Publications

Selected publications in PDF (1977-2019).

• Homotopy of periodic 2 × 2 matrices. J. Math. Phys. 2024; 65, 051902 (2024). with Ari M. Turner.
• An elementary introduction to the geometry of quantum states with a picture book, Reviews in Mathematical physics 32, 2030001 (2020), with O. Kenneth.
• Anomalous decay and decoherence in atomic gases, Open systems and information dynamics 26, 1950008 (2019),  with A. Tsabary and O. Kenneth.
• Teleportation for Septuagenerians, J. Stat. Phys. 172, 555-561 (2018). with O. Kenneth.
• Generalized Sagnac-Wang-Fizeau formula, Phys. Rev. A. 94, 063837 (2016). with A. Ori.
• Relativistically exact eikonal equation for optical fibers with application to adiabatically deforming ring interferometers , Phys. Rev. A 94, 063838 (2016)  with Oded Kenneth.
• Lindbladians for controlled stochastic Hamiltonians, New J. Phys. 17 (2015). with O Kenneth, A Retzker and M Shalyt.
• Braiding fluxes in Pauli Hamiltonian, Ann. Phys. 349, 325-349 (2014), arXiv:1403:2216 with O. Kenneth.
• A study of  the ambiguity in the solutions of the Diophantine equation for Chern Numbers,  J. Phys. A Math. Theor. 47 185202 (2014) with O. Kenneth and G. Yehoshua.
• Adiabatic Response for Lindblad Dynamics, J. Stat. Phys. 148, 800–823, (2012), with M. Fraas and G. M. Graf.
• Adiabatic theorems for generators of contracting evolutions, Comm. Math. Phys., (2012), arXiv:1106.4661, with M. Fraas, G. M. Graf and P. Grech.
• Quantum response of dephasing open systems, New J. Phys. 13, 053042 (2011), arXiv:1008.4079, with M. Fraas, G.M. Graf and O. Kenneth.
• Radiative cascade from quantum dot metastable spin-blockaded biexciton, Phys. Rev. B 82, 155329 (2010), (DOI: 10.1103/PhysRevB.82.155329), arXiv:1007.0124, with Y. Kodriano, E. Poem, N.H. Lindner, C. Tradonsky, P.M. Petroff and D. Gershoni.
• Optimal parametrization of adiadabtic paths, Phys. Rev. A. 82, 040304R, (2010), arXiv:1003.2172 with M. Fraas, G.M. Garf, P. Grech.
• Landau-Zener tunneling for dephasing Lindblad evolutions, Commun. Math. Phys. 305, 633-639, (2011), arXiv:0912.4640, with M. Fraas, G.M. Garf, P. Grech.
• Avron et. al. reply, Phys. Rev. Lett. 103, 048902, (2009), with G. Bisker, D. Gershoni, N. H. Lindner, E. A. Meirom, R. J. Warburton.
• Entanglement and the geometry of two qubits, Ann. Phys. 324, 470-496, (2009), arXiv:0807.0212, with O. Kenneth.
• A geometric theory of swimming: Purcell’s swimmer and its symmetrized cousin, New J. Phys. 10, 063016, (2008), with O. Raz.
• Entanglement on demand through time reordering, Phys. Rev. Lett. 100, 120501, (2008), arXiv:0710.2308, with G. Bisker, D. Gershoni, N. H. Lindner, E. A. Meirom, R. J. Warburton.
• Comment on “Optimal Stroke Patterns for Purcell’s Three-Link Swimmer”, Phys. Rev. Lett. 100, 029801, (2008), arXiv:0706.3906, (selected for the January 15, 2008 issue of Virtual Journal of Biological Physics Research.) with O. Raz.
• Distilling entanglement from cascades with partial “Which Path” ambiguity, Phys. Rev. A 77, 062310 (2008), arXiv:0707.1511, with E. A. Meirom, N. H. Lindner, Y. Berlatzky, E. Poem, N. Akopian, D. Gershoni.
• Visualizing two qubits, J. Math. Phys. 48, 102107, (2007), arXiv:0706.2466, (selected for the November 2007 issue of Virtual Journal of Quantum Information.), with G. Bisker and O. Kenneth.
• Fredholm determinants and the statistics of charge transport, Commun. Math. Phys., 280, 807-829, (2008), 0010-3616 (Print) 1432-0916 (Online), arXiv:0705.0099, with S. Bachmann, G.M. Graf and I. Klich.
• Sailing, Swimming Pumping and Gliding at low Reynolds numbers, New J. Phys. 9, 437, (2007), arXiv:physics/0703240, with O. Raz.
