Non-unitary evolutions of noncommutative worlds with symmetry
Non-unitary evolutions of noncommutative worlds with symmetry
复制标题
具有对称性的非交换世界的非酉演化
DOI：
10.1088/1126-6708/2004/01/016
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发表时间：
2003
影响因子：
5.4
通讯作者：
N. Sasakura
中科院分区：
文献类型：
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作者：
N. Sasakura
出于描述非交换世界的时间演化的动机，我讨论了有限维表示空间的非交换世界的保序演化。在这种演化中，一个有趣的问题是，对称的表示空间可能会发生转变，因此演化通常是非酉的或违反对称性的。本文的中心思想是，一个主世界的发展，通过发射婴儿世界，补偿违反对称性的主世界。通过追踪婴儿世界的状态，得到了主世界密度矩阵的对称性演化。我给出了一个简单的SU（2）对称性的例子，它可以被看作是一个演化的量子双球。这个简单的模型有一些类似于我们宇宙的吸引人的特征：它从真空中诞生，其几何起源的熵增长。本文还讨论了海森堡图象中的演化。
Motivated by describing time-evolutions of noncommutative worlds, I discuss symmetry-preserving evolutions of noncommutative worlds of finite dimensional representation spaces. An interesting issue in such evolutions is that there can be transitions of representation spaces of symmetry, and therefore the evolutions are generally non-unitary or symmetry-violating. The central idea of this paper is that a main world evolves by emitting baby worlds which compensate the violations of the symmetry of the main world. Tracing out the states of the baby worlds, the symmetry-preserving evolutions of the density matrices of the main world are obtained. I give a simple example with SU(2) symmetry, which can be regarded as an evolving quantum two-sphere. This simple model has some attractive features resembling our universe: it gets born from a vacuum and its entropy of geometric origin grows. I also discuss the evolutions in Heisenberg picture.
影响因子：
--
作者：
T. Yoneya
通讯作者：
T. Yoneya