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Title: Entanglement and collective flavor oscillations in a dense neutrino gas

Abstract

We investigate the importance of going beyond the mean-field approximation in the dynamics of collective neutrino oscillations. To expand our understanding of the coherent neutrino oscillation problem, we apply concepts from many-body physics and quantum information theory. Specifically, we use measures of nontrivial correlations (otherwise known as “entanglement”) between the constituent neutrinos of the many-body system, such as the entanglement entropy and the Bloch vector of the reduced density matrix. The relevance of going beyond the mean field is demonstrated by comparisons between the evolution of the neutrino state in the many-body picture vs the mean-field limit, for different initial conditions.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1593524
Alternate Identifier(s):
OSTI ID: 1568944
Grant/Contract Number:  
SC0019465
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 8; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cervia, Michael J., Patwardhan, Amol V., Balantekin, A. B., Coppersmith, S. N., and Johnson, Calvin W. Entanglement and collective flavor oscillations in a dense neutrino gas. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.083001.
Cervia, Michael J., Patwardhan, Amol V., Balantekin, A. B., Coppersmith, S. N., & Johnson, Calvin W. Entanglement and collective flavor oscillations in a dense neutrino gas. United States. doi:10.1103/PhysRevD.100.083001.
Cervia, Michael J., Patwardhan, Amol V., Balantekin, A. B., Coppersmith, S. N., and Johnson, Calvin W. Tue . "Entanglement and collective flavor oscillations in a dense neutrino gas". United States. doi:10.1103/PhysRevD.100.083001.
@article{osti_1593524,
title = {Entanglement and collective flavor oscillations in a dense neutrino gas},
author = {Cervia, Michael J. and Patwardhan, Amol V. and Balantekin, A. B. and Coppersmith, S. N. and Johnson, Calvin W.},
abstractNote = {We investigate the importance of going beyond the mean-field approximation in the dynamics of collective neutrino oscillations. To expand our understanding of the coherent neutrino oscillation problem, we apply concepts from many-body physics and quantum information theory. Specifically, we use measures of nontrivial correlations (otherwise known as “entanglement”) between the constituent neutrinos of the many-body system, such as the entanglement entropy and the Bloch vector of the reduced density matrix. The relevance of going beyond the mean field is demonstrated by comparisons between the evolution of the neutrino state in the many-body picture vs the mean-field limit, for different initial conditions.},
doi = {10.1103/PhysRevD.100.083001},
journal = {Physical Review D},
number = 8,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}

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Works referenced in this record:

Collective neutrino flavor transformation in supernovae
journal, December 2006


Collisional Triggering of Fast Flavor Conversions of Supernova Neutrinos
journal, March 2019


Neutrino flavor transformation in the lepton-asymmetric universe
journal, October 2016


Entanglement and quantal coherence: Study of two limiting cases of rapid system-bath interactions
journal, April 2002


Flavor entanglement in neutrino oscillations in the wave packet description
journal, October 2015


Coherent Development of Neutrino Flavor in the Supernova Environment
journal, December 2006


Theory of neutrino oscillations with entanglement
journal, November 2010


On fast neutrino flavor conversion modes in the nonlinear regime
journal, March 2019


Neutrino Scattering and Flavor Transformation in Supernovae
journal, June 2012


Simulation of coherent nonlinear neutrino flavor transformation in the supernova environment: Correlated neutrino trajectories
journal, November 2006


Neutrino mass hierarchy and three-flavor spectral splits of supernova neutrinos
journal, May 2010


Neutrino flavor evolution in neutron star mergers
journal, August 2017


Self-induced neutrino flavor conversion without flavor mixing
journal, March 2016

  • Chakraborty, S.; Hansen, R. S.; Izaguirre, I.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
  • DOI: 10.1088/1475-7516/2016/03/042

Non-Abelian Boltzmann equation for mixing and decoherence
journal, April 1993


Multi-azimuthal-angle instability for different supernova neutrino fluxes
journal, August 2014


Multi-angle calculation of the matter-neutrino resonance near an accretion disk
journal, February 2018


