Entanglement in three-flavor collective neutrino oscillations

Siwach, Pooja; Suliga, Anna M.; Balantekin, A. Baha

doi:10.1103/PhysRevD.107.023019

Title: Entanglement in three-flavor collective neutrino oscillations

Journal Article · Tue Jan 24 00:00:00 EST 2023 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.107.023019· OSTI ID:1916499

;

Extreme conditions present in the interiors of the core-collapse supernovae make neutrino-neutrino interactions not only feasible but dominant in specific regions, leading to the nonlinear evolution of the neutrino flavor. Results obtained when such collective neutrino oscillations are treated in the mean-field approximation deviate from the results using the many-body picture because of the ignored quantum correlations. We present the first three-flavor many-body calculations of the collective neutrino oscillations. The entanglement is quantified in terms of the entanglement entropy and the components of the polarization vector. We propose a qualitative measure of entanglement in terms of flavor-lepton number conserved quantities. We find that in the cases considered in the present work, the entanglement can be underestimated in the two-flavor approximation. The dependence of the entanglement on mass ordering is also investigated. We also explore the mixing of mass eigenstates in different mass orderings.

View Journal Article

Cite

Export

Save

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0019465; FG02-00ER41132; PHY1806368; PHY-2020275; PHY-2108339

OSTI ID:: 1916499

Alternate ID(s):: OSTI ID: 1916480

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 107 Journal Issue: 2; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (75)

