Regimes of Steady-State Turbulence in a Quantum Fluid

• URL: http://arxiv.org/abs/2409.03184v2
• Date: Tue, 17 Dec 2024 01:00:09 GMT
• Title: Regimes of Steady-State Turbulence in a Quantum Fluid
• Authors: Tommy Z. Fischer, Ashton S. Bradley,
• Abstract summary: We observe the development of isotropic turbulence from anisotropic forcing for a broad range of forcing amplitudes.<n>The spectrum transitions to a $k-7/3$ regime for compressible kinetic energy only, associated with dense vortex turbulence.<n>The strong forcing regime is consistent with an inverse cascade of compressible energy driven by small-scale vortex annihilation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We simulate the Gross-Pitaevskii equation to model the development of turbulence in a quantum fluid confined by a cuboid box potential, and forced by shaking along one axis. We observe the development of isotropic turbulence from anisotropic forcing for a broad range of forcing amplitudes, and characterise the states through their Fourier spectra, vortex distributions, and spatial correlations. For weak forcing the steady-state wave-action spectrum exhibits a $k^{-3.5}$ scaling over wavenumber $k$; further decomposition uncovers the same power law in both compressible kinetic energy and quantum pressure, while the bulk superfluid remains phase coherent and free from extended vortices. As the forcing energy exceeds the chemical potential, extended vortices develop in the bulk, disrupting the $k^{-3.5}$ scaling. The spectrum then transitions to a $k^{-7/3}$ regime for compressible kinetic energy only, associated with dense vortex turbulence, and phase coherence limited to the healing length. The strong forcing regime is consistent with an inverse cascade of compressible energy driven by small-scale vortex annihilation.

Related papers

• Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates [0.0]
  We investigate three kinds of instabilities in binary immiscible Bose-Einstein condensate, considering rubidium isotopes $85$Rb and $87$Rb confined in two-dimensional circular box. RT and Kelvin-Helmholtz (KH) instability types are studied under strong perturbations. Our numerical simulations show that all such instability dynamics are dominated by large vortex productions and sound-wave propagations.
  arXiv  Detail & Related papers  (2025-03-17T23:02:44Z)
• Wave turbulence in driven dipolar gases [0.0]
  The nonequilibrium turbulent response of driven three-dimensional dipolar gases is monitored by dynamically crossing the supersolid-to-superfluid phase transition. We observe that supersolidity sustaining higher-lying momenta, associated with the roton minimum, promotes the emergence of turbulence.
  arXiv  Detail & Related papers  (2024-10-18T02:33:34Z)
• Stability and decay of subradiant patterns in a quantum gas with photon-mediated interactions [34.82692226532414]
  We study subradiance in a Bose-Einstein condensate positioned at the mode crossing of two optical cavities. metastable density structures that suppress emission into one cavity mode prevent relaxation to the stationary, superradiant grating. We reproduce these dynamics by a quantum mean field model, suggesting that subradiance shares characteristics with quasi-stationary states predicted in other long-range interacting systems.
  arXiv  Detail & Related papers  (2024-07-12T12:47:07Z)
• Unifying Floquet theory of longitudinal and dispersive readout [33.7054351451505]
  We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. We apply them to superconducting and spin-hybrid cQED systems.
  arXiv  Detail & Related papers  (2024-07-03T18:00:47Z)
• Phase modulation of directed transport, energy diffusion and quantum scrambling in a Floquet non-Hermitian system [3.250943494257319]
  We investigate both theoretically and numerically the wavepacket's dynamics in momentum space for a Floquet non-Hermitian system. We have deduced the exact expression of a time-evolving wavepacket under the condition of quantum resonance.
  arXiv  Detail & Related papers  (2023-12-13T11:56:50Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Universal equation of state for wave turbulence in a quantum gas [0.0]
  We experimentally construct an EoS for a turbulent cascade of matter waves. We establish the amplitude of the momentum distribution and the underlying energy flux as equilibrium-like state variables. This results in a universal dimensionless EoS that sets benchmarks for the theory and should also be relevant for other turbulent systems.
  arXiv  Detail & Related papers  (2022-12-16T18:59:01Z)
• Quantum critical behavior of entanglement in lattice bosons with cavity-mediated long-range interactions [0.0]
  We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively coupled to a cavity mode.
  arXiv  Detail & Related papers  (2022-04-16T04:10:57Z)
• Turbulent relaxation to equilibrium in a two-dimensional quantum vortex gas [0.0]
  We experimentally study emergence of microcanonical equilibrium states in the turbulent relaxation dynamics of a two-dimensional chiral vortex gas. Same-sign vortices are injected into a quasi-two-dimensional disk-shaped atomic Bose-Einstein condensate using a range of mechanical stirring protocols.
  arXiv  Detail & Related papers  (2020-10-20T06:05:01Z)
• Quantum dynamics and relaxation in comb turbulent diffusion [91.3755431537592]
  Continuous time quantum walks in the form of quantum counterparts of turbulent diffusion in comb geometry are considered. Operators of the form $hatcal H=hatA+ihatB$ are described. Rigorous analytical analysis is performed for both wave and Green's functions.
  arXiv  Detail & Related papers  (2020-10-13T15:50:49Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.