Neutrino–neutrino interactions and flavour mixing in dense matter
journal, November 2006

  • Balantekin, A. B.; Pehlivan, Y.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 1
  • DOI: 10.1088/0954-3899/34/1/004

Do many-particle neutrino interactions cause a novel coherent effect?
journal, October 2003


Symmetric and standard matter neutrino resonances above merging compact objects
journal, February 2016


Nonlinear neutrino oscillations in the expanding Universe
journal, February 1994


Oscillating neutrinos in the early Universe
journal, March 1994


Stepwise spectral swapping with three neutrino flavors
journal, April 2008


Collective neutrino oscillations with the halo effect in single-angle approximation
journal, November 2018

  • Cirigliano, Vincenzo; Paris, Mark; Shalgar, Shashank
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11
  • DOI: 10.1088/1475-7516/2018/11/019

Fast neutrino flavor conversion as oscillations in a quartic potential
journal, January 2018


New effects of non-standard self-interactions of neutrinos in a supernova
journal, May 2017

  • Das, Anirban; Dighe, Amol; Sen, Manibrata
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
  • DOI: 10.1088/1475-7516/2017/05/051

Spatial entanglement and massive neutrino oscillations produced by orbital electron capture decay
journal, October 2011


Entanglement of Formation of an Arbitrary State of Two Qubits
journal, March 1998


The Magnus expansion and some of its applications
journal, January 2009


Neutrino oscillations in dense neutrino gases
journal, August 1993


Self-induced conversion in dense neutrino gases: Pendulum in flavor space
journal, November 2006


General kinetic description of relativistic mixed neutrinos
journal, September 1993


Cosmological bounds on neutrino degeneracy improved by flavor oscillations
journal, June 2002


The link between integrability, level crossings and exact solution in quantum models
journal, December 2008

  • Owusu, H. K.; Wagh, K.; Yuzbashyan, E. A.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 3
  • DOI: 10.1088/1751-8113/42/3/035206

Spectral split in a prompt supernova neutrino burst: Analytic three-flavor treatment
journal, June 2008


Self-Refraction of Supernova Neutrinos: Mixed Spectra and Three-Flavor Instabilities
journal, May 2010


Nonstandard neutrino self-interactions in a supernova and fast flavor conversions
journal, February 2018


Imprints of neutrino-pair flavor conversions on nucleosynthesis in ejecta from neutron-star merger remnants
journal, December 2017


Collective three-flavor oscillations of supernova neutrinos
journal, June 2008


Neutrino oscillations above black hole accretion disks: Disks with electron-flavor emission
journal, October 2012


Fast neutrino conversions: Ubiquitous in compact binary merger remnants
journal, May 2017


Matter-neutrino resonance transitions above a neutron star merger remnant
journal, November 2016


Neutrino spectral split in core-collapse supernovae: A magnetic resonance phenomenon
journal, October 2011


Adiabaticity and spectral splits in collective neutrino transformations
journal, December 2007


Speed-up of neutrino transformations in a supernova environment
journal, August 2005


Numerical Study of the 8-32-Particle Eigenstates of the Pairing Hamiltonian
journal, January 1966


Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
journal, December 2007

  • Fogli, Gianluigi; Lisi, Eligio; Marrone, Antonio
  • Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 12
  • DOI: 10.1088/1475-7516/2007/12/010

Symmetries and algebraic methods in neutrino physics
journal, October 2018


Self-induced spectral splits in supernova neutrino fluxes
journal, October 2007


Multiple Spectral Splits of Supernova Neutrinos
journal, July 2009


Inner products in integrable Richardson-Gaudin models
journal, January 2017


Neutrono dispersion at finite temperature and density
journal, October 1988


Nonstandard neutrino interactions in supernovae
journal, November 2016

  • Stapleford, Charles J.; Väänänen, Daavid J.; Kneller, James P.
  • Physical Review D, Vol. 94, Issue 9
  • DOI: 10.1103/PhysRevD.94.093007

Neutrino Oscillations, Entanglement and Coherence: a Quantum Field Theory Study in real time
journal, December 2011