New Developments in Flavor Evolution of a Dense Neutrino Gas Tamborra, Irene; Shalgar, Shashank Annual Review of Nuclear and Particle Science, Vol. 71, Issue 1 https://doi.org/10.1146/annurev-nucl-102920-050505	journal	September 2021
Neutrino spectra evolution during protoneutron star deleptonization Fischer, T.; Martínez-Pinedo, G.; Hempel, M. Physical Review D, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevD.85.083003	journal	April 2012
Simulation of collective neutrino oscillations on a quantum computer Hall, Benjamin; Roggero, Alessandro; Baroni, Alessandro Physical Review D, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevD.104.063009	journal	September 2021
Determining the neutrino mass ordering and oscillation parameters with KM3NeT/ORCA Aiello, S.; Albert, A.; Alves Garre, S. The European Physical Journal C, Vol. 82, Issue 1 https://doi.org/10.1140/epjc/s10052-021-09893-0	journal	January 2022
Neutrino-neutrino scattering and matter-enhanced neutrino flavor transformation in supernovae Qian, Yong-Zhong; Fuller, George M. Physical Review D, Vol. 51, Issue 4 https://doi.org/10.1103/PhysRevD.51.1479	journal	February 1995
Physical, numerical, and computational challenges of modeling neutrino transport in core-collapse supernovae Mezzacappa, Anthony; Endeve, Eirik; Messer, O. E. Bronson Living Reviews in Computational Astrophysics, Vol. 6, Issue 1 https://doi.org/10.1007/s41115-020-00010-8	journal	November 2020
Simulation of coherent nonlinear neutrino flavor transformation in the supernova environment: Correlated neutrino trajectories Duan, Huaiyu; Fuller, George M.; Carlson, J. Physical Review D, Vol. 74, Issue 10 https://doi.org/10.1103/PhysRevD.74.105014	journal	November 2006
Neutrino mass hierarchy and three-flavor spectral splits of supernova neutrinos Dasgupta, Basudeb; Mirizzi, Alessandro; Tamborra, Irene Physical Review D, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevD.81.093008	journal	May 2010
Spectral splits and entanglement entropy in collective neutrino oscillations Patwardhan, Amol V.; Cervia, Michael J.; Balantekin, A. B. Physical Review D, Vol. 104, Issue 12 https://doi.org/10.1103/PhysRevD.104.123035	journal	December 2021
Geuine tripartite entanglement in three-flavor neutrino oscillations Li, Yu-Wen; Li, Li-Juan; Song, Xue-Ke The European Physical Journal C, Vol. 82, Issue 9 https://doi.org/10.1140/epjc/s10052-022-10759-2	journal	September 2022
Neutrino oscillations and stellar collapse Wolfenstein, L. Physical Review D, Vol. 20, Issue 10 https://doi.org/10.1103/PhysRevD.20.2634	journal	November 1979
Exact solution of multiangle quantum many-body collective neutrino-flavor oscillations Rrapaj, Ermal Physical Review C, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevC.101.065805	journal	June 2020
Low-energy spectral features of supernova (anti)neutrinos in inverted hierarchy Fogli, G. L.; Lisi, E.; Marrone, A. Physical Review D, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevD.78.097301	journal	November 2008
Neutrino–neutrino interactions and flavour mixing in dense matter Balantekin, A. B.; Pehlivan, Y. Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 1 https://doi.org/10.1088/0954-3899/34/1/004	journal	November 2006
Quantum Key Distribution with Higher-Order Alphabets Using Spatially Encoded Qudits Walborn, S. P.; Lemelle, D. S.; Almeida, M. P. Physical Review Letters, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevLett.96.090501	journal	March 2006
Neutrino mass and mass ordering: no conclusive evidence for normal ordering Gariazzo, Stefano; Gerbino, Martina; Brinckmann, Thejs Journal of Cosmology and Astroparticle Physics, Vol. 2022, Issue 10 https://doi.org/10.1088/1475-7516/2022/10/010	journal	October 2022
Do many-particle neutrino interactions cause a novel coherent effect? Friedland, Alexander; Lunardini, Cecilia Journal of High Energy Physics, Vol. 2003, Issue 10 https://doi.org/10.1088/1126-6708/2003/10/043	journal	October 2003
Entanglement and collective flavor oscillations in a dense neutrino gas Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B. Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevD.100.083001	journal	October 2019
Neutrino oscillations in matter Wolfenstein, L. Physical Review D, Vol. 17, Issue 9 https://doi.org/10.1103/PhysRevD.17.2369	journal	May 1978
