Abstract:We apply the concept of the mazer to the two-photon process and propose the idea of the two-photon mazer. We establish the general quantum theory of the two-photon mazer and calculate its emission probability in the special case of a mesa mode function. We study not only the case in which the cavity field is initially in a number state, but also the case in which the cavity field is initially in a coherent state. Under the condition of an initial coherent field, the emission probability shows the collapse-revi… Show more
“…Löffler et al [7] showed also that the mazer may be used as a velocity selection device for an atomic beam. The mazer concept was extended by Zhang et al [8,9,10], who considered two-photon transitions [8], three-level atoms interacting with a single cavity [9] and with two cavities [10]. Collapse and revival patterns with a mazer have been computed by Du et al [11].…”
The quantum theory of the mazer in the nonresonant case ͑a detuning between the cavity mode and the atomic transition frequencies is present͒ is described. The generalization from the resonant case is far from being direct. Interesting effects of the mazer physics are pointed out. In particular, it is shown that the cavity may slow down or speed up the atoms according to the sign of the detuning and that the induced emission process may be completely blocked by use of a positive detuning. It is also shown that the detuning adds a potential step effect not present at resonance and that the use of positive detunings defines a well-controlled cooling mechanism. In the special case of a mesa cavity mode function, generalized expressions for the reflection and transmission coefficients have been obtained. The general properties of the induced emission probability are finally discussed in the hot, intermediate, and cold atom regimes. Comparison with the resonant case is given.
“…Löffler et al [7] showed also that the mazer may be used as a velocity selection device for an atomic beam. The mazer concept was extended by Zhang et al [8,9,10], who considered two-photon transitions [8], three-level atoms interacting with a single cavity [9] and with two cavities [10]. Collapse and revival patterns with a mazer have been computed by Du et al [11].…”
The quantum theory of the mazer in the nonresonant case ͑a detuning between the cavity mode and the atomic transition frequencies is present͒ is described. The generalization from the resonant case is far from being direct. Interesting effects of the mazer physics are pointed out. In particular, it is shown that the cavity may slow down or speed up the atoms according to the sign of the detuning and that the induced emission process may be completely blocked by use of a positive detuning. It is also shown that the detuning adds a potential step effect not present at resonance and that the use of positive detunings defines a well-controlled cooling mechanism. In the special case of a mesa cavity mode function, generalized expressions for the reflection and transmission coefficients have been obtained. The general properties of the induced emission probability are finally discussed in the hot, intermediate, and cold atom regimes. Comparison with the resonant case is given.
“…[726] in the case of a mesa function (the problem is analytically solvable in this case). Since its introduction, the maser action has been generalized to various setups; bimodal cavities [727,728], two-photon transitions [729,730], Λ atoms [731,732], and V atoms [733,734]. Effects of quantized motion in the STIRAP scheme was analyzed in [735], and it was particularly found that the adiabatic passage breaks down for sufficiently slow atoms and then a series of tunneling resonances appears.…”
The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of the emphasis to the omnipresence of the model across a range of disciplines, this monograph brings up the fundamental generality of its formalism, looking at a wide gamut of applications in specific physical systems among several realms, including atomic physics, quantum optics, solid-state physics and quantum information science. When bringing the various pieces together to assemble our narrative, we have primarily targeted researchers in quantum physics and quantum optics. The monograph also comprises an accessible introduction for graduate students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, and quantum many-body physics. In that framework, we aim to reveal the common ground between physics and applications scattered across literature and different technological advancements. The exposition guides the reader through a vibrant field interlacing quantum optics and condensed-matter physics. All sections are devoted to the strong interconnection between theory and experiment, historically linked to the development of the various modern research directions stemming from JC physics. This is accompanied by a comprehensive list of references to the key publications that have shaped its evolution since the early 1960s. Finally, we have endeavoured to keep the presentation of such a multi-sided material as concise as possible, interspersing continuous text with various illustrations alongside an economical use of mathematical expressions.
“…At the present time, no work has been devoted to know whether the revivals predicted by Zhang et al [7] for the two-photon mazer may also be suppressed by use of an appropriate initial state of the atom-field system. An answer to this question is given at the end of this paper.…”
Section: Introductionmentioning
confidence: 99%
“…Zhang et al [7] extended the concept of the mazer to the two-photon process by proposing the idea of the two-photon mazer. Their work was focused on the study of its induced emission probability in the special case of the mesa mode function.…”
Section: Introductionmentioning
confidence: 99%
“…In Sec. III, results of Zhang et al [7] are extended to the 1, 2 and 3-photon mazer systems and to various cavity mode profiles (mesa, sech 2 , and gaussian ones). Collapserevival patterns are described for atoms prepared completely in the upper state or in the lower state.…”
We present a study of collapse-revival patterns that appear in the changes of atomic populations induced by the interaction of ultracold two-level atoms with electromagnetic cavities in resonance with an m-photon transition of the atoms (m-photon mazer). In particular, sech 2 and gaussian cavity mode profiles are considered and differences in the collapse-revival patterns are reported. The quantum theory of the m-photon mazer is written in the framework of the dressed-state coordinate formalism. Simple expressions for the atomic populations, the cavity photon statistics, and the reflection and transmission probabilities are given for any initial state of the atom-field system. Evidence for the population trapping phenomenon which suppress the collapse-revivals in the mphoton mazer is given.
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