THE ASYMMETRIC EXCLUSION QUANTUM MARKOV SEMIGROUP
THE ASYMMETRIC EXCLUSION QUANTUM MARKOV SEMIGROUP
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DOI：
10.1142/s0219025709003781
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发表时间：
2009-09
期刊：
影响因子：
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通讯作者：
Leopoldo Pantaleón-Martínez;R. Quezada
中科院分区：
文献类型：
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作者：
Leopoldo Pantaleón-Martínez;R. Quezada
本文研究了一类量子马尔可夫半群，其对交换子代数的限制在有限支撑的构形上与Liggett在指标点r的汇率不对称的排斥型半群重合，得到了该半群存在无限多忠实对角线(或经典)不变态的充分条件，且满足一个量子详细平衡条件.这类半群是在Accardi和Kozyrev1意义下的量子相互作用粒子的随机极限中自然产生的。我们称这些半群为非对称排斥量子马尔可夫半群及其相关过程。
In this paper we study a class of quantum Markov semigroups whose restriction to an abelian sub-algebra coincides, on the configurations with finite support, with the exclusion type semigroups introduced in Liggett's book14 of exchange rates $a_{rs}^{\pm}$ not symmetric in the index site r, s. We find a sufficient condition for the existence of infinitely many faithful diagonal (or classical) invariant states for the semigroup, that satisfy a quantum detailed balance condition. This class of semigroups arises naturally in the stochastic limit of quantum interacting particles in the sense of Accardi and Kozyrev.1 We call these semigroups asymmetric exclusion quantum Markov semigroups and the associated processes asymmetric exclusion quantum processes.