  • Wu, Jun; Hutasoit, Jimmy A.; Boyanovsky, Daniel
  • International Journal of Modern Physics A, Vol. 26, Issue 32
  • DOI: 10.1142/S0217751X11054954

Analysis of collective neutrino flavor transformation in supernovae
journal, June 2007


Entangled neutrino states in a toy model QFT
journal, June 2019


Symmetries of Hamiltonians describing systems with arbitrary spins
journal, May 2019

  • Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B.
  • International Journal of Modern Physics E, Vol. 28, Issue 05
  • DOI: 10.1142/S0218301319500320

Quadratic operator relations and Bethe equations for spin-1/2 Richardson–Gaudin models
journal, July 2018

  • Dimo, Claude; Faribault, Alexandre
  • Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 32
  • DOI: 10.1088/1751-8121/aaccb4

Physics of neutrino flavor transformation through matter–neutrino resonances
journal, January 2016


Neutrino Oscillations: Entanglement, Energy-Momentum Conservation and QFT
journal, February 2011


Computable measure of entanglement
journal, February 2002


Neutrino flavour transformation in supernovae
journal, September 2009


Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
journal, December 2007


Neutrino flavor evolution in binary neutron star merger remnants
journal, January 2017


Resonant neutrino oscillations and stellar collapse
journal, November 1987

  • Fuller, G. M.; Mayle, R. W.; Wilson, J. R.
  • The Astrophysical Journal, Vol. 322
  • DOI: 10.1086/165772

Neutrino spectral split in the exact many-body formalism
journal, October 2018


Entanglement in neutrino oscillations
journal, March 2009


Self-induced temporal instability from a neutrino antenna
journal, April 2016

  • Capozzi, Francesco; Dasgupta, Basudeb; Mirizzi, Alessandro
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04
  • DOI: 10.1088/1475-7516/2016/04/043

Invariants of collective neutrino oscillations
journal, September 2011


Entanglement of a Pair of Quantum Bits
journal, June 1997


Collective Neutrino Oscillations
journal, November 2010


Simple picture for neutrino flavor transformation in supernovae
journal, October 2007


Neutrino flavor conversion in a neutrino background: Single- versus multi-particle description
journal, July 2003


Gaudin models solver based on the correspondence between Bethe ansatz and ordinary differential equations
journal, June 2011


Self-maintained coherent oscillations in dense neutrino gases
journal, July 1995


Neutrino oscillations at high densities
journal, August 1992


Stringent constraints on cosmological neutrino-antineutrino asymmetries from synchronized flavor transformation
journal, July 2002


Fast neutrino flavor conversion: collective motion vs. decoherence
journal, September 2019

  • Capozzi, Francesco; Raffelt, Georg; Stirner, Tobias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
  • DOI: 10.1088/1475-7516/2019/09/002

Diagonalisation d'une classe d'hamiltoniens de spin
journal, January 1976


Collective neutrino flavor conversion: Recent developments
journal, July 2016


Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem
journal, June 2019

  • Patwardhan, Amol V.; Cervia, Michael J.; Balantekin, A. Baha
  • Physical Review D, Vol. 99, Issue 12
  • DOI: 10.1103/PhysRevD.99.123013

Fast neutrino flavor conversion: Roles of dense matter and spectrum crossing
journal, August 2018


Neutrino oscillations in the early universe: A real-time formulation
journal, October 2005


Uncovering the matter-neutrino resonance
journal, May 2016


Short baseline neutrino oscillations: When entanglement suppresses coherence
journal, September 2011


Refraction and oscillations of neutrinos in the early universe
journal, February 1991


Simple method of diagnosing fast flavor conversions of supernova neutrinos
journal, November 2018


Physics of synchronized neutrino oscillations caused by self-interactions
journal, February 2002


Spectral splits of neutrinos as a BCS-BEC crossover type phenomenon
journal, March 2017


Speed-up through entanglement—many-body effects in neutrino processes
journal, October 2003


Matter-neutrino resonance in a multiangle neutrino bulb model
journal, April 2018


On the Bethe ansatz for the Jaynes–Cummings–Gaudin model
journal, June 2007