Doron Cohen

פרופ' דורון כהן
המחלקה לפיסיקה
אוניברסיטת בן גוריון
באר שבע
08-64-77557

Prof. Doron Cohen
Department of Physics
Ben-Gurion University
Beer-Sheva 84105, Israel
dcohen@bgu.ac.il

1987-1991 PhD, Technion, Israel Institute of Technology, Haifa, Israel.
1991-1996 R&D activity (IAF, MOD, RAFAEL, SCD).
1996-1998 The Weizmann Institute of Science, Rehovot, Israel.
1998-2001 Harvard University, Cambridge, MA, USA.
2001-.... Ben-Gurion University, Beer-Sheva, Israel.
[more information] [BGUnow article]

Ben-Gurion University
The Physics Department Homepage
The Condensed-Matter Theory Group

Research Highlights
Collaborations (including students and postdocs)
Publications by subject (including overviews and preprints, with links to PDFs)
List of Publications [pdf] [arXiv]
PDFs of recent talks and colloquia

Courses:

Tasks:

Head of the physics teaching committee (2004-2011)
Head of the physics computation committee (2002-...)

Current Research Interests:

Chaos and quantum mechanics ("Quantum Chaos").
Theory of driven mesoscopic (nano) systems.
Adiabatic and non-adiabatic transport.
Quantum pumping and stirring of particles in closed geometries.
Counting statistics.

Theory of irreversibility and dissipation.
Semi-linear response and the theory of mesoscopic conductance.
Quantum dissipative dynamics, Brownian motion, dephasing.
Quantum measurements; information; computing.

Quantum mechanics on discrete systems and on networks
Dynamics of Bose condensed particles (BHH / DNLS).
Random Matrix Theory (RMT) modeling of semiclassical systems.

Highlights:

Our recent studies set up the theory for the conductance of closed ballistic devices, and for quantum stirring of particles in such devices by means of "quantum pumping". [more...]

Publications by subject

Wide scope

Lecture Notes in Quantum Mechanics [arXiv] [pdf] ,
D. Cohen, arXiv:quant-ph/0605180.

Lecture Notes in Statistical Mechanics and Mesoscopics [arXiv] [pdf] ,
D. Cohen, arXiv:1107.0568.

Quantum pumping and dissipation in closed systems [arXiv] [pdf] ,
D. Cohen, Physica E 29, 308 (2005). Proceedings of Frontiers of Quantum and Mesoscopic Thermodynamics (Prague, 2004).

Driven chaotic mesoscopic systems,dissipation and decoherence [arXiv] [pdf] ,
D. Cohen, lecture notes of a course in the 2002 Karpacz school, in Dynamics of Dissipation, Proceedings of the 38th Karpacz Winter School of Theoretical Physics, Edited by P. Garbaczewski and R. Olkiewicz (Springer, 2002).

Chaos, Dissipation and Quantal Brownian Motion [arXiv] [pdf] ,
D. Cohen, lecture notes of course in the 1999 Varenna school, in New Directions in Quantum Chaos, Proceedings of the International School of Physics Enrico Fermi Course CXLIII, Edited by G. Casati, I. Guarneri and U. Smilansky (IOS Press, Amsterdam, 2000).

Short overview: Energy Absorption by Driven Mesoscopic Systems [arXiv]

Short Overview: Brownian Motion and Dephasing due to Dynamical Disorder [arXiv]

Theory of driven mesoscopic systems

Quantum Dissipation due to the interaction with chaotic degrees-of-freedom and the correspondence principle [arXiv] [pdf] ,
D. Cohen, Phys. Rev. Lett. 82, 4951 (1999).

Quantum-mechanical non-perturbative response of Driven Chaotic Mesoscopic Systems [arXiv] [pdf] ,
D. Cohen and T. Kottos, Phys. Rev. Lett. 85, 4839 (2000).

Chaos and energy spreading for time-dependent Hamiltonians, and the various regimes in the theory of Quantum Dissipation [arXiv] [pdf] ,
D. Cohen, Annals of Physics 283, 175 (2000).

Deformations and dilations of chaotic billiards, rate of dissipation, and quasi-orthogonality of the boundary wavefunctions [arXiv] [pdf] ,
A. Barnett, D. Cohen and E.J. Heller, Phys. Rev. Lett. 85, 1412 (2000).

