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Algebraic theory of product integrals in quantum stochastic calculus

Journal of Mathematical Physics, 2000
Motivated by the search for solutions of the quantum Yang–Baxter equation, an algebraic theory of quantum stochastic product integrals is developed. The product integrators are formal power series in an indeterminate h whose coefficients are elements of the Lie algebra ℒ labelling the usual integrators of a many-dimensional quantum stochastic calculus.
Hudson, R. L., Pulmannová, S.
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Stochastic Integration and Quantum Ito’s Formula

1992
In Section 21 we have already seen how the classical stochastic processes with independent increments can be realised as suitable linear combinations of the creation, conservation and annihilation operators in the boson Fock space Γs (ℋ) over a Hilbert space ℋ. This includes, in particular, the Brownian motion and Poisson process.
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The stochastic action integral interpretation of the quantum-mechanical transformation function

Lettere Al Nuovo Cimento Series 2, 1980
F~,Y~MAN (i) originally noted the interesting result that, for quadratic actions, an average over all paths between fixed endpoints of the transition led to a separation of the quantum-mechanical transformation function into two factors. One factor depends upon the time interval of transition and the fixed endpoints, while the other factor is dependent
SANTAMATO, ENRICO, B. H. LAVENDA
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Quantum Stochastic Processes and Quantum non-Markovian Phenomena

PRX Quantum, 2021
Simon Milz, Kavan Modi
exaly

Progress on stochastic analytic continuation of quantum Monte Carlo data

Physics Reports, 2023
Anders W Sandvik
exaly

Stochastic path integrals and open quantum systems

Physical Review A, 1996
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Dynamics of non-Markovian open quantum systems

Reviews of Modern Physics, 2017
Ines de Vega, Daniel Alonso
exaly

Efficient stochastic thermostatting of path integral molecular dynamics

Journal of Chemical Physics, 2010
Michele Ceriotti, Michele Parrinello, Thomas E Markland +2 more
exaly

Förster resonance energy transfer, absorption and emission spectra in multichromophoric systems. III. Exact stochastic path integral evaluation

Journal of Chemical Physics, 2015
Jianshu Cao
exaly