منابع مشابه
Rotationally Invariant Multipartite States
We construct a class of multipartite states possessing rotational SO(3) symmetry – these are states of K spin-jA particles and K spin-jB particles. The construction of symmetric states follows our two recent papers devoted to unitary and orthogonal multipartite symmetry. We study basic properties of multipartite SO(3) symmetric states: separability criteria and multi-PPT conditions.
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We extend the theory of diieomorphism-invariant spin network states from the real-analytic category to the smooth category. Suppose that G is a compact connected semisimple Lie group and P ! M is a smooth principal G-bundle. A `cylinder function' on the space of smooth connections on P is a continuous complex function of the holonomies along nitely many piecewise smoothly immersed curves in M. ...
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We study how the geometry of spin glass states changes under redefinitions of the metric. We show that in mean field theory the property of ultrametricity is robust. We present numerical evidence suggesting that in the more realistic D = 2 and D = 3 spin glass models a stronger result may hold, namely that the choice of metric is to a large extent unique. Submitted to Physical Review Letters * ...
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We study systems of classical point particles in d-dimensional Eu-clidean space. Using a result of O. Kallenberg we prove that probability measures , which (i) are translation-invariant, (ii) are stationary under the ideal gas dynamics, (iii) have a nite number of particles, energy, and entropy per unit volume, are in fact a convex combination of Poisson measures.
متن کاملEntangling power of permutation-invariant quantum states
We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the entanglement entropy of n sites in a system of length L generically grows as log2 2 en L−n /L +C, where is the on-site spin and C is a function depending only on m...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1971-0281013-6