Rate of energy absorption for a driven chaotic cavity [arXiv] [pdf] ,
A. Barnett, D. Cohen and E.J. Heller, J. Phys. A 34, 413 (2001).

Stadium Billiard with Moving Walls [arXiv] [pdf] ,
D. Cohen and D.A. Wisniacki, Phys. Rev. E 67, 026206 (2003).

Non-perturbative response: chaos versus disorder [arXiv] [pdf] ,
D. Cohen and T. Kottos, J. Phys. A 36, 10151 (2003).

The Multimode Conductance Formula for a Closed Ring [arXiv] [pdf] ,
D. Cohen and Y. Etzioni, J. Phys. A 38, 9699 (2005).

Quantum anomalies and linear response theory [arXiv] [pdf] ,
I. Sela, J. Aisenberg, T. Kottos and D. Cohen, J. Phys. A (FTC) 43, 332001 (2010).

Semilinear response theory

Rate of energy absorption by a closed ballistic ring [arXiv] [pdf] ,
D. Cohen, T. Kottos and H. Schanz, J. Phys. A 39, 11755 (2006).

The conductance of a multi-mode ballistic ring: beyond Landauer and Kubo [arXiv] [pdf] ,
S. Bandopadhyay, Y. Etzioni and D. Cohen, Europhysics Letters 76, 739 (2006).

The mesoscopic conductance of ballistic rings [arXiv] [pdf] ,
Y. Etzioni, S. Bandopadhyay and D. Cohen, arXiv:0607746 (2006).

Semilinear response [arXiv] [pdf] , Editorial Board highlight of 2006,
M. Wilkinson, B. Mehlig, D. Cohen, Europhysics Letters 75, 709 (2006).

From the Kubo formula to variable range hopping [arXiv] [pdf] ,
D. Cohen, Phys. Rev. B 75, 125316 (2007).

The mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture [arXiv] [pdf] , Editor's choice of 2007-2008,
A. Stotland, R. Budoyo, T. Peer, T. Kottos and D. Cohen, J. Phys. A (FTC) 41, 262001 (2008).

Semilinear response for the heating rate of cold atoms in vibrating traps [arXiv] [pdf] ,
A. Stotland, D. Cohen and N. Davidson, Europhysics Letters 86, 10004 (2009).

Random-matrix modeling of semi-linear response, the generalized variable range hopping picture, and the conductance of mesoscopic rings [arXiv] [pdf] ,
A. Stotland, T. Kottos and D. Cohen, Phys. Rev. B 81, 115464 (2010).

Quantum response of weakly chaotic systems [arXiv] [pdf] ,
A. Stotland, L.M. Pecora and D. Cohen, Europhysics Letters 92, 20009 (2010).

Weak Quantum Chaos and its resistor network modeling [arXiv] [pdf] ,
A. Stotland, L.M. Pecora and D. Cohen, Phys. Rev. E 83, 066216 (2011).

Non-equilibrium steady state of sparse systems [arXiv] [pdf] ,
D. Hurowitz, D. Cohen, Europhysics Letters 93, 60002 (2011).

The non-equilibrium steady state of sparse systems with nontrivial topology [arXiv] [pdf] ,
D. Hurowitz, S. Rahav, D. Cohen, arXiv:1109.5324 (2011).

Quantum pumping and stirring

Classical and quantum pumping in closed systems [arXiv] [pdf] ,
D. Cohen, Solid State Communications 133, 583 (2005).

Quantum pumping in closed systems, adiabatic transport, and the Kubo formula [arXiv] [pdf] ,
D. Cohen, Phys. Rev. B 68, 155303 (2003).

Quantum pumping and dissipation: from closed to open systems [arXiv] [pdf] ,
D. Cohen, Phys. Rev. B 68, 201303(R) (2003).

Purely electric spin pumping in one-dimension [arXiv] [pdf] , Editor's suggestion,
Y. Avishai, D. Cohen and N. Nagaosa, Phys. Rev. Lett. 104, 196601 (2010).

Stirring - prototype models and effects

Quantum pumping: the charge transported due to a translation of a scatterer [arXiv] [pdf] ,
D. Cohen, T. Kottos and H. Schanz, Phys. Rev. E 71, 035202(R) (2005).

Quantum stirring of particles in closed devices [arXiv] [pdf] ,
G. Rosenberg and D. Cohen, J. Phys. A 39, 2287 (2006).

Operating a quantum pump in a closed circuit [arXiv] [pdf] ,
I. Sela and D. Cohen, J. Phys. A 39, 3575 (2006).

