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Stochastic Path-Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator [PDF]

PRX Quantum, 2022
We consider the evolution of a quantum simple harmonic oscillator in a general Gaussian state under simultaneous time-continuous weak position and momentum measurements.
Tathagata Karmakar, Philippe Lewalle, Andrew N. Jordan   +2 more
doaj   +7 more sources

Stochastic path integral formalism for continuous quantum measurement [PDF]

Physical Review A, 2015
We generalize and extend the stochastic path integral formalism and action principle for continuous quantum measurement introduced in [A. Chantasri, J. Dressel and A. N. Jordan, Phys. Rev.
Chantasri, Areeya, Jordan, Andrew N.
core   +9 more sources

Stochastic integral representation theorem for quantum semimartingales

Journal of Functional Analysis, 2003
The quantum stochastic integral of Itô type formulated by \textit{R. L. Hudson} and \textit{K. R. Parthasarathy} [Commun. Math. Phys. 93, 301--323 (1984; Zbl 0546.60058)] is extended to a wide class of adapted quantum stochastic processes on Boson Fock space.
U. Ji
semanticscholar   +4 more sources

Kajian Integral Lintasan Levy dalam Mekanika Kuantum Fraksional untuk Membentuk Persamaan Schrodinger Fraksional [PDF]

Risenologi, 2020
The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
doaj   +2 more sources

The Stochastic-Quantum Correspondence

Philosophy of Physics, 2023
This paper argues that every quantum system can be understood as a sufficiently general kind of stochastic process unfolding in an old-fashioned configuration space according to ordinary notions of probability.
Jacob A. Barandes
doaj   +2 more sources

Piecewise ensemble averaging stochastic Liouville equations for simulating non-Markovian quantum dynamics

New Journal of Physics, 2022
Here we present a novel stochastic Liouville equation with piecewisely correlated noises, in which the inter-piece correlation is rigorously incorporated by a convolution integral involving functional derivatives.
Yun-An Yan, Xiao Zheng, Jiushu Shao
doaj   +2 more sources

Malliavin Calculus and Skorohod Integration for Quantum Stochastic Processes [PDF]

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2000
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 $\eufrak{h}$ and it is shown that they satisfy similar properties as the ...
Belavkin V. P., RENÉ SCHOTT, RÉMI LÉANDRE, UWE FRANZ   +3 more
core   +3 more sources

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
doaj   +3 more sources

Motion of Quantum Particles in Terms of Probabilities of Paths [PDF]

Entropy
The Feynman path integral formalism for non-relativistic quantum mechanics is revisited. A comparison is made with cases of light propagation (Huygens’ principle) and Brownian motion. The difficulties for a physical model applying Feynman’s formalism are
Emilio Santos
doaj   +2 more sources

Analytical phase boundary of a quantum driven-dissipative Kerr oscillator from classical stochastic instantons

Physical Review Research
The framework of Keldysh path integral concisely describes quantum systems driven away from thermal equilibrium, such as the two-photon driven Kerr oscillator.
Théo Sépulcre
doaj   +2 more sources