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Title: Towards quantum turbulence in cold atomic fermionic superfluids

Abstract

Fermionic superfluids provide a new realization of quantum turbulence, accessible to both experiment and theory, yet relevant to phenomena from both cold atoms to nuclear astrophysics. In particular, the strongly interacting Fermi gas realized in cold-atom experiments is closely related to dilute neutron matter in neutron star crusts. Unlike the liquid superfluids 4He (bosons) and 3He (fermions), where quantum turbulence has been studied in laboratory for decades, superfluid Fermi gases stand apart for a number of reasons. They admit a rather reliable theoretical description based on density functional theory called the time-dependent superfluid local density approximation that describes both static and dynamic phenomena. Cold atom experiments demonstrate exquisite control over particle number, spin polarization, density, temperature, and interaction strength. Topological defects such as domain walls and quantized vortices, which lie at the heart of quantum turbulence, can be created and manipulated with time-dependent external potentials, and agree with the time-dependent theoretical techniques. While similar experimental and theoretical control exists for weakly interacting Bose gases, the unitary Fermi gas is strongly interacting. The resulting vortex line density is extremely high, and quantum turbulence may thus be realized in small systems where classical turbulence is suppressed. Fermi gases also permit the studymore » of exotic superfluid phenomena such as the Larkin–Ovchinnikov–Fulde–Ferrell pairing mechanism for polarized superfluids which may give rise to 3D supersolids, and a pseudo-gap at finite temperatures that might affect the regime of classical turbulence. The dynamics associated with these phenomena has only started to be explored. Finally, superfluid mixtures have recently been realized, providing experimental access to phenomena like Andreev–Bashkin entrainment predicted decades ago. Superfluid Fermi gases thus provide a rich forum for addressing phenomena related to quantum turbulence with applications ranging from terrestrial superfluidity to astrophysical dynamics in neutron stars.« less

Authors:
 [1];  [2];  [3]
  1. University of Washington, Seattle, WA (United States)
  2. University of Washington, Seattle, WA (United States); Washington State University, Pullman, WA (United States)
  3. University of Washington, Seattle, WA (United States); Warsaw University of Technology (Poland)
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
Polish National Science Center (NCN); USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1535480
Alternate Identifier(s):
OSTI ID: 1334543
Grant/Contract Number:  
FG02-97ER41014; AC02-05CH11231; AC05-00OR22725; UMO-2013/08/A/ST3/00708; UMO-2014/13/D/ST3/01940
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. B, Atomic, Molecular and Optical Physics
Additional Journal Information:
Journal Volume: 50; Journal Issue: 1; Journal ID: ISSN 0953-4075
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Bulgac, Aurel, Forbes, Michael McNeil, and Wlazłowski, Gabriel. Towards quantum turbulence in cold atomic fermionic superfluids. United States: N. p., 2016. Web. doi:10.1088/1361-6455/50/1/014001.
Bulgac, Aurel, Forbes, Michael McNeil, & Wlazłowski, Gabriel. Towards quantum turbulence in cold atomic fermionic superfluids. United States. https://doi.org/10.1088/1361-6455/50/1/014001
Bulgac, Aurel, Forbes, Michael McNeil, and Wlazłowski, Gabriel. Tue . "Towards quantum turbulence in cold atomic fermionic superfluids". United States. https://doi.org/10.1088/1361-6455/50/1/014001. https://www.osti.gov/servlets/purl/1535480.
@article{osti_1535480,
title = {Towards quantum turbulence in cold atomic fermionic superfluids},
author = {Bulgac, Aurel and Forbes, Michael McNeil and Wlazłowski, Gabriel},
abstractNote = {Fermionic superfluids provide a new realization of quantum turbulence, accessible to both experiment and theory, yet relevant to phenomena from both cold atoms to nuclear astrophysics. In particular, the strongly interacting Fermi gas realized in cold-atom experiments is closely related to dilute neutron matter in neutron star crusts. Unlike the liquid superfluids 4He (bosons) and 3He (fermions), where quantum turbulence has been studied in laboratory for decades, superfluid Fermi gases stand apart for a number of reasons. They admit a rather reliable theoretical description based on density functional theory called the time-dependent superfluid local density approximation that describes both static and dynamic phenomena. Cold atom experiments demonstrate exquisite control over particle number, spin polarization, density, temperature, and interaction strength. Topological defects such as domain walls and quantized vortices, which lie at the heart of quantum turbulence, can be created and manipulated with time-dependent external potentials, and agree with the time-dependent theoretical techniques. While similar experimental and theoretical control exists for weakly interacting Bose gases, the unitary Fermi gas is strongly interacting. The resulting vortex line density is extremely high, and quantum turbulence may thus be realized in small systems where classical turbulence is suppressed. Fermi gases also permit the study of exotic superfluid phenomena such as the Larkin–Ovchinnikov–Fulde–Ferrell pairing mechanism for polarized superfluids which may give rise to 3D supersolids, and a pseudo-gap at finite temperatures that might affect the regime of classical turbulence. The dynamics associated with these phenomena has only started to be explored. Finally, superfluid mixtures have recently been realized, providing experimental access to phenomena like Andreev–Bashkin entrainment predicted decades ago. Superfluid Fermi gases thus provide a rich forum for addressing phenomena related to quantum turbulence with applications ranging from terrestrial superfluidity to astrophysical dynamics in neutron stars.},
doi = {10.1088/1361-6455/50/1/014001},
journal = {Journal of Physics. B, Atomic, Molecular and Optical Physics},
number = 1,
volume = 50,
place = {United States},
year = {Tue Dec 06 00:00:00 EST 2016},
month = {Tue Dec 06 00:00:00 EST 2016}
}

