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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 [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [3]; ORCiD logo [4]
  1. Univ. of Wisconsin, Madison, WI (United States)
  2. Univ. of Wisconsin, Madison, WI (United States); Univ. of California, Berkeley, CA (United States)
  3. Univ. of Wisconsin, Madison, WI (United States); Univ. of New South Wales, Sydney, NSW (Australia)
  4. San Diego State Univ., CA (United States)
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1593524
Alternate Identifier(s):
OSTI ID: 1568944; OSTI ID: 1782729
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. https://doi.org/10.1103/PhysRevD.100.083001
Cervia, Michael J., Patwardhan, Amol V., Balantekin, A. B., Coppersmith, S. N., and Johnson, Calvin W. Wed . "Entanglement and collective flavor oscillations in a dense neutrino gas". United States. https://doi.org/10.1103/PhysRevD.100.083001. https://www.osti.gov/servlets/purl/1593524.
@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 = {Wed Oct 02 00:00:00 EDT 2019},
month = {Wed Oct 02 00:00:00 EDT 2019}
}

Journal Article:

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Cited by: 34 works
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Entanglement in neutrino oscillations
text, January 2007


Spectral split in prompt supernova neutrino burst: Analytic three-flavor treatment
text, January 2008


The Magnus expansion and some of its applications
text, January 2008


Neutrino mass hierarchy and three-flavor spectral splits of supernova neutrinos
text, January 2010


Invariants of Collective Neutrino Oscillations
text, January 2011


Neutrino oscillations above black hole accretion disks: disks with electron-flavor emission
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Physics of neutrino flavor transformation through matter-neutrino resonances
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Flavor entanglement in neutrino oscillations in the wave packet description
text, January 2015


Self-induced neutrino flavor conversion without flavor mixing
text, January 2016


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text, January 2016


Spectral splits of neutrinos as a BCS-BEC crossover type phenomenon
text, January 2016


Matter Neutrino Resonance Transitions above a Neutron Star Merger Remnant
text, January 2016


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text, January 2017


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text, January 2018


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preprint, January 2018


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text, January 2019


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text, January 2005


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text, January 2006


Self-induced conversion in dense neutrino gases: Pendulum in flavour space
text, January 2006


Analysis of Collective Neutrino Flavor Transformation in Supernovae
text, January 2007


Cosmological bounds on neutrino degeneracy improved by flavor oscillations
text, January 2002


Speed-up through entanglement -- many-body effects in neutrino processes
text, January 2003


Non-Abelian Boltzmann Equation for Mixing and Decoherence
text, January 1992


Self-Maintained Coherent Oscillations in Dense Neutrino Gases
text, January 1995


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text, January 2007


Entanglement of a Pair of Quantum Bits
text, January 1997