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Path-integral formulation of bosonic Markovian open quantum dynamics with Monte Carlo stochastic trajectories using the Glauber–Sudarshan P, Wigner, and Husimi Q functions and hybrids

Annals of Physics
The Monte Carlo (MC) trajectory sampling of stochastic differential equations (SDEs) based on the quasiprobabilities, such as the Glauber-Sudarshan P, Wigner, and Husimi Q functions, enables us to investigate bosonic open quantum many-body dynamics ...
Toma Yoneya   +2 more
semanticscholar   +1 more source

Quantum stochastic thermodynamics in the mesoscopic-leads formulation.

Physical Review E
We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response regime.
Laetitia P. Bettmann   +4 more
semanticscholar   +1 more source

On Noveley Inequalities for Convex Stochastic Processes on Time Scale Utilizing Quantum Operators

Analysis in Theory and Applications
We aim to present a innovation extension of the mean-square stochastic integral of a process on time scale based on a q-operator and fractional q-operator.
Azizollah Babakhani and Rosineide F. da Paz
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A spectral approach to quantum stochastic integrals

Reports on Mathematical Physics, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berezanskij, Yu. M.   +2 more
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Quantum Stochastic Integrals

1984
There have been many attempts to set up quantum analogues of the theory of stochastic processes and stochastic differential equations. I should mention the many papers of M. Lax [1] on “quantum noise”, and those of Senitzky [2]; these were inspired by the problem of describing a laser, and by quantum electronics.
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Causal structure of quantum stochastic integrators

Theoretical and Mathematical Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Efficient Integrator Scheme for Sampling the (Quantum) Isobaric-Isothermal Ensemble in (Path Integral) Molecular Dynamics Simulations.

Journal of Chemical Theory and Computation
Because most chemical or biological experiments are performed under conditions of controlled pressure and temperature, it is important to simulate the isobaric-isothermal ensemble at the atomic level to reveal the microscopic mechanism.
Weihao Liang   +7 more
semanticscholar   +1 more source

Anticipating quantum stochastic integrals

Infinite Dimensional Analysis, Quantum Probability and Related Topics
Based on the quantum white noise theory, we formulate new types of anticipating quantum stochastic integrals by combining the Hitsuda–Skorokhod quantum stochastic integrals and the interactions between the integrands and the integrators. For our purpose, we prove various versions of analytic characterization theorems of symbols of white noise ...
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Path-integral formulation of truncated Wigner approximation for bosonic Markovian open quantum systems

Annals of Physics
The truncated Wigner approximation (TWA) enables us to investigate bosonic quantum many-body dynamics, including open quantum systems described by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation.
Toma Yoneya   +2 more
semanticscholar   +1 more source

Quasi-free quantum stochastic integrals in the plane

Reports on Mathematical Physics, 2002
In the classical theory of stochastic integration, Wong and Zakai followed by Cairoli and Walsh, developed a calculus for two-parameter martingales in the seventies. Here, the authors provide quantum analogues of that kind of integrals and calculus, involving two-parameter processes like quasi-free boson or fermion creation and annihilation.
Spring, W. J., Wilde, I. F.
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