Quantum Multipole Noise and Generalized Quantum Stochastic Equations
arXiv:math-ph/0202046 · doi:10.1142/S0219025702000857
Abstract
A notion of quantum multipole (in particular, dipole) noise is considered. Quantum dipole noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum {\it white} noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum {\it multipole} noise describes the corrections to the leading term. We obtain and study the generalized quantum stochastic equations describing corrections to the stochastic limit which include quantum dipole noise.
Replaced with version published in IDAQP. Terminology is changed
References in corpus (2)
Cited by in corpus (15)
- Perturbative treatment of inter-site couplings in the local description of open quantum networks
- Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
- Time Irreversibility Problem and Functional Formulation of Classical Mechanics
- Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit
- Randomness in Classical Mechanics and Quantum Mechanics
- Derivation of the Redfield quantum master equation and corrections to it by the Bogoliubov method
- Quantum master equations for a system interacting with quantum gas in the low density limit and for the semiclassical collision model
- Exact solution of the Schrodinger equation with the spin-boson Hamiltonian
- Long-time Markovianity of multi-level systems in the rotating wave approximation
- Quantum multipole noise
- Parametric approximation as open quantum systems problem
- On optimization of coherent and incoherent controls for two-level quantum systems
- The Strong Law of Large Numbers for random semigroups on uniformly smooth Banach spaces
- Weak coupling limit for quantum systems with unbounded weakly commuting system operators
- Long-time behavior of multi-level open systems interacting with non-vacuum reservoirs