Cold Atoms Beyond Atomic Physics

Madeira, Lucas; Bagnato, Vanderlei Salvador

doi:10.1007/s13538-020-00805-3

Cited by 4 publications

(4 citation statements)

References 119 publications

(180 reference statements)

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“…The interatomic interactions between two atoms can be tuned * madeira@ifsc.usp.br in the laboratory via Feshbach resonances [7,8], which allows us to explore how physical properties change as the interaction is varied. The universal behavior in the lowenergy limit enables us to draw a parallel between cold atomic gases and nuclear systems, for example [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Scattering length and effective range of microscopic two-body potentials

Lima¹,

Madeira²

2023

Preprint

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Scattering processes are a fundamental way of experimentally probing distributions and properties of systems in several areas of physics. Considering two-body scattering at low energies, when the de Broglie wavelength is larger than the range of the potential, partial waves with high angular momentum are typically unimportant. The dominant contribution comes from l = 0 partial waves, commonly known as s-wave scattering. This situation is very relevant in atomic physics, e.g. cold atomic gases, and nuclear physics, e.g. nuclear structure and matter. This manuscript is intended as a pedagogical introduction to the topic while covering a numerical approach to compute the desired quantities. We introduce low-energy scattering with particular attention to the concepts of scattering length and effective range. These two quantities appear in the effective-range approximation, which universally describes low-energy processes. We outline a numerical procedure for calculating the scattering length and effective range of spherically symmetric two-body potentials. As examples, we apply the method to the spherical well, modified Pöschl-Teller, Gaussian, and Lennard-Jones potentials. We hope to provide the tools so students can implement similar calculations and extend them to other potentials.

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Section: Introductionmentioning

confidence: 99%

Scattering length and effective range of microscopic two-body potentials

Lima¹,

Madeira²

2023

Preprint

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“…However, turbulence in quantum fluids might be more manageable than its classical counterpart because the vortex circulation is quantized in the former and continuous for classical fluids. Additionally, the advances in trapping, cooling, and tuning the interparticle interactions in atomic BECs make them excellent candidates for studying quantum turbulence and connecting it to related fields [4].…”

Section: Introductionmentioning

confidence: 99%

“…Its time dependence provides evidence of the mechanism behind the turbulent regime [14]. In some 4 He experiments, where visualization techniques are well-developed, the geometry and interactions of vortices can be directly observed [15]. In trapped BECs, where the range of length scales available is much smaller, the visualization techniques have not yet reached the same level of detail.…”

Section: Introductionmentioning

confidence: 99%

Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate

Madeira¹,

García-Orozco²,

Moreno-Armijos³

et al. 2021

Preprint

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Quantum turbulence is characterized by many degrees of freedom interacting non-linearly to produce disordered states, both in space and time. The advances in trapping, cooling, and tuning the interparticle interactions in atomic Bose-Einstein condensates (BECs) make them excellent candidates for studying quantum turbulence. In this work, we investigate the decaying regime of quantum turbulence in a trapped BEC. Although much progress has been made in understanding quantum turbulence, other strategies are needed to overcome some intrinsic difficulties. We present an alternative way of investigating this phenomenon by defining and computing a characteristic length scale, which possesses relevant characteristics to study the establishment of the quantum turbulent regime. One intrinsic difficulty related to these systems is that absorption images of BECs are projected to a plane, thus eliminating some of the information present in the original momentum distribution. We overcome this difficulty by exploring the symmetry of the cloud, which allows us to reconstruct the three-dimensional momentum distributions with the inverse Abel transform. We present our analysis with both the two- and three-dimensional momentum distributions, discussing their similarities and differences. We argue that the characteristic length allows us to visualize the time evolution of the turbulent state intuitively.

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“…However, despite intensive studies, many questions are still open. Experiments based on ultracold trapped atoms allow for a precise control and direct observation of their quantum dynamics, accelerating the progress in this direction [3][4][5][6][7][8]. At the same time, this experimental approach is boosted by theoretical models that provide a framework to describe this complex phenomenology [9][10][11].…”

mentioning

confidence: 99%

Universal dynamics of a turbulent superfluid Bose gas

García-Orozco¹,

Madeira²,

Moreno-Armijos³

et al. 2021

Preprint

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We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the out-of-equilibrium dynamics post excitation is described by a single function due to nearby non-thermal fixed points. The observed behavior connects the dynamics of a quantum turbulent state to several far-from-equilibrium phenomena. We present a controllable protocol to explore universality in such systems, obtaining scaling exponents that can serve as reference for future theoretical investigations. Our experimental results thus offer a promising route to investigate the complex dynamics of the quantum turbulent regime under a novel perspective.

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Cold Atoms Beyond Atomic Physics

Cited by 4 publications

References 119 publications

Scattering length and effective range of microscopic two-body potentials

Scattering length and effective range of microscopic two-body potentials

Characteristic Length Scale during the Time Evolution of a Turbulent Bose-Einstein Condensate

Universal dynamics of a turbulent superfluid Bose gas

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