicability in different areas of applied mathematics, physics, engineering, geophysics, electricity and magnetism, kinetic theory of gases, quantum mechanics, mathematical economics, and queuing theory. That is why it is
V. Todorov, S. Georgiev
semanticscholar +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