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Works referenced in this record:

Phase Imprinting in Equilibrating Fermi Gases: The Transience of Vortex Rings and Other Defects
journal, September 2014


Observation of Shock Waves in a Strongly Interacting Fermi Gas
journal, April 2011


Superfluid helium interferometers
journal, October 2012

  • Sato, Yuki; Packard, Richard
  • Physics Today, Vol. 65, Issue 10
  • DOI: 10.1063/PT.3.1749

Universal Properties of a Trapped Two-Component Fermi Gas at Unitarity
journal, December 2007


Upper Limit for the Critical Field in Hard Superconductors
journal, September 1962


Josephson effect in fermionic superfluids across the BEC-BCS crossover
journal, December 2015


Sur la théorie des liquides quantiques. Application a l'hélium liquide
journal, January 1940


Cascade of Solitonic Excitations in a Superfluid Fermi gas: From Planar Solitons to Vortex Rings and Lines
journal, January 2016


Energetics and structural properties of trapped two-component Fermi gases
journal, April 2008


Vortex Precession in Bose-Einstein Condensates: Observations with Filled and Empty Cores
journal, October 2000


Dispersive shock waves and modulation theory
journal, October 2016


Quantum Shock Waves and Domain Walls in the Real-Time Dynamics of a Superfluid Unitary Fermi Gas
journal, April 2012


Transitions between Turbulent and Laminar Superfluid Vorticity States in the Outer Core of a Neutron Star
journal, November 2006

  • Peralta, C.; Melatos, A.; Giacobello, M.
  • The Astrophysical Journal, Vol. 651, Issue 2
  • DOI: 10.1086/507576

Quantum Monte Carlo studies of superfluid Fermi gases
journal, October 2004


Local-density-functional theory for superfluid fermionic systems: The unitary gas
journal, October 2007


Asymmetric Two-Component Fermion Systems in Strong Coupling
journal, August 2005


How superfluid vortex knots untie
journal, March 2016

  • Kleckner, Dustin; Kauffman, Louis H.; Irvine, William T. M.
  • Nature Physics, Vol. 12, Issue 7
  • DOI: 10.1038/nphys3679

