Prof. Eric Akkermans

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Selected Publications

Compuscripts

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Publications by Themes

Disordered systems
  1. E. Akkermans and R. Maynard, Chains of random impedances, J. Physique (France) 45, 1549–1557 (1984).
  2. R. Maynard and E. Akkermans, Thermal conductance and giant fluctuations in one-dimensional disordered systems, Phys. Rev. B 32, 5440–5442 (1985).
  3. E. Akkermans and R. Maynard, Weak localization and anharmonicity of phonons, Phys. Rev. B 32, 7850–7862 (1985).
  4. E. Akkermans, O. Laborde, J. C. Villegier, Superconducting properties and phase locking transition in NbN films, Solid State Commun. 56, 1, 87–89 (1985).
  5. M. J. Stephen and E. Akkermans, Transport properties of an incommensurate system, Phys. Rev. B 33, 3837–3843 (1986).

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Coherent backscattering and weak localization of waves
  1. E. Akkermans and R. Maynard, Weak localization of waves, J. Physique Lett. (France) 46, L1045–1053 (1985).
  2. E. Akkermans, P. E. Wolf and R. Maynard, Coherent backscattering of light by disordered media: Analysis of the peak line shape, Phys. Rev. Lett. 56, 1471–1474 (1986).
  3. R. Maynard, E. Akkermans and P. E. Wolf, Coherent backscattering and weak localization phenomena in optics and in metals: Analogies and differences, in “Chance and matter” Les Houches Summer School (session XLVI), North Holland (1986).
  4. E. Akkermans, G. Maret, R. Maynard and P. E. Wolf, Retrodiffusion coherente de la lumiere par un milieu desordonne, Images de la Physique, Editions du CNRS, 7–11 (1987).
  5. P. E. Wolf, E. Akkermans, G. Maret and R. Maynard, L’art subtil de pieger la lumiere, La Recherche 193, 1396–1398 (1987).
  6. P. E. Wolf, G. Maret, E. Akkermans and R. Maynard, Optical coherent backscattering by random media: An experimental study, J. de Physique (France) 49, 63–75 (1988).
  7. E. Akkermans, P. E. Wolf, R. Maynard and G. Maret, Theoretical study of the coherent backscattering of light by disordered media, J. de Physique (France) 49, 77–98 (1988).
  8. D. Bicout, E. Akkermans and R. Maynard , Dynamical correlations for multiple light scattering in laminar flows, J. de Physique (France) I 1, 471–491 (1991).
  9. E. Akkermans and G. Montambaux, Coherent multiple scattering in disordered media, in Advance study institute on “Wave and imaging through complex media”, P. Sebbah (ed.), Kluwer (2001).
  10. E. Akkermans and G. Montambaux, Coherent effects in the multiple scattering of light in random media, in Advanced study institute on “Waves scattering in complex media: from theory to applications”, B. van Tiggelen and S. E. Skipetrov (eds.), Kluwer (2003).
  11. E. Akkermans and G. Montambaux, Mesoscopic physics of photons, J. Opt. Soc. Am. B 21, 101–112 (2004).
  12. S. Fiebig, C. M. Aegerter, W. Buhrer, M. Storzer, E. Akkermans, G. Montambaux and G. Maret, Conservation of energy in coherent backscattering of light, Europhys. Lett. 81, 64004 (2008).

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Electronic quantum mesoscopic physics
  1. P. A. Mello, E. Akkermans and B. Shapiro, Macroscopic approach to correlations in the electronic transmission and reflection from disordered conductors, Phys. Rev. Lett. 61, 459–462 (1988).
  2. E. Akkermans, Universal fluctuations and long range correlations for wave propagation in random media, Physics A 157, 101–110 (1989).
  3. E. Akkermans and B. Shapiro, Fluctuations in the diamagnetic response of disordered metals, Europhys. Lett. 11, 467–472 (1990).
  4. E. Akkermans, A. Auerbach, J. E. Avron and B. Shapiro, Relation between persistent currents and the scattering matrix, Phys. Rev. Lett. 66, 76–79 (1991).
  5. E. Akkermans, Scattering phase shift analysis of persistent currents in mesoscopic Aharonov-Bohm geometries, Europhys. Lett. 15, 709–714 (1991).
  6. E. Akkermans and G. Montambaux, Conductance and statistical properties of metallic spectra, Phys. Rev. Lett. 68, 642–645 (1992).
  7. E. Akkermans, The Thouless formula: from disordered to chaotic spectra, Physica A 200, 530–537 (1993).
  8. E. Akkermans and D. Gangardt, Statistical properties of the spectrum of many body systems, in Proceedings of the Rencontres de Moriond, Correlated fermions and transport in Mesoscopic systems, T. Martin, G. Montambaux and J. Tran Than Van editors (1996).
  9. E. Akkermans, Twisted boundary conditions and transport in disordered systems, J. Math. Phys. 38, 1781–1793 (1997).
  10. E. Akkermans and J. L. Pichard, Level curvatures, spectral statistics and scaling for interacting particles, Eur. Phys. J. B 1, 223–227 (1998)
  11. E. Akkermans, A. Comtet, J. Desbois, G. Montambaux and C. Texier, Spectral determinant on quantum graphs, Annals of Physics 284, 10–51 (2000), arXiv:cond-mat/9911183.
  12. G. Montambaux and E. Akkermans, Nonexponential quasiparticle decay and phase relaxation in low dimensional conductors, Phys. Rev. Lett. 95, 016403 (2005), arXiv:cond-mat/0404361.
  13. E. Akkermans, Transmission of information through mesoscopic scattering systems, Euro. Phys. J. E 28, 199–204 (2009).

