Quantum turbulence in Bose–Einstein condensates: Present status and new challenges ahead

Madeira, Lucas; Cidrim, A.; Hemmerling, M.; Caracanhas, M. A.; Santos, F. E. A. dos; Bagnato, Vanderlei Salvador

doi:10.1116/5.0016751

Cited by 27 publications

(20 citation statements)

References 175 publications

(213 reference statements)

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“…First, we can exploit standard Fourier methods to efficiently evaluate the convolution, (32). Second, by writing the power spectrum (31) and the two-point correlation (33) in terms of the kernels (27) and (34), we have decoupled the grid of the vector fields from the grid of the spectrum and correlator: the kernel functions can be evaluated on any desired k or r grids. This avoids the need to bin cartesian grid data or interpolate onto a grid that better suits numerical integration over angles; it also allows for rectangular spatial domains, as the convolution may be evaluated for vector fields with arbitrary coordinate range.…”

Section: A Angle-integrated Wiener-khinchin Theoremmentioning

confidence: 99%

See 1 more Smart Citation

Spectral analysis for compressible quantum fluids

Bradley¹,

Kumar²,

Pal³

et al. 2021

Preprint

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We develop a formal and numerical spectral analysis for U (1) symmetry-breaking quantum fluids suitable for analyzing turbulent flows, with specific application to the Gross-Pitaevskii fluid. Our formulation establishes the connection between energy spectral densities, velocity power spectra, and two-point spatial correlation functions for compressible quantum fluids. Removing binning approximations, and adding flexibility to k-space evaluation, the formulation allows for high resolution spectral analysis and reconstruction of correlation functions. A single vortex in a trapped planar BEC provides an analytically tractable example with spectral features of interest in both the infrared and ultraviolet regimes. Vortex distributions spanning the dipole gas, plasma, and clustered phases exhibit increased velocity coherence length with increasing vortex energy.

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Section: A Angle-integrated Wiener-khinchin Theoremmentioning

confidence: 99%

“…Spectral analysis forms a central tool for understanding quantum fluid turbulence [4,8,11,[15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], providing a compact representation of kinetic features at widely different scales in terms of wavenumber k = 2π/ ; for reviews see Refs. [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Spectral analysis for compressible quantum fluids

Bradley¹,

Kumar²,

Pal³

et al. 2021

Preprint

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“…Turbulence is a process that occurs in many types of fluids and a wide range of length scales. The field of quantum turbulence (QT) deals with turbulence in quantum fluids, such as liquid helium and trapped Bose-Einstein condensates (BECs) [1][2][3]. Its classical counterpart, classical turbulence, is a process that occurs in fluids spanning the climatic effects that involve large masses down to capillaries.…”

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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“…The second comparison is made with statistical optics. Reference [13] found that a ground-state BEC and a turbulent BEC [14,15] share an analogy with the propagation of an optical Gaussian beam and elliptical speckle light map. This occurs because both are examples of coherent matter-wave systems.…”

Section: Introductionmentioning

confidence: 99%

Cold Atoms Beyond Atomic Physics

Madeira

Bagnato

2020

Braz J Phys

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In the last 25 years, much progress has been made producing and controlling Bose-Einstein condensates (BECs) and degenerate Fermi gases. The advances in trapping, cooling, and tuning the interparticle interactions in these cold atom systems lead to an unprecedented amount of control that one can exert over them. This work aims to show that knowledge acquired studying cold atom systems can be applied to other fields that share similarities and analogies with them, provided that the differences are also known and taken into account. We focus on two specific fields: nuclear physics and statistical optics. The nuclear physics discussion occurs with the BCS-BEC crossover in mind, in which we compare cold Fermi gases with nuclear and neutron matter and nuclei. We connect BECs and atom lasers through both systems' matter-wave character for the analogy with statistical optics. Finally, we present some challenges that, if solved, would increase our understanding of cold atom systems and, thus, the related areas.

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Quantum turbulence in Bose–Einstein condensates: Present status and new challenges ahead

Cited by 27 publications

References 175 publications

Spectral analysis for compressible quantum fluids

Spectral analysis for compressible quantum fluids

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

Cold Atoms Beyond Atomic Physics

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