Gazeau-Klauder coherent states in one-mode systems with periodic potential

J. M.  Hollingworth; ANASTASIA KONSTANTOPOULOU; S. Chountasis; A.  Vourdas; N. B. Backhouse

Gazeau-Klauder coherent states in one-mode systems with periodic potential

J. M. Hollingworth, ANASTASIA KONSTANTOPOULOU, S. Chountasis, A. Vourdas, N. B. Backhouse

University of Liverpool

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

11 Citations (Scopus)

Abstract

Gazeau-Klauder coherent states for a one-mode system with sinusoidal potential, are introduced. Their quantum statistical properties and their uncertainties are studied. The effect of dissipation on these states is estimated. The evolution of the ordinary (Glauber) coherent states in this system, is also studied. It is shown that these states evolve into superpositions of many macroscopically distinguishable states (`multi-Schrödinger cats').

Original language	English
Pages (from-to)	9463
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	34
Issue number	44
Publication status	Published - 26 Oct 2001
Externally published	Yes

Keywords

coherent states
one-mode systems
dissipation

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https://iopscience.iop.org/article/10.1088/0305-4470/34/44/308/meta

Cite this

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title = "Gazeau-Klauder coherent states in one-mode systems with periodic potential",

abstract = "Gazeau-Klauder coherent states for a one-mode system with sinusoidal potential, are introduced. Their quantum statistical properties and their uncertainties are studied. The effect of dissipation on these states is estimated. The evolution of the ordinary (Glauber) coherent states in this system, is also studied. It is shown that these states evolve into superpositions of many macroscopically distinguishable states (`multi-Schr{\"o}dinger cats').",

keywords = "coherent states, one-mode systems, dissipation",

author = "Hollingworth, {J. M.} and ANASTASIA KONSTANTOPOULOU and S. Chountasis and A. Vourdas and Backhouse, {N. B.}",

year = "2001",

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language = "English",

volume = "34",

pages = "9463",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "44",

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T1 - Gazeau-Klauder coherent states in one-mode systems with periodic potential

AU - Hollingworth, J. M.

AU - KONSTANTOPOULOU, ANASTASIA

AU - Chountasis, S.

AU - Vourdas, A.

AU - Backhouse, N. B.

PY - 2001/10/26

Y1 - 2001/10/26

N2 - Gazeau-Klauder coherent states for a one-mode system with sinusoidal potential, are introduced. Their quantum statistical properties and their uncertainties are studied. The effect of dissipation on these states is estimated. The evolution of the ordinary (Glauber) coherent states in this system, is also studied. It is shown that these states evolve into superpositions of many macroscopically distinguishable states (`multi-Schrödinger cats').

AB - Gazeau-Klauder coherent states for a one-mode system with sinusoidal potential, are introduced. Their quantum statistical properties and their uncertainties are studied. The effect of dissipation on these states is estimated. The evolution of the ordinary (Glauber) coherent states in this system, is also studied. It is shown that these states evolve into superpositions of many macroscopically distinguishable states (`multi-Schrödinger cats').

KW - coherent states

KW - one-mode systems

KW - dissipation

M3 - Article (journal)

SN - 1751-8113

VL - 34

SP - 9463

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 44

ER -

Gazeau-Klauder coherent states in one-mode systems with periodic potential

Abstract

Keywords

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