The weak coupling limit as a quantum functional central limit
نویسندگان
چکیده
منابع مشابه
Weak-Coupling Limit. II On the Quantum Fokker-Planck Equation
In a recent work we have found a contraction semigroup able to correctly approximate a projected and perturbed one-parameter group of isometries in a generic Banach space, in the limit of weak-coupling. Here we study its generator by specializing toW ∗-algebras: after defining a Physical Subsystem in terms of a completely positive projecting conditional expectation, we find that it generates a ...
متن کاملThe Weak-Coupling Limit of 3D Simplicial Quantum Gravity
We investigate the weak-coupling limit, κ → ∞, of 3D simplicial gravity using Monte Carlo simulations and a Strong Coupling Expansion. With a suitable modification of the measure we observe a transition from a branched polymer to a crinkled phase. However, the intrinsic geometry of the latter appears similar to that of non-generic branched polymer, probable excluding the existence of a sensible...
متن کاملThe Weak-Coupling Limit of Simplicial Quantum Gravity
In the weak-coupling limit, κ0 → ∞, the partition function of simplicial quantum gravity is dominated by an ensemble of triangulations with the ratio N0/ND close to the upper kinematic limit. For a combinatorial triangulation of the D–sphere this limit is 1/D. Defining an ensemble of maximal triangulations, i.e. triangulations that have the maximal possible number of vertices for a given volume...
متن کاملQuantum Markovian Approximation as a Quantum Central Limit
We formulate the problem of Markovian approximations for the action of a Bose quantum field reservoir R on a quantum mechanical system S as a functional quantum central limit theory. In particular, we study the effect of the time-dependent interaction Υ (λ) t = E11 ⊗ a + t (λ)a − t (λ) +E10⊗ a + t (λ)+E01⊗ a − t (λ) +E00⊗ 1 + R on the joint states space hS ⊗ hR where the a±t (λ) are approximati...
متن کاملA Functional Central Limit Theorem for The
In this paper, we present a functional fluid limit theorem and a functional central limit theorem for a queue with an infinity of servers M/GI/∞. The system is represented by a point-measure valued process keeping track of the remaining processing times of the customers in service. The convergence in law of a sequence of such processes after rescaling is proved by compactness-uniqueness methods...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1990
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02098275