Quantum Stirring in low dimensional devices [arXiv] [pdf] ,
I. Sela and D. Cohen, Phys. Rev. B 77, 245440 (2008).

Quantum dynamics and transport in a double well system [arXiv] [pdf] ,
I. Sela and D. Cohen, Phys. Rev. B 78, 155404 (2008).

Non-adiabatic pumping in an oscillating-piston model [arXiv] [pdf] ,
M. Chuchem, T. Dittrich, D. Cohen, (2012).

Counting statistics in closed systems

Restricted quantum-classical correspondence and counting statistics for a coherent transition [arXiv] [pdf] ,
M. Chuchem and D. Cohen, Phys. Rev. A 77, 012109 (2008).

Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device [arXiv] [pdf] ,
M. Chuchem and D. Cohen, J. Phys. A 41, 075302 (2008).

Quantum transport and counting statistics in closed systems [arXiv] [pdf] ,
M. Chuchem and D. Cohen, Physica E 42, 555 (2010). Proceedings of Frontiers of Quantum and Mesoscopic Thermodynamics (Prague, 2008).

Dynamics of condensed particles (BEC / BHH / DNLS)

Control of atomic currents using a quantum stirring device [arXiv] [pdf] ,
M. Hiller, T. Kottos, D. Cohen, Europhysics Letters 82, 40006 (2008).

Controlled quantum stirring of Bose-Einstein condensates [arXiv] [pdf] ,
M. Hiller, T. Kottos, D. Cohen, Phys. Rev. A 78, 013602 (2008).

Phase-diffusion dynamics in weakly coupled Bose-Einstein condensates [arXiv] [pdf] ,
E. Boukobza, M. Chuchem, D. Cohen and A. Vardi, Phys. Rev. Lett. 102, 180403 (2009).

Interaction-induced dynamical phase locking of Bose-Einstein condensates [arXiv] [pdf] ,
E. Boukobza, D. Cohen and A. Vardi, Phys. Rev. A 80, 053619 (2009).

Occupation Statistics of a BEC for a Driven Landau-Zener Crossing [arXiv] [pdf] ,
K. Smith-Mannschott, M. Chuchem, M. Hiller, T. Kottos and D. Cohen, Phys. Rev. Lett. 102, 230401 (2009).

Nonlinear phase-dynamics in a driven Bosonic Josephson junction [arXiv] [pdf] ,
E. Boukobza, M.G. Moore, D. Cohen and A. Vardi, Phys. Rev. Lett. 104, 240402 (2010).

Semiclassical analysis of quantum dynamics in the bosonic Josephson junction [arXiv] [pdf] ,
M. Chuchem, K. Smith-Mannschott, M. Hiller, T. Kottos, A. Vardi and D. Cohen, Phys. Rev. A 82, 053617 (2010).

Matter-wave scattering on a BEC in a double-well potential [] [pdf] ,
S. Hunn, M. Hiller, A. Buchleitner, D. Cohen, T. Kottos, Eur. Phys. J. D 63, 55 (2011).

Inelastic chaotic scattering on a Bose-Einstein condensate [arXiv] [pdf] ,
S. Hunn, M. Hiller, A. Buchleitner, D. Cohen, T. Kottos, arXiv:1010.2092 (2010).

Temporal quantum fluctuations in the fringe-visibility of atom interferometers with interacting Bose-Einstein condensate [arXiv] [pdf] ,
D. Cohen, A. Vardi, arXiv (2011).

Squeezing in driven bimodal Bose-Einstein Condensates: Erratic driving versus noise [arXiv] [pdf] ,
C. Khripkov, A. Vardi, D. Cohen, arXiv (2012).

Parametric evolution of wavefunctions (LDOS)

Unification of perturbation theory, RMT and semiclassical considerations in the study of parametrically-dependent eigenstates [arXiv] [pdf] ,
D. Cohen and E.J. Heller, Phys. Rev. Lett. 84, 2841 (2000).

Parametric dependent Hamiltonians, wavefunctions, random-matrix-theory, and quantal-classical correspondence [arXiv] [pdf] ,
D. Cohen and T. Kottos, Phys. Rev. E 63, 36203 (2001).

Parametric Evolution for a Deformed Cavity [arXiv] [pdf] ,
D. Cohen, A. Barnett and E.J. Heller, Phys. Rev. E 63, 46207 (2001).

