The open XY model

John Gough

doi:10.1142/S0219025704001657

The open XY model

John Gough^*

^*Corresponding author for this work

Department of Physics

Institute of Mathematics and Computer Science
Nottingham Trent University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Using the weak coupling limit as a quantum functional central limit (in the sense of Accardi, Frigerio and Lu), we give a quantum Markovian description of the open XY-model, followed by the large-N limit. The treatment is noteworthy for the fact that the harmonic decomposition of the stochastic dynamics is not that of the free evolution, but rather arises from the macroscopic variables being studied. We conclude with a simple Hilbert module formulation of the dynamics.

Original language	English
Pages (from-to)	473-483
Number of pages	11
Journal	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume	7
Issue number	3
DOIs	https://doi.org/10.1142/S0219025704001657
Publication status	Published - Sept 2004

Keywords

Open systems
Quantum central limits
Quasi-spin dynamics

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abstract = "Using the weak coupling limit as a quantum functional central limit (in the sense of Accardi, Frigerio and Lu), we give a quantum Markovian description of the open XY-model, followed by the large-N limit. The treatment is noteworthy for the fact that the harmonic decomposition of the stochastic dynamics is not that of the free evolution, but rather arises from the macroscopic variables being studied. We conclude with a simple Hilbert module formulation of the dynamics.",

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AB - Using the weak coupling limit as a quantum functional central limit (in the sense of Accardi, Frigerio and Lu), we give a quantum Markovian description of the open XY-model, followed by the large-N limit. The treatment is noteworthy for the fact that the harmonic decomposition of the stochastic dynamics is not that of the free evolution, but rather arises from the macroscopic variables being studied. We conclude with a simple Hilbert module formulation of the dynamics.

KW - Open systems

KW - Quantum central limits

KW - Quasi-spin dynamics

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DO - 10.1142/S0219025704001657

M3 - Article

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JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics

IS - 3

ER -

The open XY model

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