Vortex dynamics and turbulence in dipolar Bose-Einstein condensates

Quantum turbulence indicators in dipolar Bose-Einstein condensed fluids, following emissions of vortex-antivortex pairs generated by a circularly moving detuned laser, are being provided by numerical simulations of the corresponding quasi-two-dimensional Gross-Pitaevskii formalism with repulsive contact interactions combined with tunable dipole-dipole strength. The critical velocities of two variants of a circularly moving obstacle are determined and analyzed for vortex-antivortex nucleation in the form of regular and cluster emissions. The turbulent dynamical behavior is predicted to follow closely the initial emission of vortex-antivortex pairs, relying on the expected Kolmogorov's classical scaling law, which is verified by the spectral analysis of the incompressible part of the kinetic energy. Within our aim to provide further support in the up-to-now investigations of quantum turbulence, which have been focused on non-dipolar Bose-Einstein condensates, we emphasize the role of dipole-dipole interactions in the fluid dynamics.

[1]  P. Capuzzi,et al.  Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases , 2023, Physical Review A.

[2]  G. Lamporesi,et al.  Vortices in dipolar Bose–Einstein condensates , 2023, Comptes Rendus. Physique.

[3]  M. Kozuma,et al.  Bose-Einstein Condensation of Europium. , 2022, Physical review letters.

[4]  G. Lamporesi,et al.  Observation of vortices and vortex stripes in a dipolar condensate , 2022, Nature Physics.

[5]  Ashton S. Bradley,et al.  Vortex generation in stirred binary Bose-Einstein condensates , 2022, Physical Review A.

[6]  R. Hänninen,et al.  Rotating quantum wave turbulence , 2022, Nature Physics.

[7]  Y. Shin,et al.  Vortex shedding frequency of a moving obstacle in a Bose–Einstein condensate , 2022, New Journal of Physics.

[8]  Kishor Kumar Ramavarmaraja,et al.  Interplay between Binary and Three-Body Interactions and Enhancement of Stability in Trapless Dipolar Bose–Einstein Condensates , 2022, Applied Sciences.

[9]  B. Lev,et al.  Dipolar physics: a review of experiments with magnetic quantum gases , 2022, Reports on progress in physics. Physical Society.

[10]  Ashton S. Bradley,et al.  Spectral analysis for compressible quantum fluids , 2021, Physical Review A.

[11]  Matthew J. Davis,et al.  Turbulent Relaxation to Equilibrium in a Two-Dimensional Quantum Vortex Gas , 2020, Physical Review X.

[12]  A. M. Martin,et al.  Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate , 2020, Physical Review A.

[13]  G. Krstulovic,et al.  Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence , 2020, Physical Review B.

[14]  Ionut Danaila,et al.  Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks , 2020, Comput. Phys. Commun..

[15]  V. Bagnato,et al.  Quantum Turbulence in Quantum Gases , 2019, Annual Review of Condensed Matter Physics.

[16]  K. Porsezian,et al.  Vortex formation and vortex lattices in a Bose-Einstein condensate with Lee-Huang-Yang (LHY) correction , 2019, Physica E: Low-dimensional Systems and Nanostructures.

[17]  A. Gammal,et al.  Spatial separation of rotating binary Bose-Einstein condensates by tuning the dipolar interactions , 2018, Physical Review A.

[18]  A. M. Martin,et al.  Instability of Rotationally Tuned Dipolar Bose-Einstein Condensates. , 2018, Physical review letters.

[19]  S. Sabari,et al.  Stabilization of trapless dipolar Bose-Einstein condensates by temporal modulation of the contact interaction , 2018, Physical Review E.

[20]  Innsbruck,et al.  Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms. , 2018, Physical review letters.

[21]  S. Sabari,et al.  Effect of an oscillating Gaussian obstacle in a dipolar Bose-Einstein condensate , 2018, 1809.07634.

[22]  Matthew J. Davis,et al.  Giant vortex clusters in a two-dimensional quantum fluid , 2018, Science.

[23]  T. Simula,et al.  Order from chaos: Observation of large-scale flow from turbulence in a two-dimensional superfluid , 2018, 1801.06952.

[24]  B. Malomed,et al.  Vortex lattices in binary Bose-Einstein condensates with dipole-dipole interactions , 2017, 1712.04719.

[25]  Sabari Subramaniyan Vortex formation and hidden vortices in dipolar Bose–Einstein condensates , 2017 .

[26]  L. Galantucci,et al.  Quantum Ferrofluid Turbulence. , 2017, Physical review letters.