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Topological features in low dimensional systems
  1. E. Akkermans, J. Avron, R. Narevich and R. Seiler, Boundary conditions for bulk and edge states in quantum Hall systems, Eur. Phys. J. B 1, 117–121 (1998), arXiv:cond-mat/9612063.
  2. E. Akkermans and J. L. Pichard, Level curvatures, spectral statistics and scaling for interacting particles, Eur. Phys. J. B 1, 223–227 (1998).
  3. D. Spehner, R. Narevich and E. Akkermans, Semi-classical spectrum of integrable systems in a magnetic field, J. Phys. A 31, 6531–6545 (1998), arXiv:cond-mat/9708206.
  4. E. Akkermans and R. Narevich, Chiral boundary conditions for quantum Hall systems, Philosophical Magazine B 77, 1097–1105 (1998), arXiv:cond-mat/9709322.
  5. R. Narevich, D. Spehner and E. Akkermans, Heat kernel of integrable billiards in a magnetic field, J. Phys. A 31, 4277–4287 (1998), arXiv:cond-mat/9708209.
  6. E. Akkermans and R. Narevich, Topological features of the magnetic response in inhomogeneous magnetic fields, in Proceedings of the workshop on Supersymmetry and Trace Formulae : Chaos and Disorder, I. V. Lerner, J. P. Keating and D. E. Khmelnitskii (eds.), Kluwer Academic, Plenum Publishers, 315–325 (1999).
  7. E. Akkermans and K. Mallick, Geometrical description of vortices in Ginzburg-Landau billiards, in Topological Aspects of low dimensional systems, Les Houches Summer School (session LXIX), Springer (1999).
  8. E. Akkermans and S. Ghosh, Vortex nucleation through edge states in finite Bose-Einstein condensates, J. Phys. B 37, 127–139 (2004).

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Vortices in mesoscopic superconductors
  1. E. Akkermans and K. Mallick, Vortices in Ginzburg-Landau billiards, J. Phys. A 32, 7133-7143 (1999), arXiv:cond-mat/9812275.
  2. E. Akkermans and K. Mallick, Magnetization of mesoscopic superconducting disks, Physica C 332, 250-254 (2000), arXiv:cond-mat/0001219.
  3. E. Akkermans, D. Gangardt and K. Mallick, A dual point description of mesoscopic superconductors, Phys. Rev. B 62, 12427-12439 (2000), arXiv:cond-mat/0005542.
  4. E. Akkermans, D. Gangardt and K. Mallick, Mesoscopic superconductors in the London limit: equilibrium properties and metastability, Phys.Rev. B 63, 064523 (2001), arXiv:cond-mat/0008289.
  5. E. Akkermans and K. Mallick, Geometrical description of vortices in Ginzburg-Landau billiards, in Topological Aspects of low dimensional systems, Les Houches Summer School (session LXIX), Springer (1999).
  6. N. Gov, E. Akkermans, Hybridization scheme for the quasiparticle spectrum of superfluid 4He, Physica B 263–264, 367–369 (1999).