Parametric evolution of eigenstates: Beyond perturbation theory and semiclassics [arXiv] [pdf] ,
J.A. Mendez-Bermudez, T. Kottos and D. Cohen, Phys. Rev. E 72, 027201 (2005).

Parametric invariant Random Matrix Model and the emergence of multifractality [arXiv] [pdf] ,
J.A. Mendez-Bermudez, T. Kottos and D. Cohen, Phys. Rev. E 73, 036204 (2006).

Wavepacket dynamics, Quantum Irreversibility

Wavepacket dynamics in energy space, RMT and Quantum-Classical correspondence [arXiv] [pdf] ,
D. Cohen, F. Izrailev and T. Kottos, Phys. Rev. Lett. 84, 2052 (2000).

Failure of random matrix theory to correctly describe quantum dynamics [arXiv] [pdf] ,
T. Kottos and D. Cohen, Phys. Rev. E 64, 065202(R) (2001).

Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states [arXiv] [pdf] ,
D.A. Wisniacki and D. Cohen, Phys. Rev. E 66, 046209 (2002).

Quantum irreversibility of energy spreading [arXiv] [pdf] ,
T. Kottos and D. Cohen, Europhysics Letters 61, 431 (2003).

The survival probability and the local density of states for one-dimensional Hamiltonian systems [arXiv] [pdf] ,
J. Vanicek and D. Cohen, J. Phys. A 36, 9591 (2003).

Quantum Reversibility: Is there an Echo? [arXiv] [pdf] ,
M. Hiller, T. Kottos, D. Cohen and T. Geisel, Phys. Rev. Lett. 92, 010402 (2004).

Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory [arXiv] [pdf] ,
M. Hiller, D. Cohen, T. Geisel and T. Kottos, Annals of Physics 321, 1025 (2006).

Diffractive energy spreading and its semiclassical limit [arXiv] [pdf] ,
A. Stotland and D. Cohen, J. Phys. A 39, 10703 (2006).

Quantum decay into a non-flat continuum [arXiv] [pdf] ,
J. Aisenberg, I. Sela, T. Kottos, D. Cohen and A. Elgart, J. Phys. A 43, 095301 (2010).

Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum [arXiv] [pdf] ,
I. Sela, J. Aisenberg, T. Kottos, A. Elgart and D. Cohen, Phys. Rev. E 81, 036219 (2010).

System-Environment, Brownian motion, Dephasing

Unified Model for the Study of Diffusion Localization and Dissipation [arXiv] [pdf] ,
D. Cohen, Phys. Rev. E 55, 1422 (1997).

Quantum Dissipation versus Classical Dissipation for Generalized Brownian Motion [arXiv] [pdf] ,
D. Cohen, Phys. Rev. Lett. 78, 2878 (1997).

Quantal Brownian Motion - Dephasing and Dissipation [arXiv] [pdf] ,
D. Cohen, J. Phys. A 31, 8199 (1998).

Dephasing at Low Temperatures [arXiv] [pdf]
D. Cohen and Y. Imry, Phys. Rev. B 59, 11143 (1999).

Dephasing due to the interaction with chaotic degrees of freedom [arXiv] [pdf] ,
D. Cohen, Phys. Rev. E 65, 026218 (2002).

Quantum Dissipation due to the Interaction with Chaos [arXiv] [pdf] ,
D. Cohen and T. Kottos, Phys. Rev. E 69, 055201(R) (2004).

Dephasing of a particle in a dissipative environment [arXiv] [pdf] ,
D. Cohen and B. Horovitz, J. Phys. A 40, 12281 (2007).

Decoherence of a particle in a ring [arXiv] [pdf] ,
D. Cohen and B. Horovitz, Europhysics Letters 81, 30001 (2008).

Renormalization of the dephasing by zero point fluctuations [arXiv] [pdf] ,
S. Bandopadhyay and D. Cohen, Phys. Rev. B 77, 155438 (2008).

The dephasing rate formula in the many body context [arXiv] [pdf] ,
D. Cohen, J. von Delft, F. Marquardt and Y. Imry, Phys. Rev. B 80, 245410 (2009).

Kicked systems, the effect of noise

Quantum Chaos Dynamical Correlations and the Effect of Noise on Localization [pdf] ,
D. Cohen, Phys. Rev. A 44, 2292 (1991).

