Quantum and semiclassical steady states of a kicked cavity mode

Filipowicz, P.; Javanainen, Juha; Meystre, Pierre

doi:10.1364/josab.3.000906

Cited by 220 publications

(67 citation statements)

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“…We derive the classical equations of motion by taking the expectation value of the Heisenberg equations of motion (see, for example, [21]). Between kicks each system evolves separately as…”

Section: A Semi-classical Dynamicsmentioning

confidence: 99%

Quantum and classical chaos in kicked coupled Jaynes-Cummings cavities

Hayward

Greentree

2010

Phys. Rev. A

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We consider two Jaynes-Cummings cavities coupled periodically with a photon hopping term. The semi-classical phase space is chaotic, with regions of stability over some ranges of the parameters. The quantum case exhibits dynamic localization and dynamic tunneling between classically forbidden regions. We explore the correspondence between the classical and quantum phase space and propose an implementation in a circuit QED system.

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“…We derive the classical equations of motion by taking the expectation value of the Heisenberg equations of motion (see, for example, [21]). Between kicks each system evolves separately as…”

Section: A Semi-classical Dynamicsmentioning

confidence: 99%

Quantum and classical chaos in kicked coupled Jaynes-Cummings cavities

Hayward

Greentree

2010

Phys. Rev. A

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“…In order to specify the region where these conditions are valid and to visualize the effect of the quantized photon number let us define the discrete counterpart, E k {9), of the continuous function E{k, 9), as the curve connecting the discrete points (k,E(k,9)) taken at integer values of k, by straight lines. The continuous function E(k, 9) oscillates faster for larger 9 (and smaller k), suggesting that E k (9) will deviate from it high above threshold (and at small photon numbers). We find that E k {9) follows E(k,9)slowly with k in a neighborhood of ko, i. e., if the conditions given by (2.5) and (2.6) for ko » 1 apply.…”

Section: The Semiclassical Regimementioning

confidence: 99%

“…One can see in Fig. 5 that E{k. 9) is an oscillatory function and its minima are given by the curves 9) in the 9-k space, where / is an integer. Expanding E(k, 9) with respect to 9 for a given ko around one of the minima # min , we find that E < 1 if (9 m j n -1 < 9 < #min + 1, provided ko «C N ex .…”

Section: The Semiclassical Regimementioning

confidence: 99%

“…The correspondence between (3.1) and the quantum phases is apparent in the examples depicted in Figs These points are important because, as we will see later on, large single peaks, the quantum islands, can arise in their vicinity due to the small slope of the phases. In order to understand this and to find a compact formula for the peaks (minima) of the photon statistics, we make use of the function E(k.9) and its discrete counterpart E k (9), again. These functions are useful in explaining why the two branches of each curve in Figure 8 alternatively represent peaks (solid lines) and minima (dotted lines) of the photon statistics.…”

Section: The Quantum Regimementioning

confidence: 99%

“…Due to the relatively straightforward theory [3,4] and experimental accessibility, it has proved to be particularly well suited to study quantum effects in the interaction between radiation and matter. Genuine quantum features have been predicted and observed, such as, e. g, the JaynesCummings collapse-revival [5], nonclassical photon statistics including number states [6], trapping states [7], quantum island states [8], and macroscopical superpositions [9]. It has also been suggested to build macroscopic correlated systems by coupling two micromasers together to study nonlocal quantum cor-relations between separate fields [10], or to couple them to other quantum devices in, for example, atomic interferometers to test the principle of complementarity [11],…”

Section: Introductionmentioning

confidence: 99%

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Phase Structures in the Micromaser Photon Statistics

Bergou

Bogár

1999

Zeitschrift Für Naturforschung A

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In the photon number distribution p(9,k) of the micromaser, distinct structures are formed by the ridges connecting the peaks in the 9 -k space. We refer to these structures as phases. By a simple condition we can distinguish between "semiclassical" and "quantum" regimes of operation near and far above threshold, respectively. In the semiclassical regime, the equations of state of the phases 9 = 9{k) are monotonous and coincide with the steady state solutions of the semiclassical theory. They reflect typical features of the micromaser dynamics. The transition jumps, e. g., between the phases decrease with increasing pumping parameter 9, signifying the onset of the Jaynes-Cummings collapse. On increasing 9 further, the phases first disintegrate and then restructure into new kinds of phases in the quantum regime. The equations of state are no longer monotonous. Large single peaks, the quantum island states (QIS), develop in the neighborhoods of minima. The system undergoes oscillations between two kinds of quantum island states, QIS -and QIS + , as a function of 9. The disintegration and transformation of phases recur periodically as 9 is varied, and the phases in the semiclassical region are followed by consecutive phase structures in the quantum regime. The subsequent collapses and revivals of phases are directly connected to the Jaynes-Cummings collapse and revival. The observation of these phase structures and the accompanying QIS is experimentally feasible.PACS 42.50. Dv, 42.52+x

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Atome im nichtklassischen Licht

Walther

1991

Phys. Bl.

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Fragen der Photonenstatik von Lichtquellen sind in der Quantenoptik in den letzten Jahren sehr intensiv untersucht worden. Von besonderem Interesse ist dabei die Erzeugung der sogenannten nichtklassischen Strahlung. Diese ist nur bei einer quantenmechanischen Behandlung des Strahlungsfeldes erlaubt und kann nicht durch ein klassisches elektromagnetisches Feld dargestellt werden. Im Photonenbild entspricht der nichtklassischen Strahlung eine gleichmäßige Folge von Photonen. Ein solcher Lichtstrahl ist für die optische Kommunikation von sehr großem Interesse, da ein Optimum an Information übertragen werden kann; außerdem sind die Intensitätsschwankungen minimal. Aus diesem Grunde ist die Untersuchung der Bedingungen, die zur Erzeugung des nichtklassischen Lichtes führen, von großer Bedeutung. Es zeigt sich, daß die Herstellung der Strahlung in einem Maser/Laser dann möglich ist, wenn die Verluste außerordentlich klein gehalten werden; außerdem müssen die Energieaustauschprozesse zwischen Strahlungsfeld und Atomen sehr genau kontrolliert werden, so daß hierbei keine zusätzlichen Photonen verloren gehen. Diese Prozesse sind von grundsätzlichem Interesse, da sie eine Messung von Strahlungsfeldern erlauben, ohne daß dabei Photonen vernichtet werden, wie es normalerweise der Fall ist.

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Quantum and semiclassical steady states of a kicked cavity mode

Cited by 220 publications

References 6 publications

Quantum and classical chaos in kicked coupled Jaynes-Cummings cavities

Quantum and classical chaos in kicked coupled Jaynes-Cummings cavities

Phase Structures in the Micromaser Photon Statistics

Atome im nichtklassischen Licht

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