Convexity of momentum map, Morse index, and quantum entanglement

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convexity of multi-valued momentum map

Given a Hamiltonian torus action the image of the momentum map is a convex polytope; this famous convexity theorem of Atiyah, Guillemin and Sternberg still holds when the action is not required to be Hamiltonian. Our generalization of the convexity theorem states that, given a symplectic torus action, the momentum map can be defined on an appropriate covering of the manifold and has as image a ...

متن کامل

Voltage-Controlled Entanglement between Quantum- Dot Molecule and its Spontaneous Emission Fields via Quantum Entropy

The time evolution of the quantum entropy in a coherently driven threelevel quantum dot (QD) molecule is investigated. The entanglement of quantum dot molecule and its spontaneous emission field is coherently controlled by the gat voltage and the intensity of applied field. It is shown that the degree of entanglement between a three-level quantum dot molecule and its spontaneous emission fields...

متن کامل

Convexity of Morse Stratifications and Gradient Spines of 3-manifolds

We notice that a generic nonsingular gradient field v = ∇f on a compact 3-fold X with boundary canonically generates a simple spine K(f, v) of X. We study the transformations of K(f, v) that are induced by deformations of the data (f, v). We link the Matveev complexity c(X) of X with counting the double-tangent trajectories of the v-flow, i.e. the trajectories that are tangent to the boundary ∂...

متن کامل

Convexity of Morse Stratifications and Spines of 3-manifolds

The gradient fields v of nonsingular functions f on compact 3folds X with boundary are used to generate their spines K(f, v). We study the transformations of K(f, v) that are induced by deformations of the data (f, v). We link the Matveev complexity of c(X) with counting the trajectories of the v-flow that are tangent to the boundary ∂X at a pair of distinct points (call them double-tangent tra...

متن کامل

Openness and Convexity for Momentum Maps

The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of a topological nature; more specifically, we show that convexity follows if the map is open onto its image and has the so-called local convexity data property. These conditions are satisfied in all the classical convexity theorems and hence they can, in ...

متن کامل

ذخیره 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: Reviews in Mathematical Physics

سال: 2014

ISSN: 0129-055X,1793-6659

DOI: 10.1142/s0129055x14500044