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Chapter and Conference Paper
Mandel’s Q-parameters for the outcoming atom statistics of a micromaser
We have studied the statistics of the atoms emerging from the cavity of a micromaser in a dynamical discrete-time ‘stroboscopic’ description which takes into account the measurements made, in general with impe...
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Chapter and Conference Paper
Quantum solitons as possible qubits
In a recent article [1] Izo Abram, of the Centre National d’Etudes des Télécommunlcations (CNET), Bagneux, France suggested that quantum solitons in optical fibres could both be ‘squeezed’ below the short noise l...
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Chapter and Conference Paper
Finite temperature correlations in the trapped Bose-Einstein gas
There is a large literature (cf. eg. [1, 2]) which, under conditions of translational invariance, has used functional integral methods to calculate, ab initio, the equilibrium finite temperature 2-point correlati...
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Article
Quantum Integrable and Nonintegrable Nonlinear Schrödinger Models for Realizable Bose–Einstein Condensation in d+1 Dimensions (d = 1, 2, 3)
We evaluate finite-temperature equilibrium correlators $$\langle T_\tau \hat \psi ({\text{r}}_{\text{1}} )\hat \psi ^\dag ({\text{r...
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Article
Bistable behaviour in squeezed vacua: II. Stability analysis and chaos
Linear stability analysis and (numerical) investigation of the periodic and chaotic self-pulsing behaviour are presented for the Maxwell-Bloch equations of a bistable model in contact with a squeezed vacuum fi...
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Article
Bistable behaviour in squeezed vacua: I. Stationary analysis
A time-independent theoretical and numerical analysis of an optical bistable model of two-level atoms in a ring cavity, driven by a coherent field and in contact with a squeezed vacuum field is presented in th...
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Article
Quantum integrability and quantum chaos in the micromaser
The time-dependent quantum Hamiltonians $$\hat H\left( t \right) = \left\{ {\begin{array}{*{20}c} {\hat H,t_i< t< t_i + t_{int} } ...
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Article
Open AccessGraded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
By starting from known graded Lie algebras, including Virasoro algebras, new kinds of time-dependent evolution equations are found possessing graded symmetry algebras. The modified KP equations are taken as an...
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Chapter and Conference Paper
Local Field Corrections, Frequency Shifts and Generalised A-Coefficients in Dielectrics
From a fundamental but linearised quantum theory we have developed a theory of optical dielectrics for a molecular fluidt1,2,3 which takes into account n-body inter-molecular correlation to all orders n. We show2
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Chapter and Conference Paper
Exact Trap** State Dynamics for the 85Rb Atom Micromaser at Very High Q and/or Very Low T
From single 2-level atom single mode theory in an ideal cavity (Q = ∞) P n (N), the probability of n photons in the cavity node after N inverted 2-level atoms have passed through the cavity sati...
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Chapter and Conference Paper
Exact Solution of Quantum Optical Models by Algebraic Bethe Ansatz Methods
From long standing interests in solitons and integrable systems, e.g. SIT (1968– 74)1,2, “optical solitons” CQ04 (1977)3, we solve exactly, by algebraic Bettie ansatz (= quantum inverse) methods4, models of impor...
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Article
Open AccessSymmetries of the Classical Integrable Systems and 2-Dimensional Quantum Gravity: a ‘Map’
We draw attention to the connections recently established by others between the classical integrable KdV and KP hierarchies in 1 + 1 and 2 + 1 dimensions respectively and the matrix models which relate to the ...
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Article
Solitons and the Korteweg-de Vries equation: Integrable systems in 1834–1995
We trace the connections back from the paper by D. J. Korteweg and G. de Vries of 1895 to the sequence of events which began in August 1834 when J. S. Russell observed the soliton and so explain why KdV's pape...
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Article
Book reviews
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Chapter
Nonclassical Fields in One-Photon Micromaser Action
This paper is concerned with the open system formed by the one 85 Rb atom micromaser as it is currently in operation 1, and with the strictly quantum fields which can be created inside its maser cav...
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Chapter
Generalized Dispersion Relations for Dielectrics in Squeezed Vacua
Substantially squeezed radiation fields are now available in a number of laboratories, and this offers an opportunity for studying the response of various physical systems to such nonclassical states of the elect...
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Chapter
Solitons and the Korteweg—de Vries Equation: Integrable Systems in 1834–1995
We trace the connections back from the paper by D. J. Korteweg and G. de Vries of 1895 to the sequence of events which began in August 1834 when J. S. Russell observed the soliton and so explain why KdV’s pape...
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Article
N-Soliton-type solutions of the self-dual Yang-Mills equations inM 4
We have investigated by computer in the caseN=2 the dynamics of anN-soliton type (N-monopole-type) solution of the self-dual Yang-Mills equations in Minkowski space-timeM 4 found previously. Even forN=2 this solu...
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Chapter
Instabilities in Nonlinear Dynamics: Paradigms for Self-Organization
This paper is concerned with aspects of nonlinear dynamics which may (but indeed may not) have bearing on our ultimate understanding of living matter. It is concerned with dynamical self-organization as well as w...
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Chapter
Cavity Quantum Electrodynamics: Fundamental Theory of the Micromaser
The paper given to the meeting in Hyderabad, January 2–8, under the present title was followed by a closely related one to the NATO ARW at Cortina, January 20–25, 1991 now published.1 Circumstances have delaye...
