The open XY model

John Gough

doi:10.1142/S0219025704001657

The open XY model

John Gough^*

^*Awdur cyfatebol y gwaith hwn

Adran Ffiseg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

1 Dyfyniad (Scopus)

Crynodeb

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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	473-483
Nifer y tudalennau	11
Cyfnodolyn	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Cyfrol	7
Rhif cyhoeddi	3
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1142/S0219025704001657
Statws	Cyhoeddwyd - Medi 2004

Mynediad at Ddogfen

10.1142/S0219025704001657

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Dolen barhaus

Ffeiliau eraill a chysylltiadau

Dolen i’r cyhoeddiad yn Scopus

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title = "The open XY model",

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.",

keywords = "Open systems, Quantum central limits, Quasi-spin dynamics",

author = "John Gough",

year = "2004",

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doi = "10.1142/S0219025704001657",

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N2 - 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.

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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U2 - 10.1142/S0219025704001657

DO - 10.1142/S0219025704001657

M3 - Article

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EP - 483

JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics

JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics

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The open XY model

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