Chiral vortical effect for an arbitrary spin

Huang, Xu -Guang; Sadofyev, Andrey V.

doi:10.1007/JHEP03(2019)084

Chiral vortical effect for an arbitrary spin

Journal Article · Thu Mar 14 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2019)084· OSTI ID:1525845

Huang, Xu -Guang ^[1]; Sadofyev, Andrey V. ^[2]

Fudan Univ., Shanghai (China)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The spin Hall effect of light attracted enormous attention in the literature due to the ongoing progress in developing of new optically active materials and metamaterials with non-trivial spin-orbit interaction. Recently, it was shown that rotating fermionic systems with relativistic massless spectrum may exhibit a 3-dimensional analogue of the spin Hall current — the chiral vortical effect (CVE). Here we show that CVE is a general feature of massless particles with an arbitrary spin. We derive the semi-classical equations of motion in rotating frame from the first principles and show how by coordinate transformation in the phase space it can be brought to the intuitive form proposed in [1]. Our finding clarifies the superficial discrepancies in different formulations of the chiral kinetic theory for rotating systems. We then generalize the chiral kinetic theory, originally introduced for fermions, to an arbitrary spin and study chirality current in a general rotating chiral medium. We stress that the higher-spin realizations of CVE can be in principle observed in various setups including table-top experiments on quantum optics.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: LDRD; USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1525845

Report Number(s):: LA-UR--18-24524

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (58)

