Acoustic analogues of nonlinear-optics phenomena

Bunkin, F. V.; Kravtsov, Yu. A.; Lyakhov, G. A.

doi:10.1070/pu1986v029n07abeh003458

Cited by 61 publications

(15 citation statements)

References 22 publications

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“…Note that the last transition changes the number of excitations in the system by one, which is only possible when the interaction is given by the generalized quantum Rabi Hamiltonian of Eq. (6). The last transition is also an example of how a virtual photon is annihilated in the process.…”

Section: Analogous Processesmentioning

confidence: 99%

“…One such setup would be three resonators coupled to a single qubit using the generalized Rabi interaction in Eq. (6). If the resonator frequencies satisfy ω a + ω b ≈ ω c , the two states |1, 1, 0, g and |0, 0, 1, g become resonant.…”

Section: Analogous Processesmentioning

confidence: 99%

“…The many applications and the fundamental nature of nonlinear optics have also inspired investigations of analogous effects in other types of waves. Prominent examples include nonlinear acoustics [6,7], nonlinear spin waves [8], nonlinear atom optics [9,10], nonlinear Josephson plasma waves [11], and nonlinear plasmonics [12]. Analogies of this kind can sometimes enable simulations or demonstrations of phenomena that are hard to realize in other systems [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Deterministic quantum nonlinear optics with single atoms and virtual photons

et al. 2017

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We show how analogues of a large number of well-known nonlinear-optics phenomena can be realized with one or more two-level atoms coupled to one or more resonator modes. Through higher-order processes, where virtual photons are created and annihilated, an effective deterministic coupling between two states of such a system can be created. In this way, analogues of three-wave mixing, four-wave mixing, higher-harmonic and -subharmonic generation (i.e., up-and downconversion), multiphoton absorption, parametric amplification, Raman and hyper-Raman scattering, the Kerr effect, and other nonlinear processes can be realized. In contrast to most conventional implementations of nonlinear optics, these analogues can reach unit efficiency, only use a minimal number of photons (they do not require any strong external drive), and do not require more than two atomic levels. The strength of the effective coupling in our proposed setups becomes weaker the more intermediate transition steps are needed. However, given the recent experimental progress in ultrastrong light-matter coupling and improvement of coherence times for engineered quantum systems, especially in the field of circuit quantum electrodynamics, we estimate that many of these nonlinear-optics analogues can be realized with currently available technology.

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Section: Analogous Processesmentioning

confidence: 99%

Section: Analogous Processesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Deterministic quantum nonlinear optics with single atoms and virtual photons

et al. 2017

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“…The generation of the thermal mode in the field of intense sound alters temperature of the medium of sound propagation. That happens to viscous fluids and yields to scattering of sound at the heated domains [19]. The acoustic heating caused by periodic sound in Newtonian fluids is well-studied [1,3].…”

Section: Dynamics Of Total Excess Density and Pressurementioning

confidence: 99%

Hysteresis curves and loops for harmonic and impulse perturbations in some non-equilibrium gases

Perelomova

2013

Open Physics

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Abstract:Evolution of sound in a relaxing gas whose properties vary in the course of wave propagation, is studied. A relaxing medium may reveal normal acoustic properties or be acoustically active. In the first case, losses in acoustic energy lead to an increase in internal energy of a gas similarly as it happens in Newtonian fluids. In the second case, acoustic energy increases in the course of sound propagation, and the internal energy of a medium decreases. Variations in the internal energy of a gas are proportional to some generic parameter, the sign of which is responsible for acoustical activity, and depends on intensity and shape of the sound waveform. Hysteresis curves in the plane of thermodynamic states are plotted. Curves for harmonic and several aperiodic sound impulses are plotted, discussed and compared. PACS

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“…On the other side, it is well known that optical and acoustical waves share many common phenomena, under restricted validity conditions [5].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous pattern formation in an acoustical resonator

Sánchez‐Morcillo

2003

The Journal of the Acoustical Society of America

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A dynamical system of equations describing parametric sound generation (PSG) in a dispersive large aspect ratio resonator is derived. The model generalizes previously proposed descriptions of PSG by including diffraction effects, and is analogous to the model used in theoretical studies of optical parametric oscillation.A linear stability analysis of the solution below the threshold of subharmonic generation reveals the existence of a pattern forming instability, which is confirmed by numerical integration. The conditions of emergence of periodic patterns in transverse space are discussed in the acoustical context.

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Acoustic analogues of nonlinear-optics phenomena

Cited by 61 publications

References 22 publications

Deterministic quantum nonlinear optics with single atoms and virtual photons

Deterministic quantum nonlinear optics with single atoms and virtual photons

Hysteresis curves and loops for harmonic and impulse perturbations in some non-equilibrium gases

Spontaneous pattern formation in an acoustical resonator

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