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Mesoscopic physics of photons and cold atoms
  1. E. Akkermans and G. Montambaux, Mesoscopic physics of photons, J. Opt. Soc. Am. B 21, 101–112 (2004).
  2. C. A. Muller, Ch. Miniatura, E. Akkermans and G. Montambaux, Mesoscopic scattering of spin s particles, J. Phys. A 38, 7807–7830 (2005), arXiv:cond-mat/0504175.
  3. E. Akkermans, Ch. Miniatura and C. A. Muller, Phase coherence times in the multiple scattering of photons by cold atoms, arXiv:cond-mat/0206298.
  4. A. Gero, E. Akkermans, Effect of superradiance on transport of diffusing photons in cold atomic gases, Phys. Rev. Lett. 96, 093601 (2006).
  5. O. Assaf and E. Akkermans, Intensity Correlations and Mesoscopic Fluctuations of Diffusing Photons in Cold Atoms, Phys. Rev. Lett. 98, 083601 (2007).
  6. A. Gero and E. Akkermans, Superradiance and multiple scattering of photons in atomic gases, Phys. Rev. A 75, 053413 (2007).
  7. E. Akkermans and O. Assaf, Multiple scattering of photons by a cold atomic gas, J. Mod. Opt. 54, 2541 (2007)
  8. E. Akkermans and O. Assaf, Correlation of diffusing photons and level crossing spectroscopy, Europhys. Lett. 81, 24002 (2008).
  9. E. Akkermans, S. Ghosh and Z. Musslimani, Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential, J. Phys. B: At. Mol. Opt. Phys 41, 045302 (2008) , arXiv:cond-mat/0610579.
  10. E. Akkermans and O. Assaf, Reply to Comment, Phys. Rev. Lett. 100, 199302 (2008).
  11. E. Akkermans, A. Gero, and R. Kaiser, Photon localization and Dicke superradiance in atomic gases, Phys. Rev. Lett. 101, 103602 (2008).

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Present Research

Statistical mechanics and quantum fields on fractals
  1. E. Akkermans, G. V. Dunne and A. Teplyaev, Physical consequences of complex dimensions of fractals, Europhys. Lett. 88, 40007 (2009).
  2. E. Akkermans, G. V. Dunne and A. Teplyaev, Thermodynamics of photons on fractals, Phys. Rev. Lett. 105, 230407 (2010).
  3. E. Akkermans, O. Benichou, G. V. Dunne, A. Teplyaev, and R. Voituriez, Spatial log-periodic oscillations of first-passage observables in fractals, Phys. Rev. E 86, 061125 (2012).
  4. E. Akkermans, Statistical Mechanics and Quantum Fields on Fractals, in Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics, D. Cafri, M. L. Lapidus, E. P. J. Pearse and M. van Frankenhuijsen (eds.), Contemporary Mathematics, 1–21 (2013).
  5. E. Akkermans and E. Gurevich, Spontaneous emission from a fractal vacuum, EPL (Europhys. Lett.) 103, 3 (2013).
  6. E. Akkermans, G. Dunne and E. Levy, Wave Propagation in One Dimension, in Optics of Aperiodic Structures: Fundamentals and Device Applications, edited by L. Dal Negro (Pan Stanford Publishing, 2014), pp. 407–449.
  7. E. Akkermans, J. P. Chen, G. Dunne, L. G. Rogers and A. Teplyaev, Fractal AC Circuits and Propagating Waves on Fractals, in Analysis, Probability and Mathematical Physics on Fractals, P. A. Ruiz, J. P. Chen, L. G. Rogers, R. S. Strichartz and A. Teplyaev (Eds.), World Scientific (2020), arXiv:1507.05682.

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Topology of tilings
  1. D. Tanese, E. Gurevich, F. Baboux, T. Jacqmin, A. Lemaître, E. Galopin, I. Sagnes, A. Amo, J. Bloch, and E. Akkermans, Fractal Energy Spectrum of a Polariton Gas in a Fibonacci Quasiperiodic Potential, Phys. Rev. Lett. 112, 146404 (2013).
  2. E. Levy, A. Barak, A. Fisher and E. Akkermans, Topological properties of Fibonacci quasicrystals : A scattering analysis of Chern numbers, arXiv:1509.04028 (2015).
  3. F. Baboux, E. Levy, A. Lemaître, C. Gómez, E. Galopin, L. Le Gratiet, I. Sagnes, A. Amo, J. Bloch, and E. Akkermans, Measuring topological invariants from generalized edge states in polaritonic quasicrystals, Phys. Rev. B 95, 161114(R) (2017).
  4. E. Levy and E. Akkermans, Topological boundary states in 1D: An effective Fabry-Perot model, Eur. Phys. J. Special Topics 226, 1563–1582 (2017).
  5. A. Dareau, E. Levy, M. Bosch Aguilera, R. Bouganne, E. Akkermans, F. Gerbier and J. Beugnon, Revealing the Topology of Quasicrystals with a Diffraction Experiment, Phys. Rev. Lett. 119, 215304 (2017).
  6. E. Akkermans, Y. Don, E. Levy and D. Gitelman, Topological properties of some quasi-periodic tilings – From structure to spectrum, in Spectral Structures and Topological Methods in Mathematical Quasicrystals, Workshop ID: 1740, M. Baake, D. Damanik, J. Kellendonk and D. Lenz (eds.), Mathematisches Forschungsinstitut Oberwolfach (2017).
  7. E. Akkermans, Y. Don, J. Rosenberg and C. L. Schochet, Relating Diffraction and Spectral Data of Aperiodic Tilings: Towards a Bloch theorem, J. Geom. Phys. 165, 104217 (2021).

