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Classical and quantum stochastic thermodynamics [PDF]
Revista Brasileira de Ensino de Física, 2020 The stochastic thermodynamics provides a framework for the description of systems that are out of thermodynamic equilibrium. It is based on the assumption that the elementary constituents are acted by random forces that generate a stochastic dynamics ...
Mário J. de Oliveira
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Connecting Two Stochastic Theories That Lead to Quantum Mechanics
Frontiers in Physics, 2020 The connection is established between two theories that have developed independently with the aim to describe quantum mechanics as a stochastic process, namely stochastic quantum mechanics (sqm) and stochastic electrodynamics (sed).
Luis de la Peña +2 more
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Time-Slicing Path-integral in Curved Space [PDF]
Quantum, 2022 Path integrals constitute powerful representations for both quantum and stochastic dynamics. Yet despite many decades of intensive studies, there is no consensus on how to formulate them for dynamics in curved space, or how to make them covariant with ...
Mingnan Ding, Xiangjun Xing
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Time evolution with symmetric stochastic action
Physical Review Research, 2021 The time evolution of quantum fields is shown to be equivalent to a time-symmetric Fokker-Planck equation. Results are obtained using a Q-function representation, including fermion-fermion, boson-boson, and fermion-boson interactions with linear ...
Peter D. Drummond
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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
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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
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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
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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
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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 +2 more
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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^
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