Triangle Measure of Tripartite Entanglement Xie, Songbo; Eberly, Joseph H. Physical Review Letters, Vol. 127, Issue 4 https://doi.org/10.1103/PhysRevLett.127.040403	journal	July 2021
Role of non-Gaussian quantum fluctuations in neutrino entanglement Lacroix, Denis; Balantekin, A. B.; Cervia, Michael J. Physical Review D, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevD.106.123006	journal	December 2022
Collective neutrino oscillations with tensor networks using a time-dependent variational principle Cervia, Michael J.; Siwach, Pooja; Patwardhan, Amol V. Physical Review D, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevD.105.123025	journal	June 2022
Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis Ciavarella, Anthony; Klco, Natalie; Savage, Martin J. Physical Review D, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevD.103.094501	journal	May 2021
General kinetic description of relativistic mixed neutrinos Sigl, G.; Raffelt, G. Nuclear Physics B, Vol. 406, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90175-O	journal	September 1993
Entanglement and many-body effects in collective neutrino oscillations Roggero, Alessandro Physical Review D, Vol. 104, Issue 10 https://doi.org/10.1103/PhysRevD.104.103016	journal	November 2021
Spectral split in a prompt supernova neutrino burst: Analytic three-flavor treatment Dasgupta, Basudeb; Dighe, Amol; Mirizzi, Alessandro Physical Review D, Vol. 77, Issue 11 https://doi.org/10.1103/PhysRevD.77.113007	journal	June 2008
Self-Refraction of Supernova Neutrinos: Mixed Spectra and Three-Flavor Instabilities Friedland, Alexander Physical Review Letters, Vol. 104, Issue 19 https://doi.org/10.1103/PhysRevLett.104.191102	journal	May 2010
Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae O’Connor, Evan P.; Couch, Sean M. The Astrophysical Journal, Vol. 865, Issue 2 https://doi.org/10.3847/1538-4357/aadcf7	journal	September 2018
Normal-mode analysis for collective neutrino oscillations Airen, Sagar; Capozzi, Francesco; Chakraborty, Sovan Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 12 https://doi.org/10.1088/1475-7516/2018/12/019	journal	December 2018
Core-collapse supernova explosion theory Burrows, A.; Vartanyan, D. Nature, Vol. 589, Issue 7840 https://doi.org/10.1038/s41586-020-03059-w	journal	January 2021
Supernova neutrino three-flavor evolution with dominant collective effects Fogli, Gianluigi; Lisi, Eligio; Marrone, Antonio Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 04 https://doi.org/10.1088/1475-7516/2009/04/030	journal	April 2009
Revival of a stalled supernova shock by neutrino heating Bethe, H. A.; Wilson, J. R. The Astrophysical Journal, Vol. 295 https://doi.org/10.1086/163343	journal	August 1985
Measurement of the Rate of $ν_{e} + d \to p + p + e^{-}$ Interactions Produced by ${}^{8}B$ Solar Neutrinos at the Sudbury Neutrino Observatory Ahmad, Q. R.; Allen, R. C.; Andersen, T. C. Physical Review Letters, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevLett.87.071301	journal	July 2001
Supernova neutrinos and antineutrinos: ternary luminosity diagram and spectral split patterns Fogli, Gianluigi; Lisi, Eligio; Marrone, Antonio Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1475-7516/2009/10/002	journal	October 2009
THREE-DIMENSIONAL HYDRODYNAMIC CORE-COLLAPSE SUPERNOVA SIMULATIONS FOR AN 11.2 M _☉ STAR WITH SPECTRAL NEUTRINO TRANSPORT Takiwaki, Tomoya; Kotake, Kei; Suwa, Yudai The Astrophysical Journal, Vol. 749, Issue 2 https://doi.org/10.1088/0004-637X/749/2/98	journal	March 2012
Explosion mechanism, neutrino burst and gravitational wave in core-collapse supernovae Kotake, Kei; Sato, Katsuhiko; Takahashi, Keitaro Reports on Progress in Physics, Vol. 69, Issue 4 https://doi.org/10.1088/0034-4885/69/4/R03	journal	March 2006
Multiple Spectral Splits of Supernova Neutrinos Dasgupta, Basudeb; Dighe, Amol; Raffelt, Georg G. Physical Review Letters, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevLett.103.051105	journal	July 2009
Violations of Local Realism by Two Entangled $N$ -Dimensional Systems Are Stronger than for Two Qubits Kaszlikowski, Dagomir; Gnaciński, Piotr; Żukowski, Marek Physical Review Letters, Vol. 85, Issue 21 https://doi.org/10.1103/PhysRevLett.85.4418	journal	November 2000
Neutrono dispersion at finite temperature and density Nötzold, Dirk; Raffelt, Georg Nuclear Physics B, Vol. 307, Issue 4 https://doi.org/10.1016/0550-3213(88)90113-7	journal	October 1988