A set of wave equations for massless fields which generalize weyl and maxwell equations Bacry, H. Il Nuovo Cimento A, Vol. 32, Issue 4 https://doi.org/10.1007/BF02730209	journal	April 1976
A PCAC puzzle: π0→γγ in the σ-model Bell, J. S.; Jackiw, R. Il Nuovo Cimento A, Vol. 60, Issue 1 https://doi.org/10.1007/BF02823296	journal	March 1969
Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions Hattori, Koichi; Huang, Xu-Guang Nuclear Science and Techniques, Vol. 28, Issue 2 https://doi.org/10.1007/s41365-016-0178-3	journal	January 2017
Spin factors and geometric phases in arbitrary dimensions Nowak, Maciej A.; Rho, Mannque; Zahed, Ismail Physics Letters B, Vol. 254, Issue 1-2 https://doi.org/10.1016/0370-2693(91)90402-C	journal	January 1991
On magnetostatics of chiral media Khaidukov, Z. V.; Kirilin, V. P.; Sadofyev, A. V. Nuclear Physics B, Vol. 934 https://doi.org/10.1016/j.nuclphysb.2018.07.009	journal	September 2018
Topological spin transport of photons: the optical Magnus effect and Berry phase Bliokh, K. Yu.; Bliokh, Yu. P. Physics Letters A, Vol. 333, Issue 3-4 https://doi.org/10.1016/j.physleta.2004.10.035	journal	December 2004
On consistency of hydrodynamic approximation for chiral media Avdoshkin, A.; Kirilin, V. P.; Sadofyev, A. V. Physics Letters B, Vol. 755 https://doi.org/10.1016/j.physletb.2016.01.048	journal	April 2016
Electrodynamics of dual superconducting chiral medium Li, Yang; Tuchin, Kirill Physics Letters B, Vol. 776 https://doi.org/10.1016/j.physletb.2017.11.063	journal	January 2018
Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report Kharzeev, D. E.; Liao, J.; Voloshin, S. A. Progress in Particle and Nuclear Physics, Vol. 88 https://doi.org/10.1016/j.ppnp.2016.01.001	journal	May 2016
Experimental signatures of the mixed axial–gravitational anomaly in the Weyl semimetal NbP Gooth, Johannes; Niemann, Anna C.; Meng, Tobias Nature, Vol. 547, Issue 7663 https://doi.org/10.1038/nature23005	journal	July 2017
Spin–orbit interactions of light Bliokh, K. Y.; Rodríguez-Fortuño, F. J.; Nori, F. Nature Photonics, Vol. 9, Issue 12 https://doi.org/10.1038/nphoton.2015.201	journal	November 2015
Chiral magnetic effect in ZrTe5 Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng Nature Physics, Vol. 12, Issue 6 https://doi.org/10.1038/nphys3648	journal	February 2016
Simulating Chiral Magnetic and Separation Effects with Spin-Orbit Coupled Atomic Gases Huang, Xu-Guang Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep20601	journal	February 2016
Electromagnetic fields and anomalous transports in heavy-ion collisions—a pedagogical review Huang, Xu-Guang Reports on Progress in Physics, Vol. 79, Issue 7 https://doi.org/10.1088/0034-4885/79/7/076302	journal	June 2016
Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium Bliokh, Konstantin Y. Journal of Optics A: Pure and Applied Optics, Vol. 11, Issue 9 https://doi.org/10.1088/1464-4258/11/9/094009	journal	August 2009
Classical chiral kinetic theory and anomalies in even space-time dimensions Dwivedi, Vatsal; Stone, Michael Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 2 https://doi.org/10.1088/1751-8113/47/2/025401	journal	December 2013
Quantal Phase Factors Accompanying Adiabatic Changes Berry, M. V. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802 https://doi.org/10.1098/rspa.1984.0023	journal	March 1984
Axial-Vector Vertex in Spinor Electrodynamics Adler, Stephen L. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2426	journal	January 1969
Spin-orbit interaction of a photon in an inhomogeneous medium Liberman, V. S.; Zel’dovich, B. Ya. Physical Review A, Vol. 46, Issue 8 https://doi.org/10.1103/PhysRevA.46.5199	journal	October 1992
Landau levels for an electromagnetic wave Zyuzin, Vladimir A. Physical Review A, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevA.96.043830	journal	October 2017
Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects Sundaram, Ganesh; Niu, Qian Physical Review B, Vol. 59, Issue 23 https://doi.org/10.1103/PhysRevB.59.14915	journal	June 1999
Strain-induced chiral magnetic effect in Weyl semimetals Cortijo, Alberto; Kharzeev, Dmitri; Landsteiner, Karl Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/PhysRevB.94.241405	journal	December 2016
Chiral magnetic effect of light Hayata, Tomoya Physical Review B, Vol. 97, Issue 20 https://doi.org/10.1103/PhysRevB.97.205102	journal	May 2018
Spontaneous topological transitions of electromagnetic fields in spatially inhomogeneous C P -odd domains Tuchin, Kirill Physical Review C, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevC.94.064909	journal	December 2016
Impact of domain walls on the chiral magnetic effect in hot QCD matter Tuchin, Kirill Physical Review C, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevC.97.064914	journal	June 2018
Quantum field theory at finite temperature in a rotating system Vilenkin, Alexander Physical Review D, Vol. 21, Issue 8 https://doi.org/10.1103/PhysRevD.21.2260	journal	April 1980
Inertial effects of a Dirac particle Hehl, Friedrich W.; Ni, Wei-Tou Physical Review D, Vol. 42, Issue 6 https://doi.org/10.1103/PhysRevD.42.2045	journal	September 1990
Fermat principle for spinning light Duval, C.; Horváth, Z.; Horváthy, P. A. Physical Review D, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevD.74.021701	journal	July 2006
Notes on chiral hydrodynamics within the effective theory approach Sadofyev, A. V.; Shevchenko, V. I.; Zakharov, V. I. Physical Review D, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevD.83.105025	journal	May 2011
