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13 pages, 7522 KiB

Open AccessArticle

Signatures of Quantum Chaos of Rydberg-Dressed Bosons in a Triple-Well Potential

by Tianyi Yan, Matthew Collins, Rejish Nath and Weibin Li

Atoms 2023, 11(6), 89; https://doi.org/10.3390/atoms11060089 - 31 May 2023

Cited by 1 | Viewed by 1953

Abstract

We studied signatures of quantum chaos in dynamics of Rydberg-dressed bosonic atoms held in a one-dimensional triple-well potential. Long-range nearest-neighbor and next-nearest-neighbor interactions, induced by laser dressing atoms to strongly interacting Rydberg states, drastically affect mean-field and quantum many-body dynamics. By analyzing the [...] Read more.

We studied signatures of quantum chaos in dynamics of Rydberg-dressed bosonic atoms held in a one-dimensional triple-well potential. Long-range nearest-neighbor and next-nearest-neighbor interactions, induced by laser dressing atoms to strongly interacting Rydberg states, drastically affect mean-field and quantum many-body dynamics. By analyzing the mean-field dynamics, classical chaos regions with positive and large Lyapunov exponents were identified as a function of the potential well tilting and dressed interactions. In the quantum regime, it was found that level statistics of the eigen-energies gain a Wigner–Dyson distribution when the Lyapunov exponents are large, giving rise to signatures of strong quantum chaos. We found that both the time-averaged entanglement entropy and survival probability of the initial state have distinctively large values in the quantum chaos regime. We further showed that population variances could be used as an indicator of the emergence of quantum chaos. This might provide a way to directly probe quantum chaotic dynamics through analyzing population dynamics in individual potential wells. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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8 pages, 607 KiB

Open AccessCommunication

Rydberg Interaction-Induced Distortion of the Autler–Townes Spectra in Cold Lithium Atoms

by Sergey Saakyan, Nikita Morozov, Vladimir Sautenkov and Boris B. Zelener

Atoms 2023, 11(4), 73; https://doi.org/10.3390/atoms11040073 - 13 Apr 2023

Cited by 2 | Viewed by 1946

Abstract

In this article, effects of the strong long-range interaction of Rydberg atoms on the Autler–Townes splitting spectrum are investigated. Preliminary results are obtained for various excitation times and Rydberg atom densities. The

2 S_{1 / 2}

and

2 P_{1 / 2}

[...] Read more.

In this article, effects of the strong long-range interaction of Rydberg atoms on the Autler–Townes splitting spectrum are investigated. Preliminary results are obtained for various excitation times and Rydberg atom densities. The

2 S_{1 / 2}

and

2 P_{1 / 2}

levels of lithium-7 are coupled with strong laser field and probed by another laser via excitation into a

70 S

Rydberg level. Interactions between Rydberg atoms excited by the probe beam lead to the broadening of the Autler–Townes spectra. At high concentrations of Rydberg atoms, a suppression of the excitation of the Autler–Townes peak at red detuning is observed. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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12 pages, 8605 KiB

Open AccessArticle

Nonequilibrium Steady State in a Large Magneto-Optical Trap

by Marius Gaudesius, Yong-Chang Zhang, Thomas Pohl, Guillaume Labeyrie and Robin Kaiser

Atoms 2022, 10(4), 153; https://doi.org/10.3390/atoms10040153 - 15 Dec 2022

Cited by 1 | Viewed by 2850

Abstract

Considering light-mediated long-range interactions between cold atoms in a magneto-optical trap (MOT), we present numerical evidence of a nonequilibrium steady state (NESS) for sufficiently large number of atoms (>

10^{8}

). This state manifests itself as the appearance of an anisotropic distribution [...] Read more.

Considering light-mediated long-range interactions between cold atoms in a magneto-optical trap (MOT), we present numerical evidence of a nonequilibrium steady state (NESS) for sufficiently large number of atoms (>

10^{8}

). This state manifests itself as the appearance of an anisotropic distribution of velocity when a MOT approaches the threshold beyond which self-oscillating instabilities occur. Our three-dimensional (3D) spatiotemporal model with nonlocal spatial dependencies stemming from the interatomic interactions has recently been compared successfully to predict different instability thresholds and regimes in experiments with rubidium atoms. The behavior of the NESS is studied as a function of the main MOT parameters, including its spatiotemporal characteristics. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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9 pages, 447 KiB

Open AccessArticle

Polarization Spectroscopy Applied to Electromagnetically Induced Transparency in Hot Rydberg Atoms Using a Laguerre–Gaussian Beam

by Naomy Duarte Gomes, Bárbara da Fonseca Magnani, Jorge Douglas Massayuki Kondo and Luis Gustavo Marcassa

Atoms 2022, 10(2), 58; https://doi.org/10.3390/atoms10020058 - 1 Jun 2022

Cited by 5 | Viewed by 3088

Abstract

In this work, we have applied polarization spectroscopy to study electromagnetically induced transparency involving hot

{Rb}_{85}

Rydberg state in a vapor cell using a Laguerre–Gaussian mode beam. Such spectroscopy technique generates a dispersive signal, which allows a direct measurement of the transition [...] Read more.

