The Momentum Distribution of Liquid ⁴He

Prisk, T. R.; Bryan, M. S.; Sokol, P. E.; Granroth, G. E.; Moroni, S.; Boninsegni, M.

doi:10.1007/s10909-017-1798-7

Title: The Momentum Distribution of Liquid ⁴He

Abstract

We report a high-resolution neutron Compton scattering study of liquid ⁴He under milli-Kelvin temperature control. To interpret the scattering data, we performed Quantum Monte Carlo calculations of the atomic momentum distribution and final state effects for the conditions of temperature and density considered in the experiment. There is excellent agreement between the observed scattering and ab initio calculations of its lineshape at all temperatures. We also used model fit functions to obtain from the scattering data empirical estimates of the average atomic kinetic energy and Bose condensate fraction. These quantities are also in excellent agreement with ab initio calculations. We conclude that contemporary Quantum Monte Carlo methods can furnish accurate predictions for the properties of Bose liquids, including the condensate fraction, close to the superfluid transition temperature.

Authors:

^[1]; Bryan, M. S. ^[2]; Sokol, P. E. ^[2]; Granroth, G. E. ^[3]; Moroni, S. ^[4]; Boninsegni, M. ^[5]

National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
Indiana Univ., Bloomington, IN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Scuola Internazionale Superiore di Studi AvanzatiTrieste (Italy)
Univ. of Alberta, Edmonton, AB (Canada)

Publication Date:: Mon Jul 24 00:00:00 EDT 2017

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1376568

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Low Temperature Physics

Additional Journal Information:: Journal Volume: 189; Journal Issue: 3-4; Journal ID: ISSN 0022-2291

Publisher:: Plenum Press

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Bose-Einstein condensation; momentum distributions; inelastic neutron scattering; quantum Monte Carlo

Citation Formats


                    Prisk, T. R., Bryan, M. S., Sokol, P. E., Granroth, G. E., Moroni, S., and Boninsegni, M. The Momentum Distribution of Liquid ⁴He.  United States: N. p., 2017. 
Web.  doi:10.1007/s10909-017-1798-7.

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                    Prisk, T. R., Bryan, M. S., Sokol, P. E., Granroth, G. E., Moroni, S., & Boninsegni, M. The Momentum Distribution of Liquid ⁴He.  United States.  https://doi.org/10.1007/s10909-017-1798-7

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                    Prisk, T. R., Bryan, M. S., Sokol, P. E., Granroth, G. E., Moroni, S., and Boninsegni, M. Mon .  
"The Momentum Distribution of Liquid ⁴He".  United States.  https://doi.org/10.1007/s10909-017-1798-7.  https://www.osti.gov/servlets/purl/1376568.

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@article{osti_1376568,

  title        = {The Momentum Distribution of Liquid ⁴He},

  author       = {Prisk, T. R. and Bryan, M. S. and Sokol, P. E. and Granroth, G. E. and Moroni, S. and Boninsegni, M.},

  abstractNote = {We report a high-resolution neutron Compton scattering study of liquid ⁴He under milli-Kelvin temperature control. To interpret the scattering data, we performed Quantum Monte Carlo calculations of the atomic momentum distribution and final state effects for the conditions of temperature and density considered in the experiment. There is excellent agreement between the observed scattering and ab initio calculations of its lineshape at all temperatures. We also used model fit functions to obtain from the scattering data empirical estimates of the average atomic kinetic energy and Bose condensate fraction. These quantities are also in excellent agreement with ab initio calculations. We conclude that contemporary Quantum Monte Carlo methods can furnish accurate predictions for the properties of Bose liquids, including the condensate fraction, close to the superfluid transition temperature.},

  doi          = {10.1007/s10909-017-1798-7},

  journal      = {Journal of Low Temperature Physics},

  number       = 3-4,

  volume       = 189,

  place        = {United States},

  year         = {Mon Jul 24 00:00:00 EDT 2017},

  month        = {Mon Jul 24 00:00:00 EDT 2017}

}

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Title: The Momentum Distribution of Liquid ⁴He

Abstract

Citation Formats

Quantum Momentum Distribution and Kinetic Energy in Solid H e 4 journal, August 2004

Momentum distribution and final-state effects in liquid 4 He journal, October 1997

Exciton-polariton Bose-Einstein condensation journal, May 2010

Scaling and final-state interactions in deep-inelastic neutron scattering journal, July 1984

The momentum distribution of liquid 3 He journal, September 2016

Density and Temperature Dependence of the Condensate Fraction in Liquid 4 He journal, July 1992

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Final-State Effects on Thermal-Neutron Scattering at High-Energy Transfer journal, August 1973

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Final-state effects on the deep-inelastic response of liquid He 4 journal, November 1990

Deep-inelastic neutron scattering from liquid He 4 journal, June 1990

Measurement of momentum distribution of lightatoms and molecules in condensed matter systems using inelastic neutron scattering journal, July 2005

Density dependence of the momentum distribution in normal liquid He 4 journal, January 1990

Collective excitations in liquid 4 He. II. Analysis and comparison with theory journal, July 1994