• A frictionless microswimmer, New J. Phys. 9, 145, (2007), arXiv:physics/0701080 with Alexander M. Leshansky, Oded Kenneth, Omri Gat.
• Swimming in curved space Or The Baron and the Cat, New J. Phys. 8, 68, (2006), arXiv:math-ph/0602053, with O. Kenneth.
• A comment on “A semiconductor source of entangled photons”, arXiv:quant-ph/0601200, with N.H. Lindner, N. Akopian, D. Gershoni,
• Entangled photon pairs from a semiconductor quantum dots, Phys. Rev. Lett., 96, 130501, (2006), (selected for the April 2006 issue of Virtual Journal of Quantum Information. www.vjquantuminfo.org), with N. Akopian, N.H. Lindner, E. Poem, Y. Berlatzky, D. Gershoni, D.B. Gerardotand, P.M. Petroff.
• Adiabatic Swimming in an Ideal Quantum Gas, Phys. Rev. Lett., 96, 130602 (2006), with B. Gutkin and D. Oaknin.
• Pushmepullyou: An efficient micro-swimmer, New J. Phys. 7, 234, (2005), with O. Kenneth and D. Oaknin.
• Optimal swimming at low Reynolds numbers, Phys. Rev. Lett. 93, 186001, (2004), with O. Gat and O. Kenneth.
• Optimal rotations of deformable bodies and orbits in magnetic fields, Phys. Rev. Lett. 92, 040201-1 (2004), with O. Gat O. Kenneth and U. Sivan.
• Semiclassical analysis and the magnetization of the Hofstadter model, Phys. Rev. Lett. 91, 186801, (2003), with O. Gat.
• Transport and Dissipation in Quantum Pumps, J. Stat. Phys. 116, 425-473, (2004), with A. Elgart, G.M. Graf and L. Sadun.
• Magnetic fingerprints of fractal spectra and the duality of Hofstadter models, New J. Phys. 5, 44.1-44.8 (2003), with O. Gat.
• A topological look at the quantum Hall effect, Physics Today 56, 38-42, (2003), with D. Osadchy and R. Seiler.
• Adiabatic charge pumping in open quantum systems, Comm. Pure & App. Math. 57, 528-561 (2004), with A. Elgart, G.M. Graf , L. Sadun and K. Schnee.
• Time-Energy coherent states and Adiabatic Scattering, J. Math. Phys. 43, 3415-3424, (2002), with A. Elgart, G.M. Graf and L. Sadun.
• Optimal Quantum Pumps, Phys. Rev. Lett. 87, 236601-236605, (2001), with A. Elgart, G.M. Graf and L. Sadun.
• Hofstadter butterfly as quantum phase diagram, J. Math. Phys. 42, 5665-5671, (2001), with D. Osadchy.
• Fredholm Indices and the Phase Diagram of Quantum Hall Systems, J. Math. Phys. 42, 1-14, (2001), with L. Sadun.
• The Born Oppenheimer wave function near level crossing, Phys. Rev. A. 62, 062504-1-062504-9, (2000), with A. Gordon.
• Geometry, Statistics and Asymptotics of Quantum Pumps, Phys. Rev. B 62, 10618, (2000), with A. Elgart, G.M. Graf and L. Sadun.
• Born-Oppenheimer approximation near level crossing, Phys. Rev. Lett., 85, 34, (2000), with A. Gordon.
• Smooth adiabatic evolutions with leaky power tails, J. Phys. A: Math. Gen. 32, L537-L546, (1999), with A. Elgart.
• Quantum response at finite fields and breakdown of Chern numbers, J. Phys. A.: Math. Gen. 32, 6097-6113, (1999), with Zvi Kons.
• Is the number of Photons a Classical Invariant?, Euro. J. Phys 20, 153-159, (1999), with E. Berg, D. Goldsmith and A. Gordon.
• Quantum Transport in Molecular Rings and Chains, Proc. Roy. Soc. Lond. A. 455, 2729-2750, (1999), arXiv:math-ph/9807001, with J. Berger.
• Adiabatic Theorem without a Gap Condition, Commun. Math. Phys., 203, 445-463, (1999), with A. Elgart.
• An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field, Phys. Rev. A., 58, 4300-4306, (1998), with A. Elgart.
• Odd Viscosity, J. Stat. Phys. 92, 543-557, (1998).
• Geometric Forces on Point Fluxes in Quantum Hall Fluids, J. Stat. Phys. 92, 1193-1201, (1998), with P.G. Zograf.