In this work, we have applied polarization spectroscopy to study electromagnetically induced transparency involving hot

{Rb}_{85}

Rydberg state in a vapor cell using a Laguerre–Gaussian mode beam. Such spectroscopy technique generates a dispersive signal, which allows a direct measurement of the transition linewidth. Our results show that the measured transition linewidth for a Laguerre–Gaussian mode control beam is narrower than for a Gaussian mode. Besides, it can be well reproduced by a simplified Lindblad master equation model. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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13 pages, 2112 KiB

Open AccessArticle

Quasi-Static and Dynamic Photon Bubbles in Cold Atom Clouds

by João D. Rodrigues, Ruggero Giampaoli, José A. Rodrigues, António V. Ferreira, Hugo Terças and José T. Mendonça

Atoms 2022, 10(2), 45; https://doi.org/10.3390/atoms10020045 - 30 Apr 2022

Cited by 4 | Viewed by 2792

Abstract

Turbulent radiation flow is ubiquitous in many physical systems where light–matter interaction becomes relevant. Photon bubble instabilities, in particular, have been identified as a possible source of turbulent radiation transport in astrophysical objects such as massive stars and black hole accretion disks. Here, [...] Read more.

Turbulent radiation flow is ubiquitous in many physical systems where light–matter interaction becomes relevant. Photon bubble instabilities, in particular, have been identified as a possible source of turbulent radiation transport in astrophysical objects such as massive stars and black hole accretion disks. Here, we report on the experimental observation of a photon bubble instability in cold atomic gases, in the presence of multiple scattering of light. Two different regimes are identified, namely, the growth and formation of quasi-static structures of depleted atom density and increased photon number, akin to photon bubbles in astrophysical objects, and the destabilisation of these structures in a second regime of photon bubble turbulence. A two-fluid theory is developed to model the coupled atom–photon gas and to describe both the saturation of the instability in the regime of quasi-static bubbles and the low-frequency turbulent phase associated with the growth and collapse of photon bubbles inside the atomic sample. We also employ statistical dimensionality reduction techniques to describe the low-dimensional nature of the turbulent regime. The experimental results reported here, along with the theoretical model we have developed, may shed light on analogue photon bubble instabilities in astrophysical scenarios. Our findings are consistent with recent analyses based on spatially resolved pump–probe measurements. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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10 pages, 323 KiB

Open AccessArticle

Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation

by Fernando Haas and Rodrigo Vidmar

Atoms 2022, 10(1), 28; https://doi.org/10.3390/atoms10010028 - 1 Mar 2022

Viewed by 2944

Abstract

The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear [...] Read more.

The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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Review

Jump to: Research, Other

9 pages, 327 KiB

Open AccessReview

Nonlinear Dynamics in Isotropic and Anisotropic Magneto-Optical Traps

by Fernando Haas and Luiz Gustavo Ferreira Soares

Atoms 2022, 10(3), 83; https://doi.org/10.3390/atoms10030083 - 12 Aug 2022

Viewed by 2150

Abstract

We briefly review some recent advances in the field of nonlinear dynamics of atomic clouds in magneto-optical traps. A hydrodynamical model in a three-dimensional geometry is applied and analyzed using a variational approach. A Lagrangian density is proposed in the case where thermal [...] Read more.

We briefly review some recent advances in the field of nonlinear dynamics of atomic clouds in magneto-optical traps. A hydrodynamical model in a three-dimensional geometry is applied and analyzed using a variational approach. A Lagrangian density is proposed in the case where thermal and multiple scattering effects are both relevant, where the confinement damping and harmonic potential are both included. For generality, a general polytropic equation of state is assumed. After adopting a Gaussian profile for the fluid density and appropriate spatial dependencies of the scalar potential and potential fluid velocity field, a set of ordinary differential equations is derived. These equations are applied to compare cylindrical and spherical geometry approximations. The results are restricted to potential flows. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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Other

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10 pages, 451 KiB

Open AccessBrief Report

Continuous Acceleration Sensing Using Optomechanical Droplets

by Gordon R. M. Robb, Josh G. Walker, Gian-Luca Oppo and Thorsten Ackemann

Atoms 2024, 12(3), 15; https://doi.org/10.3390/atoms12030015 - 6 Mar 2024

Viewed by 1966

Abstract

We show that a Bose–Einstein Condensate illuminated by a far off-resonant optical pump field and its retroreflection from a feedback mirror can produce stable, localised structures known as optomechanical droplets. We show that these droplets could be used to measure the acceleration of [...] Read more.

We show that a Bose–Einstein Condensate illuminated by a far off-resonant optical pump field and its retroreflection from a feedback mirror can produce stable, localised structures known as optomechanical droplets. We show that these droplets could be used to measure the acceleration of a BEC via continuous monitoring of the position of the droplet via the optical intensity distribution. Full article

(This article belongs to the Special Issue Cold and Rydberg Atoms for Quantum Technologies)

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