Structure, superfluidity, and quantum melting of hydrogen clusters journal, March 2007

Accurate momentum distributions from computations on 3 He and 4 He journal, November 1987

Large- q neutron inclusive-scattering data from liquid 4 He journal, March 1998

High-Momentum Response of Liquid H e 3 journal, February 2004

Structure dependence of final-state effects in deep inelastic neutron scattering: Quasiclassical theory journal, March 1987

Extracting source parameters from beam monitors on a chopper spectrometer journal, January 2015

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Scaling and deep inelastic neutron scattering from quantum liquids and solids journal, February 1987

Bose–Einstein condensation of quasi-equilibrium magnons at room temperature under pumping journal, September 2006

Testing quantum superpositions of the gravitational field with Bose-Einstein condensates journal, February 2005

Determination of the Momentum Distribution from the Dynamic Structure Factor in Quantum Liquids journal, October 1982

Bose-Einstein Condensates with 1 / r Interatomic Attraction: Electromagnetically Induced “Gravity” journal, June 2000

Momentum and energy dependent resolution function of the ARCS neutron chopper spectrometer at high momentum transfer: Comparing simulation and experiment journal, November 2016

The Scattering of Neutrons by Systems of Heavy Nuclei journal, May 1952

Path-integral computation of the low-temperature properties of liquid He 4 journal, January 1986

Equation of State of Solid 3 He journal, March 2000

Momentum distributions in quantum and nearly classical liquids journal, January 1995

Collective excitations in liquid 4 He: I. Experiment and presentation of data journal, January 1994

Momentum Distributions in Liquid 4 He journal, August 1989

Virtual experiments: Combining realistic neutron scattering instrument and sample simulations journal, August 2009

Final-state effects on superfluid He 4 in the deep inelastic regime journal, March 1996

Bose-Einstein Condensation in Microgravity journal, June 2010

Bose–Einstein condensation of photons in an optical microcavity journal, November 2010

Measurement of the kinetic energy in through the superfluid transition by very high-energy neutron scattering journal, December 1997

Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations journal, February 2006

Event-based processing of neutron scattering data journal, December 2015

Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations journal, September 2006

McStas, a general software package for neutron ray-tracing simulations journal, January 1999

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data journal, November 2009

The Spallation Neutron Source in Oak Ridge: A powerful tool for materials research journal, November 2006

Theory of deep inelastic neutron scattering: Hard-core perturbation theory journal, August 1988

McStas 1.7 - a new version of the flexible Monte Carlo neutron scattering package journal, July 2004

Deep-inelastic response of liquid helium journal, November 1998

Deviations from the impulse approximation in liquid He 4 : An experimental test at Q =23 Å − 1 journal, January 1991

Condensate, momentum distribution, and final-state effects in liquid 4 He journal, December 2000

A comparison of four direct geometry time-of-flight spectrometers at the Spallation Neutron Source journal, April 2014

Unique determination of the He 2 ground state potential from experiment by use of a reliable potential model journal, March 1982

Quantum fluids of light journal, February 2013

Density and temperature dependence of the momentum distribution in liquid helium 4 journal, December 1995

Bose–Einstein condensation of exciton polaritons journal, September 2006

High-Energy Neutron Scattering from Liquid He 4 journal, December 1966

Superfluidity and Quantum Melting of p − H 2 Clusters journal, July 2006

Deviations from the impulse approximation in liquid He 4 : Momentum-transfer dependence journal, July 1991

Design and operation of the wide angular-range chopper spectrometer ARCS at the Spallation Neutron Source journal, January 2012

Theory of deep inelastic neutron scattering. II. Application to normal and superfluid He 4 journal, March 1989

Bose-Einstein Condensation of Dilute Magnons in TlCuCl 3 journal, June 2000

Bose-Einstein Condensation in Solid He 4 journal, May 2007

Condensate Fraction in Liquid 4 He journal, August 2004

Condensate and final-state effects in superfluid 4 He journal, December 1997

Atomic momentum distribution and Bose-Einstein condensation in liquid 4 He under pressure journal, November 2011

Neutron stars in the laboratory journal, April 2017

Path-integral computation of superfluid densities journal, December 1987

Condensate Fraction in Liquid 4He at Zero Temperature journal, October 2011

Spontaneous Bose Coherence of Excitons and Polaritons journal, November 2002

Recent developments of MCViNE and its applications at SNS journal, August 2019

Universal short-range correlations in bosonic helium clusters journal, January 2020