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Quantum phase transitions – Anomalies
  1. E. Akkermans and G. V. Dunne, Ramsey Fringes and Time-Domain Multiple-Slit Interference from Vacuum, Phys. Rev. Lett. 108, 030401 (2012).
  2. O. Ovdat, J. Mao, Y. Jiang, E. Y. Andrei and E. Akkermans, Observing a Scale Anomaly in Graphene: A Universal Quantum Phase Transition, Nat. Commun. 8, 507 (2017).
  3. D. K. Brattan, O. Ovdat and E. Akkermans, Scale anomaly of a Lifshitz scalar: A universal quantum phase transition to discrete scale invariance, Phys. Rev. D 97, 061701(R) (2018).
  4. D. K. Brattan, O. Ovdat and E. Akkermans, On the landscape of scale invariance in quantum mechanics, J. Phys. A 51, 43 (2018).
  5. O. Ovdat, Y. Don and E. Akkermans, Vacancies in graphene: Dirac physics and fractional vacuum charges, Phys. Rev. B 102, 075109 (2020).
  6. O. Ovdat and E. Akkermans, The breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition, in Fractal Geometry and Stochastics VI, U. Freiberg, B. Hambly, M. Hinz and S. Winter (eds.),  Springer, Birkhäuser Basel (2020), arXiv:1909.05505.
  7. O. Ovdat, Y. Don, E. Akkermans, Vacancies in Graphene : Dirac Physics and Fractional Vacuum Charges, Phys. Rev. B 102, 075109 (2020) .

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Statistical mechanics of out of equilibrium systems
  1. E. Akkermans, T. Bodineau, B. Derrida and O. Shpielberg, Universal current fluctuations in the symmetric exclusion process and other diffusive systems, EPL (Europhys. Lett.) 103, 2 (2013).
  2. O. Shpielberg and E. Akkermans, Le Chatelier Principle for Out-of-Equilibrium and Boundary-Driven Systems: Application to Dynamical Phase Transitions, Phys. Rev. Lett. 116, 240603 (2016).
  3. O. Shpielberg, Y. Don, and E. Akkermans, Numerical study of continuous and discontinuous dynamical phase transitions for boundary-driven systems, Phys. Rev. E 95, 032137 (2017).

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Quantum mesoscopic physics
  1. G. Montambaux and E. Akkermans, Non-exponential relaxations in disordered conductors, arXiv:cond-mat/0405523 (2004).
  2. E. Akkermans, A. Comtet, J. Desbois, G. Montambaux and C. Texier, Spectral determinant on quantum graphs, Annals of Physics 284, 10–51 (2000).
  3. T. Goren, K. Le Hur and E. Akkermans, Ramsey Interferometry of Particle-Hole Pairs in Tunnel Junctions, arXiv:1611.06738 (2016).
  4. A. Soret, K. Le Hur and Eric Akkermans, Fluctuating Forces Induced by Non Equilibrium and Coherent Light Flow, Phys. Rev. Lett. 124, 136803 (2020).
  5. A. Soret, O. Shpielberg and E. Akkermans, Uncertainty Relations for Mesoscopic Coherent Light, arXiv:2011.07246 (2020).

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Cooperative effects and superradiance
  1. A. Gero and E. Akkermans, Effect of superradiance on transport of diffusing photons in cold atomic gases, Phys. Rev. Lett. 96, 093601 (2006).
  2. A. Gero and E. Akkermans, Superradiance and multiple scattering of photons in atomic gases, Phys. Rev. A 75, 053413 (2007).
  3. E. Akkermans, A. Gero, and R. Kaiser, Photon localization and Dicke superradiance in atomic gases, Phys. Rev. Lett. 101, 103602 (2008).
  4. E. Akkermans and A. Gero, Cooperative effects in one-dimensional random atomic gases: Absence of single-atom limit, EPL (Europhys. Lett.) 101, 5 (2013).
  5. A. Gero and E. Akkermans, Cooperative effects and photon localization in atomic gases: The two-dimensional case, Phys. Rev. A 88, 023839 (2013).
  6. L. Bellando, A. Gero, E. Akkermans, and R. Kaiser, Cooperative effects and disorder: A scaling analysis of the spectrum of the effective atomic Hamiltonian, Phys. Rev. A 90, 063822 (2014).
  7. L. Bellando, A. Gero, E. Akkermans, and R. Kaiser, Roles of cooperative effects and disorder in photon localization: The case of a vector radiation field, arXiv:1906.06966 (2019).

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