Review of Particle Physics Zyla, P. A.; Barnett, R. M.; Beringer, J. Progress of Theoretical and Experimental Physics, Vol. 2020, Issue 8 https://doi.org/10.1093/ptep/ptaa104	journal	August 2020
Three flavor revolution in fast pairwise neutrino conversion Shalgar, Shashank; Tamborra, Irene Physical Review D, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRevD.104.023011	journal	July 2021
Bell Inequalities for Arbitrarily High-Dimensional Systems Collins, Daniel; Gisin, Nicolas; Linden, Noah Physical Review Letters, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevLett.88.040404	journal	January 2002
Dynamics of entanglement and quantum states transitions in spin-qutrit systems under classical dephasing and the relevance of the initial state Tsokeng, Arthur Tsamouo; Tchoffo, Martin; Fai, Lukong Cornelius Journal of Physics Communications, Vol. 2, Issue 3 https://doi.org/10.1088/2399-6528/aab51b	journal	March 2018
Symmetries of Hamiltonians describing systems with arbitrary spins Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B. International Journal of Modern Physics E, Vol. 28, Issue 05 https://doi.org/10.1142/S0218301319500320	journal	May 2019
Entanglement polygon inequality in qubit systems Qian, Xiao-Feng; Alonso, Miguel A.; Eberly, J. H. New Journal of Physics, Vol. 20, Issue 6 https://doi.org/10.1088/1367-2630/aac3be	journal	June 2018
Remarks on the Unified Model of Elementary Particles Maki, Ziro; Nakagawa, Masami; Sakata, Shoichi Progress of Theoretical Physics, Vol. 28, Issue 5 https://doi.org/10.1143/PTP.28.870	journal	November 1962
Quantum studies of neutrinos on IBMQ processors Jha, Abhishek Kumar; Chatla, Akshay The European Physical Journal Special Topics, Vol. 231, Issue 2 https://doi.org/10.1140/epjs/s11734-021-00358-9	journal	December 2021
Equation of state in the gravitational collapse of stars Bethe, H. A.; Brown, G. E.; Applegate, J. Nuclear Physics A, Vol. 324, Issue 2-3 https://doi.org/10.1016/0375-9474(79)90596-7	journal	July 1979
Neutrino flavour transformation in supernovae Duan, H.; Kneller, J. P. Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 11 https://doi.org/10.1088/0954-3899/36/11/113201	journal	September 2009
Construction and analysis of a simplified many-body neutrino model Friedland, Alexander; McKellar, Bruce H. J.; Okuniewicz, Ivona Physical Review D, Vol. 73, Issue 9 https://doi.org/10.1103/PhysRevD.73.093002	journal	May 2006
Prospects for simulating a qudit-based model of $(1 + 1) D$ scalar QED Gustafson, Erik J. Physical Review D, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevD.103.114505	journal	June 2021
Neutrino physics with JUNO An, Fengpeng; An, Guangpeng; An, Qi Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 3 https://doi.org/10.1088/0954-3899/43/3/030401	journal	February 2016
Combined sensitivity to the neutrino mass ordering with JUNO, the IceCube Upgrade, and PINGU Aartsen, M. G.; Ackermann, M.; Adams, J. Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.032006	journal	February 2020
Neutrino magnetic moment, $C P$ violation, and flavor oscillations in matter Pehlivan, Y.; Balantekin, A. B.; Kajino, Toshitaka Physical Review D, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevD.90.065011	journal	September 2014
What can be learned from a future supernova neutrino detection? Horiuchi, Shunsaku; Kneller, James P. Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 4 https://doi.org/10.1088/1361-6471/aaa90a	journal	March 2018
Resonant neutrino oscillations and stellar collapse Fuller, G. M.; Mayle, R. W.; Wilson, J. R. The Astrophysical Journal, Vol. 322 https://doi.org/10.1086/165772	journal	November 1987
Neutrino spectral split in the exact many-body formalism Birol, Savas; Pehlivan, Y.; Balantekin, A. B. Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.083002	journal	October 2018
Collective neutrino oscillations on a quantum computer Yeter-Aydeniz, Kübra; Bangar, Shikha; Siopsis, George Quantum Information Processing, Vol. 21, Issue 3 https://doi.org/10.1007/s11128-021-03348-x	journal	February 2022
Invariants of collective neutrino oscillations Pehlivan, Y.; Balantekin, A. B.; Kajino, Toshitaka Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.065008	journal	September 2011
