Results 41 to 50 of about 72,880 (178)

Series of iterated quantum stochastic integrals [PDF]

, 2000
We consider series of iterated non-commutative stochastic integrals of scalar operators on the boson Fock space. We give a sufficient condition for these series to converge and to define a reasonable operator. An application of this criterion gives a condition for the convergence of some formal series of generalized integrator processes such as ...
Stéphane Attal, Robin L. Hudson
openaire   +1 more source

Multiple Q-Adapted Integrals and Ito Formula of Noncommutative Stochastic Calculus in Fock Space

, 2011
We study the continuity property of multiple Q-adapted quantum stochastic integrals with respect to noncommuting integrands given by the non-adapted multiple integral kernels in Fock scale. The noncommutative algebra of relatively (exponentially) bounded
Belavkin, Viacheslav P., Brown, Matthew F.   +1 more
core   +1 more source

Functional Formulation of Quantum Theory of a Scalar Field in a Metric with Lorentzian and Euclidean Signatures

Entropy
We study the Schrödinger equation in quantum field theory (QFT) in its functional formulation. In this approach, quantum correlation functions can be expressed as classical expectation values over (complex) stochastic processes.
Zbigniew Haba
doaj   +1 more source

Chaotic states and stochastic integration in quantum systems [PDF]

Russian Mathematical Surveys, 1992
Quantum chaotic states over a noncommutative monoid, a unitalization of a noncommutative Ito algebra parametrizing a quantum stochastic Levy process, are described in terms of their infinitely divisible generating functionals over the monoid-valued processes on an atomless `space-time' set.
openaire   +3 more sources

Dynamics of a Simple Quantum System in a Complex Environment [PDF]

, 1997
We present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective stochastic ...
A. B. Balantekin, A. Bulgac, A. Bulgac, A. Bulgac, A. Bulgac, A. J. Leggett, A. O. Caldeira, A. O. Caldeira, A. O. Caldeira, A. O. Caldeira, Aurel Bulgac, C. W. Gardiner, D. Cohen, D. Cohen, D. Kusnezov, D. M. Brink, Dimitri Kusnezov, F. M. Izrailev, G. B. Whitham, G. Casati, G. Casati, G. Lindblad, G. W. Ford, G. W. Ford, G. W. Ford, Giu Do Dang, H. Grabert, H. Hofmann, H. Risken, J. Ankerhold, J. Marcienkiewicz, K. Hagino, L. Diosi, L. Diosi, M. L. Mehta, N. V. Prokofiev, P. Fröbrich, P. Hängi, P. Pechukas, R. P. Feynman, R. P. Feynman, U. Weiss, Y. Abe, Y. Tanimura   +43 more
core   +2 more sources

Quantizing Yang-Mills Theory: From Parisi-Wu Stochastic Quantization to a Global Path Integral

, 1999
Based on a generalization of the stochastic quantization scheme we recently proposed a generalized, globally defined Faddeev-Popov path integral density for the quantization of Yang-Mills theory.
Arnaudon, Asorey, Belopolskaya, Damgaard, Faddeev, Gerald Kelnhofer, Gribov, Helmuth Hüffel, Hüffel, Hüffel, Mitter, Namiki, Parisi, Stora, Stora, Zwanziger   +15 more
core   +1 more source

Preparing a mechanical oscillator in non-Gaussian quantum states [PDF]

, 2010
We propose a protocol for coherently transferring non-Gaussian quantum states from optical field to a mechanical oscillator. The open quantum dynamics and continuous-measurement process, which can not be treated by the stochastic-master-equation ...
C. Gardiner, C. K. Law, Farid Khalili, Haixing Miao, Helge Müller-Ebhardt, Huan Yang, J. S. Bell, Stefan Danilishin, V. B. Braginsky, Yanbei Chen   +9 more
core   +3 more sources

Unraveling looping efficiency of stochastic Cosserat polymers

Physical Review Research, 2022
Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry.
Giulio Corazza, Raushan Singh
doaj   +1 more source

Monte Carlo Simulation of Quantum Computation [PDF]

, 1997
The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields by use of the Hubbard-Stratonovich representation of two-bit quantum gates in terms of one-bit gates.
Cerf, N. J., Koonin, S. E.
core   +3 more sources

CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems [PDF]

Quantum
The Chantasri-Dressel-Jordan (CDJ) stochastic path integral formalism (Chantasri et al. 2013 and 2015) characterizes the statistics of the readouts and the most likely conditional evolution of continuously monitored quantum systems involving a few qubits
Tathagata Karmakar, Andrew N. Jordan
doaj   +1 more source