Kinetic theory with Berry curvature from quantum field theories Son, Dam Thanh; Yamamoto, Naoki Physical Review D, Vol. 87, Issue 8 https://doi.org/10.1103/PhysRevD.87.085016	journal	April 2013
Classical version of the non-Abelian gauge anomaly Stone, Michael; Dwivedi, Vatsal Physical Review D, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevD.88.045012	journal	August 2013
Chiral fermions as classical massless spinning particles Duval, C.; Horváthy, P. A. Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.045013	journal	February 2015
Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma Jiang, Yin; Huang, Xu-Guang; Liao, Jinfeng Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.071501	journal	October 2015
Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly Hirono, Yuji; Kharzeev, Dmitri E.; Yin, Yi Physical Review D, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevD.92.125031	journal	December 2015
Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability Yamamoto, Naoki Physical Review D, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevD.93.065017	journal	March 2016
Analogy between rotation and density for Dirac fermions in a magnetic field Chen, Hao-Lei; Fukushima, Kenji; Huang, Xu-Guang Physical Review D, Vol. 93, Issue 10 https://doi.org/10.1103/PhysRevD.93.104052	journal	May 2016
Anatomy of the chiral magnetic effect in and out of equilibrium Kharzeev, Dmitri; Stephanov, Mikhail; Yee, Ho-Ung Physical Review D, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevD.95.051901	journal	March 2017
Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates Dayi, Ömer F.; Kilinçarslan, Eda; Yunt, Elif Physical Review D, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevD.95.085005	journal	April 2017
Relativistic chiral kinetic theory from quantum field theories Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.091901	journal	May 2017
Anomalous transport and generalized axial charge Kirilin, Vladimir P.; Sadofyev, Andrey V. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.016019	journal	July 2017
Worldline construction of a covariant chiral kinetic theory Mueller, Niklas; Venugopalan, Raju Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.016023	journal	July 2017
Chiral vortical effect for bosons Avkhadiev, Artur; Sadofyev, Andrey V. Physical Review D, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevD.96.045015	journal	August 2017
Photonic chiral vortical effect Yamamoto, Naoki Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.051902	journal	September 2017
Complete and consistent chiral transport from Wigner function formalism Huang, Anping; Shi, Shuzhe; Jiang, Yin Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.036010	journal	August 2018
Spin Hall effect of gravitational waves Yamamoto, Naoki Physical Review D, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevD.98.061701	journal	September 2018
Hydrodynamics with Triangle Anomalies Son, Dam T.; Surówka, Piotr Physical Review Letters, Vol. 103, Issue 19 https://doi.org/10.1103/PhysRevLett.103.191601	journal	November 2009
Vacuum Friction in Rotating Particles Manjavacas, A.; García de Abajo, F. J. Physical Review Letters, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevLett.105.113601	journal	September 2010
Gravitational Anomaly and Transport Phenomena Landsteiner, Karl; Megías, Eugenio; Pena-Benitez, Francisco Physical Review Letters, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevLett.107.021601	journal	July 2011
Self-Consistent Evolution of Magnetic Fields and Chiral Asymmetry in the Early Universe Boyarsky, Alexey; Fröhlich, Jürg; Ruchayskiy, Oleg Physical Review Letters, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevLett.108.031301	journal	January 2012
Rotational Quantum Friction Zhao, Rongkuo; Manjavacas, Alejandro; García de Abajo, F. Javier Physical Review Letters, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevLett.109.123604	journal	September 2012
Chiral Kinetic Theory Stephanov, M. A.; Yin, Y. Physical Review Letters, Vol. 109, Issue 16 https://doi.org/10.1103/PhysRevLett.109.162001	journal	October 2012
Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids Son, Dam Thanh; Yamamoto, Naoki Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/PhysRevLett.109.181602	journal	November 2012
Berry Curvature and Four-Dimensional Monopoles in the Relativistic Chiral Kinetic Equation Chen, Jiunn-Wei; Pu, Shi; Wang, Qun Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.262301	journal	June 2013
Lorentz Invariance in Chiral Kinetic Theory Chen, Jing-Yuan; Son, Dam T.; Stephanov, Mikhail A. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.182302	journal	October 2014
Quantized Chiral Magnetic Current from Reconnections of Magnetic Flux Hirono, Yuji; Kharzeev, Dmitri E.; Yin, Yi Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.172301	journal	October 2016
Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly Joyce, M.; Shaposhnikov, M. Physical Review Letters, Vol. 79, Issue 7 https://doi.org/10.1103/PhysRevLett.79.1193	journal	August 1997
Hall Effect of Light Onoda, Masaru; Murakami, Shuichi; Nagaosa, Naoto Physical Review Letters, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevLett.93.083901	journal	August 2004
Berry phase effects on electronic properties Xiao, Di; Chang, Ming-Che; Niu, Qian Reviews of Modern Physics, Vol. 82, Issue 3 https://doi.org/10.1103/RevModPhys.82.1959	journal	July 2010

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