[27]  Paulsamy Muruganandam,et al.  Miscibility in coupled dipolar and non-dipolar Bose–Einstein condensates , 2017, 1704.06826.

[28]  L. Santos,et al.  Quantum-Fluctuation-driven crossover from a dilute bose-einstein condensate to a macrodroplet in a dipolar quantum fluid , 2016, 1607.06613.

[29]  A. M. Martin,et al.  Vortices and vortex lattices in quantum ferrofluids , 2016, Journal of physics. Condensed matter : an Institute of Physics journal.

[30]  H. Salman,et al.  Long-range ordering of topological excitations in a two-dimensional superfluid far from equilibrium , 2016, 1605.09760.

[31]  Haifeng Jiang,et al.  Exotic vortex lattices in a rotating binary dipolar Bose-Einstein condensate , 2016, Scientific Reports.

[32]  Ashton S. Bradley,et al.  Theory of the vortex-clustering transition in a confined two-dimensional quantum fluid , 2015, 1512.05517.

[33]  V. Bagnato,et al.  Quantum turbulence in trapped atomic Bose-Einstein condensates , 2015, 1512.05262.

[34]  D. Paganin,et al.  Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps , 2015, 1511.06552.

[35]  K. Porsezian,et al.  Dynamical stability of dipolar Bose-Einstein condensates with temporal modulation of the s-wave scattering length. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  V. Bagnato,et al.  Controlled polarization of two-dimensional quantum turbulence in atomic Bose-Einstein condensates , 2015, 1507.03135.

[37]  Luis E. Young-S.,et al.  Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap , 2015, Comput. Phys. Commun..

[38]  M. Tsubota,et al.  Bogoliubov-wave turbulence in Bose-Einstein condensates , 2015, 1502.03274.

[39]  Alexander L. Gaunt,et al.  Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas , 2014, Science.

[40]  A. J. Allen,et al.  Generation and decay of two-dimensional quantum turbulence in a trapped Bose-Einstein condensate , 2014, 1408.3268.

[41]  W. Kwon,et al.  Relaxation of superfluid turbulence in highly oblate Bose-Einstein condensates , 2014, 1403.4658.

[42]  L. Skrbek,et al.  Quantum, or classical turbulence? , 2014 .

[43]  Ashton S. Bradley,et al.  Signatures of coherent vortex structures in a disordered two-dimensional quantum fluid , 2013, 1312.4618.

[44]  A. M. Martin,et al.  Anisotropic and long-range vortex interactions in two-dimensional dipolar Bose gases. , 2013, Physical review letters.

[45]  F. Dalfovo,et al.  Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate , 2013, Nature Physics.

[46]  V. Bagnato,et al.  Vortices and turbulence in trapped atomic condensates , 2013, Proceedings of the National Academy of Sciences.

[47]  Ashton S. Bradley,et al.  Inverse energy cascade in forced two-dimensional quantum turbulence. , 2012, Physical review letters.

[48]  Ashton S. Bradley,et al.  Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates , 2012, 1209.2447.

[49]  Jian Wang,et al.  A Different Angle on Light Communications , 2012, Science.

[50]  E. Timmermans,et al.  Roton immiscibility in a two-component dipolar Bose gas , 2012, 1208.2198.

[51]  P. Zoller,et al.  Condensed matter theory of dipolar quantum gases. , 2012, Chemical reviews.

[52]  R. Grimm,et al.  Bose-Einstein condensation of erbium. , 2012, Physical review letters.

[53]  C. Barenghi,et al.  Creation and characterization of vortex clusters in atomic Bose-Einstein condensates , 2012, 1204.1519.

[54]  Ashton S. Bradley,et al.  Energy Spectra of Vortex Distributions in Two-Dimensional Quantum Turbulence , 2012, 1204.1103.

[55]  Seo Ho Youn,et al.  Strongly dipolar Bose-Einstein condensate of dysprosium. , 2011, Physical review letters.

[56]  V. Bagnato,et al.  Route to turbulence in a trapped Bose-Einstein condensate , 2010, 1007.4953.

[57]  B. Lev,et al.  Dysprosium magneto-optical traps , 2010, 1007.1480.

[58]  Masahito Ueda,et al.  Spinor Bose-Einstein condensates , 2010, Quantum Atom Optics.

[59]  S. Ronen,et al.  Critical superfluid velocity in a trapped dipolar gas. , 2009, Physical review letters.