Perfect-fluid behavior of a dilute Fermi gas near unitary
journal, December 2015


Superfluid Pairing Gap in Strong Coupling
journal, April 2008


Dynamical Vanishing of the Order Parameter in a Fermionic Condensate
journal, June 2006


Sur la théorie des liquides quantiques. Application à l'hélium liquide. II
journal, January 1940


Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
journal, January 2012


A mixture of Bose and Fermi superfluids
journal, July 2014


Superfluid Fermi Gases with Large Scattering Length
journal, July 2003


Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
journal, October 2008


Trapped polarized Fermi gas at unitarity
journal, July 2008


Direct observation of Kelvin waves excited by quantized vortex reconnection
journal, March 2014

  • Fonda, E.; Meichle, D. P.; Ouellette, N. T.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue Supplement_1
  • DOI: 10.1073/pnas.1312536110

The mbx Challenge Competition: a Neutron Matter Model
journal, May 2001


Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
journal, February 2009


The stochastic Gross-Pitaevskii equation
journal, March 2002

  • Gardiner, C. W.; Anglin, J. R.; Fudge, T. I. A.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 35, Issue 6
  • DOI: 10.1088/0953-4075/35/6/310

Real-Time Dynamics of Quantized Vortices in a Unitary Fermi Superfluid
journal, June 2011


Entrainment parameters in a cold superfluid neutron star core
journal, April 2006


Nonadiabatic dynamics of superfluid spin-orbit-coupled degenerate Fermi gas
journal, November 2015


Motion of a Solitonic Vortex in the BEC-BCS Crossover
journal, August 2014


Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
journal, January 2014


Nonclassical Velocity Statistics in a Turbulent Atomic Bose-Einstein Condensate
journal, February 2010


Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
journal, June 2012


Quantum hydrodynamics
journal, January 2013


A note on the Maximum Critical Field of High‐Field Superconductors
journal, September 1962

  • Chandrasekhar, B. S.
  • Applied Physics Letters, Vol. 1, Issue 1
  • DOI: 10.1063/1.1777362

Quantum Turbulence
journal, March 2011


Chapter II Application of Quantum Mechanics to Liquid Helium
book, January 1955


The stochastic Gross–Pitaevskii equation: II
journal, November 2003

  • Gardiner, C. W.; Davis, M. J.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 36, Issue 23
  • DOI: 10.1088/0953-4075/36/23/010

Effective-range dependence of resonantly interacting fermions
journal, November 2012

  • Forbes, Michael McNeil; Gandolfi, Stefano; Gezerlis, Alexandros
  • Physical Review A, Vol. 86, Issue 5
  • DOI: 10.1103/PhysRevA.86.053603

Quantum Turbulence: Achievements and Challenges
journal, October 2010


Neutron matter model
journal, October 1999


Resonantly Interacting Fermions in a Box
journal, June 2011


Equation of State of a Fermi Gas in the BEC-BCS Crossover: A Quantum Monte Carlo Study
journal, November 2004


Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
journal, October 2013


Numerical study of velocity statistics in steady counterflow quantum turbulence
journal, April 2011


Pulsar glitches and restlessness as a hard superfluidity phenomenon
journal, July 1975


Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
journal, November 2008


Quantum turbulence in trapped atomic Bose–Einstein condensates
journal, March 2016


Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
journal, January 2002


Heavy solitons in a fermionic superfluid
journal, July 2013

  • Yefsah, Tarik; Sommer, Ariel T.; Ku, Mark J. H.
  • Nature, Vol. 499, Issue 7459
  • DOI: 10.1038/nature12338

Life cycle of superfluid vortices and quantum turbulence in the unitary Fermi gas
journal, March 2015


Auxiliary-field quantum Monte Carlo method for strongly paired fermions
journal, December 2011