Quantum Momentum Distribution and Kinetic Energy in Solid ${}^{4}{H e}$
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Momentum distribution and final-state effects in liquid $^{4} He$
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Exciton-polariton Bose-Einstein condensation
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Scaling and final-state interactions in deep-inelastic neutron scattering
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The momentum distribution of liquid ³ He
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Density and Temperature Dependence of the Condensate Fraction in Liquid ⁴ He
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An accurate intermolecular potential for helium
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Final-State Effects on Thermal-Neutron Scattering at High-Energy Transfer
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Mantid—Data analysis and visualization package for neutron scattering and $μ$ SR experiments
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Bose-Einstein Condensation of Microcavity Polaritons in a Trap
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Final-state effects on the deep-inelastic response of liquid ${}^{4}{He}$
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Deep-inelastic neutron scattering from liquid ${}^{4}{He}$
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Measurement of momentum distribution of lightatoms and molecules in condensed matter systems using inelastic neutron scattering
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Density dependence of the momentum distribution in normal liquid ${}^{4}{He}$
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Collective excitations in liquid ⁴ He. II. Analysis and comparison with theory
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Structure, superfluidity, and quantum melting of hydrogen clusters
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Accurate momentum distributions from computations on ³ He and ⁴ He
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Large- $q$ neutron inclusive-scattering data from liquid $^{4} He$
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High-Momentum Response of Liquid ${}^{3}{H e}$
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Structure dependence of final-state effects in deep inelastic neutron scattering: Quasiclassical theory
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Extracting source parameters from beam monitors on a chopper spectrometer
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Temperature dependence of the condensate fraction of superfluid4 He
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Scaling and deep inelastic neutron scattering from quantum liquids and solids
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Bose–Einstein condensation of quasi-equilibrium magnons at room temperature under pumping
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Testing quantum superpositions of the gravitational field with Bose-Einstein condensates
journal, February 2005

Determination of the Momentum Distribution from the Dynamic Structure Factor in Quantum Liquids
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Bose-Einstein Condensates with $1 / r$ Interatomic Attraction: Electromagnetically Induced “Gravity”
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Momentum and energy dependent resolution function of the ARCS neutron chopper spectrometer at high momentum transfer: Comparing simulation and experiment
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The Scattering of Neutrons by Systems of Heavy Nuclei
journal, May 1952

Path-integral computation of the low-temperature properties of liquid ${}^{4}{He}$
journal, January 1986

Equation of State of Solid $^{3} He$
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Momentum distributions in quantum and nearly classical liquids
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Collective excitations in liquid ⁴ He: I. Experiment and presentation of data
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Momentum Distributions in Liquid ⁴ He
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Virtual experiments: Combining realistic neutron scattering instrument and sample simulations
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Final-state effects on superfluid ${}^{4}{He}$ in the deep inelastic regime
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Bose-Einstein Condensation in Microgravity
journal, June 2010

Bose–Einstein condensation of photons in an optical microcavity
journal, November 2010

Measurement of the kinetic energy in through the superfluid transition by very high-energy neutron scattering
journal, December 1997

Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations
journal, February 2006

Event-based processing of neutron scattering data
journal, December 2015

Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations
journal, September 2006

McStas, a general software package for neutron ray-tracing simulations
journal, January 1999

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data
journal, November 2009

The Spallation Neutron Source in Oak Ridge: A powerful tool for materials research
journal, November 2006

Theory of deep inelastic neutron scattering: Hard-core perturbation theory
journal, August 1988

McStas 1.7 - a new version of the flexible Monte Carlo neutron scattering package
journal, July 2004

Deep-inelastic response of liquid helium
journal, November 1998

Deviations from the impulse approximation in liquid ${}^{4}{He}$ : An experimental test at Q =23 Å ${}^{- 1}$
journal, January 1991

Condensate, momentum distribution, and final-state effects in liquid $^{4} He$
journal, December 2000

A comparison of four direct geometry time-of-flight spectrometers at the Spallation Neutron Source
journal, April 2014

Unique determination of the He ₂ ground state potential from experiment by use of a reliable potential model
journal, March 1982

Quantum fluids of light
journal, February 2013

Density and temperature dependence of the momentum distribution in liquid helium 4
journal, December 1995

Bose–Einstein condensation of exciton polaritons
journal, September 2006

High-Energy Neutron Scattering from Liquid ${He}^{4}$
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Superfluidity and Quantum Melting of $p − H_{2}$ Clusters
journal, July 2006

Deviations from the impulse approximation in liquid ${}^{4}{He}$ : Momentum-transfer dependence
journal, July 1991

Design and operation of the wide angular-range chopper spectrometer ARCS at the Spallation Neutron Source
journal, January 2012

Theory of deep inelastic neutron scattering. II. Application to normal and superfluid ${}^{4}{He}$
journal, March 1989

Bose-Einstein Condensation of Dilute Magnons in ${TlCuCl}_{3}$
journal, June 2000

Bose-Einstein Condensation in Solid ${}^{4}{He}$
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Condensate Fraction in Liquid ⁴ He
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Condensate and final-state effects in superfluid $^{4} He$
journal, December 1997

Atomic momentum distribution and Bose-Einstein condensation in liquid $^{4}$ He under pressure
journal, November 2011

Neutron stars in the laboratory
journal, April 2017

Path-integral computation of superfluid densities
journal, December 1987

Condensate Fraction in Liquid 4He at Zero Temperature
journal, October 2011

Spontaneous Bose Coherence of Excitons and Polaritons
journal, November 2002

Recent developments of MCViNE and its applications at SNS
journal, August 2019

Universal short-range correlations in bosonic helium clusters
journal, January 2020