• Boundary Conditions for Bulk and Edge States in Quantum Hall Systems, Euro. Phys. J. B. 1, 117-121 (1998), with E. Akkermans, R. Narevich and R. Seiler.
• The Longuet-Higgins Phase and Charge Transport in Molecular Rings, Chem. Phys. Lett., 294, 13, (1998), arXiv:cond-mat/9709239, with J. Berger.
• Piezoelectricity: Quantized Transport Driven by Adiabatic Deformations, Phys. Rev. Lett. 78, 511-514, (1997), with J. Berger and Y. Last.
• Adiabatic curvature and the S-Matrix, Commun. Math. Phys. 181, 685-7102, (1996), with L. Sadun.
• A Classification Scheme for Toroidal Molecules, J. Chem. Soc. Faraday. Trans. 91, No 22, 4037-4045, (1995), arXiv:mtrl-th/9502001, with J. Berger.
• Viscosity of Quantum Hall Fluids, Phys. Rev. Lett. 75, 697-700, (1995), with R. Seiler and P. Zograf.
• The index of pair of projections, J. Func. Anal. 120, 220-237, (1994), with R. Seiler and B. Simon.
• Charge Deficiency, Charge Transport and Comparison of Dimensions, Commun. Math. Phys. 159, 399-422, (1994), with R. Seiler and B. Simon.
• Periodic Schrödinger Operators with Large Gaps and Wannier-Stark Ladders, Phys. Rev. Lett. 72, 896-899, (1994), with P. Exner and Y. Last.
• Hall Conductance and adiabatic charge transport of leaky tori, Phys. Rev. Lett. 69, 128-131, (1992), with M. Klein, A. Pnueli and L. Sadun.
• Landau Hamiltonians on Symmetric Spaces, with A. Pnueli, in “Ideas and Methods in Mathematical analysis, stochastics, and applications Vol II”, S. Albeverio, J. E. Fenstad, H. Holden and T. Lindstrom, Editors, Cambridge University Press,(1992).
• Adiabatic transport in networks with macroscopic components, Ann. Phys. 206, 440-493, (1991), with L. Sadun.
• Relation between Persistent Currents and the Scattering Matrix, Phys. Rev. Lett 66 (1991) with E. Akkermans, A. Auerbach and B. Shapiro
• Quantum Hall effect and the relative index of Projections, Phys. Rev. Lett. 65, 2185-2189, (1990), with R.Seiler and B. Simon.
• On the measure of the spectrum of the Almost Mathieu operator,Commun. Math. Phys. 132, 103-118 (1990), with P.H.M. van Mouches and B. Simon.
• Adiabatic theorems for dense point spectra, Commun. Math. Phys. 128, 497-507, (1990), with J. Howland and B. Simon.
• Chern numbers, Quaternions and Berry’s phase in Fermi systems, Commun. Math. Phys. 124, 595-627, (1989), with J. Segert, L. Sadun and B. Simon.
• Integer charge transport in Josephson junctions,Phys. Rev. B. 39. 756 (1989) with M. Cross
• Adiabatic theorems and applications to the quantum Hall effect,Commun. Math. Phys. 110, 33-49, (1987), with R. Seiler and L.G. Yaffe.
• Diophantine equation for the Hall conductance for interacting electrons on a torus, Phys. Rev. Lett. 56, 2084, (1986), with L. G. Yaffe.
• Quantization of the Hall conductance for general multiparticle Schrodinger operators, Phys. Rev. Lett. 54, (1985) 259-262, with R.Seiler.
• Homotopy and quantization in condensed matter physics, Phys. Rev. Lett. 51, 51-54, (1983), with R.Seiler and B. Simon.
• Diophantin equation for the Hall conductance of interacting electrons,  Phys. Rev. Lett. 56 2084, 1986 with L. Yaffe
• Quantised Hall conductance in a perfect crystal, J. Phys. C 1985, with Y. Dana and J. Zka
• The lifetime of Wannier ladder states, The lifeAnn. Phys. 143, 33-53, (1982).
• Roughening Transition in the ⁴He Solid-Superfluid Interface, Phys. Rev. Lett. 45, 814 (1980), with L. S. Balfour, C. G. Kuper, J. Landau, S. G. Lipson, and L. S. Schulman.
• Spectral and scattering theory of Schrodinger operators related to the Stark effect, Commun. Math. Phys. 52, 239-254 (1977), with I. W. Herbst.
• Model calculations of Stark ladder resonances Phys. Rev. Lett 37, 1568 (1976).