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arXiv:2411.18760 · SciPost Physics

Coherent deflection of atomic samples and positional mesoscopic superpositions

Luís Felipe Alves da Silva, Leandro M. R. Rocha, M. H. Y. Moussa

Published May 28, 2025• 0 citations
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Abstract

We present a protocol based on the interplay between superradiance and superabsorption to achieve the coherent deflection of an atomic sample due to the momentum transfer from the atoms to a cavity field. The coherent character of this momentum transfer, causing the atomic sample to deflect as a whole, follows from the collective nature of the atomic superradiant pulse and its superabsorption by the cavity field. The protocol is then used for the construction of positional mesoscopic atomic superpositions in cavity quantum electrodynamics.

DOI
10.21468/scipostphys.18.5.169

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We present a protocol based on the interplay between superradiance and superabsorption to achieve the coherent deflection of an atomic sample due to the momentum transfer from the atoms to a cavity field. The coherent character of this momentum transfer, causing the atomic sample to deflect as a whole, follows from the collective nature of the atomic superradiant pulse and its superabsorption by the cavity field. The protocol is then used for the construction of positional mesoscopic atomic superpositions in cavity quantum electrodynamics.
In this work we will deal with the effects of a coherent electromagnetic field acting on an atomic dipole gas confined to a cavity.It is known from ( 5) that in such conditions, if we a have moderately dense sample of N 2-level atoms, we can observe the presence of superradiance, i.e., the enhanced emission of a coherent pulse of intensity proportional to N 2 and, in a smaller scale, the enhanced absorption as well ( 14).When coupling this sample to a quantum electromagnetic field via Tavis-Cummings interaction we are able to enhance even more the superabsorption as well as the superemission to a lesser degree in such a way as to almost equate the intensities of both processes and give rise to interleaved oscillations between them in both field and sample resulting in the phenomenon of many-body Rabi oscillations described in (1).However, it is to expect that, due to momentum conservation, such a phenomenon would cause a deflection on the atoms of the sample in a small time interval, after which we would have a mesoscopic superposition containing all the information related to the prior state.Our main goal is the study of the deflection suffered by the atoms of such a sample and how it relates to the state before the emission.We solve the time-dependent non-linear Hamiltonian related to the superradiant emission/superabsorption via the Lewis-Riesenfeld invariant method.At the end we will show how the macroscopic states were prepared to obtain our results.
The experimental success achieved in recent decades in the coherent manipulation of several Rabi cycles has led to a new stage in the physics of radiation-matter interaction. Motivated by this perspective, we propose here the engineering of coherent many-body Rabi oscillations (CMBROs) induced from the interactions of a moderately dense atomic sample with the environment and a high-finesse cavity mode. The CMBRO follows from the interplay between superradiance and superabsorption: the collective decay and absorption of the atomic sample inside the cavity. The equations we have derived for this interplay, based on the mean-field approximation, describe a two-level superradiant laser in an appropriate parameter regime, and its properties are also discussed. The control of quantum coherence according to the method presented here can be adapted to the implementation of quantum information processes as well as for the investigation of the fundamentals of quantum mechanics.
A superfluid atomic gas is prepared inside an optical resonator with an ultranarrow bandwidth on the order of the single photon recoil energy. When a monochromatic off-resonant laser beam irradiates the atoms, above a critical intensity the cavity emits superradiant light pulses with a duration on the order of its photon storage time. The atoms are collectively scattered into coherent superpositions of discrete momentum states, which can be precisely controlled by adjusting the cavity resonance frequency. With appropriate pulse sequences the entire atomic sample can be collectively accelerated or decelerated by multiples of two recoil momenta. The instability boundary for the onset of matter wave superradiance is recorded and its main features are explained by a mean field model.
Experimental realization of superabsorption by using a time-reversed process of coherent superradiance is presented. Phase-correlated atoms in the same superposition state were prepared by using a nanohole array atomic beam aperture placed in front of a high-Q cavity. The time reversal was then achieved by preparing the phase of the superposition state of atoms opposite to that of the atoms which would generate the coherent superradiance with its phase the same as that of an input field. The intracavity field was depleted by superabsorption much faster than by the ordinary ground-state absorption. We experimentally observed that the maximum number of photons completely absorbed for a given time interval was proportional to N2in contrast to the ordinary absorption proportional to N, the number of atoms in the cavity.