Structure of a quantized vortex in boson systems
journal, May 1961


Validating simple dynamical simulations of the unitary Fermi gas
journal, October 2014


Statistical hydrodynamics
journal, March 1949


Vortices in Superfluid Fermi Gases through the BEC to BCS Crossover
journal, March 2006


Toward ab initio density functional theory for nuclei
journal, January 2010

  • Drut, J. E.; Furnstahl, R. J.; Platter, L.
  • Progress in Particle and Nuclear Physics, Vol. 64, Issue 1
  • DOI: 10.1016/j.ppnp.2009.09.001

Quantum turbulence
journal, April 2007

  • Vinen, William F.; Donnelly, Russell J.
  • Physics Today, Vol. 60, Issue 4
  • DOI: 10.1063/1.2731972

Introduction to quantum turbulence
journal, March 2014

  • Barenghi, C. F.; Skrbek, L.; Sreenivasan, K. R.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue Supplement_1
  • DOI: 10.1073/pnas.1400033111

Transport Phenomena in Helium II
journal, May 1938


Chladni Solitons and the Onset of the Snaking Instability for Dark Solitons in Confined Superfluids
journal, December 2014


Inhomogeneous Electron Gas
journal, November 1964


An Introduction to Quantum Turbulence
journal, December 2006


The entrainment matrix of a superfluid neutron–proton mixture at a finite temperature
journal, November 2005


Three-dimensional vortex dynamics in superfluid He 4 : Homogeneous superfluid turbulence
journal, August 1988


Relaxation and Persistent Oscillations of the Order Parameter in Fermionic Condensates
journal, March 2006


Superconductivity in a Strong Spin-Exchange Field
journal, August 1964


Population Imbalanced Fermionic Superfluids: From Cold Atoms to QCD
journal, January 2008

  • M., Michael; Forbes, Neil
  • Progress of Theoretical Physics Supplement, Vol. 174
  • DOI: 10.1143/PTPS.174.26

Determination of the equation of state of a polarized Fermi gas at unitarity
journal, April 2008


Dynamics and Interaction of Vortex Lines in an Elongated Bose-Einstein Condensate
journal, October 2015


Theory of the Superfluidity of Helium II
journal, August 1941


Collective mode of homogeneous superfluid Fermi gases in the BEC-BCS crossover
journal, October 2006


Vortex filament method as a tool for computational visualization of quantum turbulence
journal, March 2014

  • Hanninen, R.; Baggaley, A. W.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue Supplement_1
  • DOI: 10.1073/pnas.1312535111

Observation of Coupled Vortex Lattices in a Mass-Imbalance Bose and Fermi Superfluid Mixture
journal, September 2016


Rapid postglitch spin-up of the superfluid core in pulsars
journal, July 1984

  • Alpar, M. A.; Langer, S. A.; Sauls, J. A.
  • The Astrophysical Journal, Vol. 282
  • DOI: 10.1086/162232

Chandrasekhar-Clogston limit and critical polarization in a Fermi-Bose superfluid mixture
journal, October 2014


Transport Phenomena in Helium II
journal, May 1938


Rapid postglitch spin-up of the superfluid core in pulsars
journal, July 1984

  • Alpar, M. A.; Langer, S. A.; Sauls, J. A.
  • The Astrophysical Journal, Vol. 282
  • DOI: 10.1086/162232

Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
journal, October 2013


Dynamics and interaction of vortex lines in an elongated Bose-Einstein condensate
text, January 2015


Vortex pinning and dynamics in the neutron star crust
text, January 2016


Works referencing / citing this record:

Quantum turbulence in Bose–Einstein condensates: Present status and new challenges ahead
journal, August 2020

  • Madeira, L.; Cidrim, A.; Hemmerling, M.
  • AVS Quantum Science, Vol. 2, Issue 3
  • DOI: 10.1116/5.0016751

Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory
text, January 2021