[60]  Ashton S. Bradley,et al.  Observation of vortex dipoles in an oblate Bose-Einstein condensate. , 2009, Physical review letters.

[61]  V. Bagnato,et al.  Generation of Vortices and Observation of Quantum Turbulence in an Oscillating Bose-Einstein Condensate , 2009, 0910.2729.

[62]  T. Horng,et al.  Two-dimensional quantum turbulence in a nonuniform Bose-Einstein condensate , 2009 .

[63]  D. Wacks,et al.  Nonclassical velocity statistics in a turbulent atomic Bose-Einstein condensate. , 2009, Physical review letters.

[64]  M. S. Skolnick,et al.  Persistent currents and quantized vortices in a polariton superfluid , 2009, 0907.2371.

[65]  M. Lewenstein,et al.  The physics of dipolar bosonic quantum gases , 2009, 0905.0386.

[66]  V. Bagnato,et al.  Emergence of turbulence in an oscillating bose-einstein condensate. , 2009, Physical review letters.

[67]  M. Baranov,et al.  Theoretical progress in many-body physics with ultracold dipolar gases , 2008 .

[68]  A. Fetter Rotating trapped Bose-Einstein condensates , 2008, 0801.2952.

[69]  I. Carusotto,et al.  Quantized vortices in an exciton–polariton condensate , 2008, 0801.1916.

[70]  B. Frohlich,et al.  Stabilization of a purely dipolar quantum gas against collapse , 2007, 0710.3643.

[71]  T. Lahaye,et al.  Strong dipolar effects in a quantum ferrofluid , 2007, Nature.

[72]  M. Tsubota,et al.  Quantum Turbulence in a Trapped Bose-Einstein Condensate under Combined Rotations around Three Axes , 2007, cond-mat/0703603.

[73]  T. Koch,et al.  Comparing contact and dipolar interactions in a Bose-Einstein condensate. , 2006, Physical review letters.

[74]  S. Yi,et al.  Vortex structures in dipolar condensates , 2005, cond-mat/0509246.

[75]  C. Adams,et al.  Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates. , 2005, Physical review letters.

[76]  T. Pfau,et al.  Tuning the dipolar interaction in quantum gases. , 2002, Physical review letters.

[77]  C. Pethick,et al.  Bose-Einstein Condensation in Dilute Gases , 2001 .

[78]  W. Ketterle,et al.  Vortex nucleation in a stirred Bose-Einstein condensate. , 2001, Physical review letters.

[79]  Masahito Ueda,et al.  Vortex lattice formation in a rotating Bose-Einstein condensate , 2001, cond-mat/0104523.

[80]  J. Dalibard,et al.  Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation. , 2001, Physical review letters.

[81]  L. You,et al.  Trapped condensates of atoms with dipole interactions , 2000, cond-mat/0005054.

[82]  R. Onofrio,et al.  Evidence for a Critical Velocity in a Bose-Einstein Condensed Gas , 1999, cond-mat/9909109.

[83]  L. You,et al.  CONTROLLING ATOM-ATOM INTERACTION AT ULTRALOW TEMPERATURES BY DC ELECTRIC FIELDS , 1998, quant-ph/9810046.

[84]  W. Ketterle,et al.  Observation of Feshbach resonances in a Bose–Einstein condensate , 1998, Nature.

[85]  M. Brachet,et al.  KOLMOGOROV TURBULENCE IN LOW-TEMPERATURE SUPERFLOWS , 1997 .

[86]  U. Frisch Turbulence: The Legacy of A. N. Kolmogorov , 1996 .

[87]  Valerii M. Vinokur,et al.  Vortices in high-temperature superconductors , 1994 .

[88]  A. Kolmogorov,et al.  The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[89]  K. Schwarz,et al.  Quantized Vortices in Superfluid Helium‐4 , 1987 .

[90]  R. Kraichnan Inertial Ranges in Two‐Dimensional Turbulence , 1967 .

[91]  P. Cagan,et al.  Evidence from a , 2023 .

[92]  L. Skrbek,et al.  Ten Chapters in Turbulence: How Similar is Quantum Turbulence to Classical Turbulence? , 2012 .

[93]  D. Lathrop,et al.  Quantum turbulence , 2011 .

[94]  Carlo F. Barenghi,et al.  Quantized vortex dynamics and superfluid turbulence , 2001 .

[95]  V. S. Gur'yanov ON THE UNIFIED THEORY OF NUCLEAR REACTIONS , 1964 .

[96]  L. Onsager,et al.  Statistical hydrodynamics , 1949 .