Mu‐ and Tau‐Neutrino Spectra Formation in Supernovae Raffelt, Georg G. The Astrophysical Journal, Vol. 561, Issue 2 https://doi.org/10.1086/323379	journal	November 2001
Collective Neutrino Oscillations Duan, Huaiyu; Fuller, George M.; Qian, Yong-Zhong Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.012809.104524	journal	November 2010
Neutrino flavor conversion in a neutrino background: Single- versus multi-particle description Friedland, Alexander; Lunardini, Cecilia Physical Review D, Vol. 68, Issue 1 https://doi.org/10.1103/PhysRevD.68.013007	journal	July 2003
Review of Particle Physics Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8 https://doi.org/10.1093/ptep/ptac097	journal	August 2022
Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states Illa, Marc; Savage, Martin J. Physical Review A, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevA.106.052605	journal	November 2022
Flavor Evolution of the Neutronization Neutrino Burst From an O-Ne-Mg Core-Collapse Supernova Duan, Huaiyu; Fuller, George M.; Carlson, J. Physical Review Letters, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevLett.100.021101	journal	January 2008
Stellar weak interaction rates for intermediate-mass nuclei. II - A = 21 to A = 60 Fuller, G. M.; Fowler, W. A.; Newman, M. J. The Astrophysical Journal, Vol. 252 https://doi.org/10.1086/159597	journal	January 1982
Shock propagation in supernovae: Concept of net ram pressure Cooperstein, J.; Bethe, H. A.; Brown, G. E. Nuclear Physics A, Vol. 429, Issue 3 https://doi.org/10.1016/0375-9474(84)90696-1	journal	November 1984
The Hydrodynamic Behavior of Supernovae Explosions Colgate, Stirling A.; White, Richard H. The Astrophysical Journal, Vol. 143 https://doi.org/10.1086/148549	journal	January 1966
Collective neutrino flavor conversion: Recent developments Chakraborty, Sovan; Hansen, Rasmus; Izaguirre, Ignacio Nuclear Physics B, Vol. 908 https://doi.org/10.1016/j.nuclphysb.2016.02.012	journal	July 2016
Physics of Core-Collapse Supernovae in Three Dimensions: A Sneak Preview Janka, Hans-Thomas; Melson, Tobias; Summa, Alexander Annual Review of Nuclear and Particle Science, Vol. 66, Issue 1 https://doi.org/10.1146/annurev-nucl-102115-044747	journal	October 2016
Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem Patwardhan, Amol V.; Cervia, Michael J.; Balantekin, A. Baha Physical Review D, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevD.99.123013	journal	June 2019
Neutrino masses and their ordering: global data, priors and models Gariazzo, S.; Archidiacono, M.; de Salas, P. F. Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 03 https://doi.org/10.1088/1475-7516/2018/03/011	journal	March 2018
Three flavor neutrino conversions in supernovae: slow & fast instabilities Chakraborty, Madhurima; Chakraborty, Sovan Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 01 https://doi.org/10.1088/1475-7516/2020/01/005	journal	January 2020
Neutrino masses and mass hierarchy: evidence for the normal hierarchy Jimenez, Raul; Pena-Garay, Carlos; Short, Kathleen Journal of Cosmology and Astroparticle Physics, Vol. 2022, Issue 09 https://doi.org/10.1088/1475-7516/2022/09/006	journal	September 2022
Speed-up through entanglement—many-body effects in neutrino processes Bell, Nicole F.; Rawlinson, Andrew A.; Sawyer, R. F. Physics Letters B, Vol. 573 https://doi.org/10.1016/j.physletb.2003.08.035	journal	October 2003

Similar Records

Entanglement and correlations in fast collective neutrino flavor oscillations

Journal Article · Wed Aug 24 00:00:00 EDT 2022 · Physical Review. D. · OSTI ID:1916499

Roggero, Alessandro; Rrapaj, Ermal; Xiong, Zewei

Role of non-Gaussian quantum fluctuations in neutrino entanglement

Journal Article · Tue Dec 06 00:00:00 EST 2022 · Physical Review. D. · OSTI ID:1916499

Lacroix, Denis; Balantekin, A. B.; Cervia, Michael J.; +2 more

Entanglement and collective flavor oscillations in a dense neutrino gas

Journal Article · Wed Oct 02 00:00:00 EDT 2019 · Physical Review D · OSTI ID:1916499

Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B.; +2 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Many-body techniques
Particle astrophysics
Quantum correlations in quantum information
Quantum entanglement
Quantum information theory
Neutrinos

Title: Entanglement in three-flavor collective neutrino oscillations

Citation Formats

References (75)

Similar Records

Related Subjects