Localization Dynamical Correlations and the Effect of Colored Noise on Coherence [pdf] ,
D. Cohen, Phys. Rev. Lett. 67, 1945 (1991).

Non Perturbative Destruction of Localization in the Quantum Kicked Particle Problem [arXiv] [pdf] ,
D. Cohen, archive preprint (1991, updated 1999).

Kicked systems, the effect of dissipation

Quantum Dissipation for the Kicked Particle,
D. Cohen and S. Fishman, Phys. Rev. A 39, 6478 (1989).

Destruction of Localization Due to Coupling to a Bath in the Kicked Rotator Problem,
D. Cohen, Phys. Rev. A 43, 639 (1991).

Noise Dissipation and the Classical Limit in the Quantum Kicked Rotator Problem [pdf] ,
D. Cohen, J. Phys. A 27, 4805 (1994).

Periodic orbits and quantal-classical duality

Periodic Orbits,Breaktime and Localization [arXiv] [pdf] ,
D. Cohen, J. Phys. A 31, 277 (1998).

Quantal-Classical Duality and the Semiclassical Trace Formula [arXiv] ,
D. Cohen, H. Primack and U. Smilansky, Ann. Phys. 264, 108 (1998).

Miscellaneous

The Simulation of an FPA Sensor [pdf] ,
G. Baum, Y. Bushlin and D. Cohen, Proceedings of the Ground Target Modeling and Validation Conference, KRC (1995).

Blooming Effects in Indium Antimonide Focal Plane Arrays [pdf] ,
I. Szafranek, Z. Calahorra, O. Amir, A. Adin and D. Cohen, SPIE Proceedings Vol. 3061, 633 (1997).

Persistent currents in Mobius strip [arXiv] [pdf] ,
K. Yakubo, Y. Avishai and D. Cohen, Phy. Rev. B 67, 125319 (2003).

Two-Step Enantio-selective Optical Switch [arXiv] [pdf] ,
P. Kral, I. Thanopulos, M. Shapiro, D. Cohen, Phys. Rev. Lett. 90, 033001 (2003).

Consolidating boundary methods for finding the eigenstates of billiards [arXiv] [pdf] ,
D. Cohen, N. Lepore and E.J. Heller, J. Phys. A 37, 2139-2161 (2004).

The information entropy of quantum mechanical states [arXiv] [pdf] ,
A. Stotland, A.A. Pomeransky, E. Bachmat, D. Cohen, Europhysics Letters 67, 700 (2004).

Recent talks and colloquia

The information entropy of quantum mechanical states (Minsk 2004).

Quantum dissipation (Safed 2004).
Decoherence of a particle in a ring (Munich / Wesleyan 2007).

Driven systems and "Gamma" (Cuernavaca 2004).
Diffractive energy spreading and its semiclassical limit (by Alex, Gottingen 2006, BIU 2006).
Quantum decay into a non-flat continuum (by Itamar, BGU 2009).

Dissipative and Geometric conductance of mesoscopic rings: quantum vs classical (Benasque 2005).
Semi linear response, absorption of energy, and the the theory of mesoscopic conductance (HUJI 2005).
The conductance of ballistic rings, and the absorption of radiation by small metallic grains (Triest 2006).
Energy absorption and the conductance of ballistic rings (Wesleyan / Austin 2007).
The conductance of small mesoscopic disordered rings (Banff 2008, Prague 2008).
Semilinear response of energy absorption (UMD 2008).
Semilinear response and RMT for the heating rate of cold atoms (by Alex, Dresden 2009).
Semilinear response and RMT for the heating rate of cold atoms (Buenos-Aires 2009).
The rate of heating in vibrating billiards (Harvard 2010).

Non-equilibrium steady state (NESS) of sparse systems (Cantabria 2010, Umass 2010).
Non-equilibrium steady state (NESS) of sparse systems (Prague 2011).
Non-equilibrium steady state (NESS) of sparse systems (Cochin 2011).

From classical pumps of water to quantum pumping of electrons in closed devices (Geneva 2003, Goteborg 2005).
The Kubo Formula and Quantum Pumping (Prague 2004, Lund 2005).
Quantum stirring of particles in closed devices (Weizmann 2006).
Quantum stirring in low dimensional devices (by Itamar, Munich 2008).

Quantum stirring of condensed particles and counting statistics (Delft / Leiden / Austin 2007).
Quantum stirring of condensed particles and counting statistics (BGU 2008, HUJI 2008).
Counting statistics in closed geometries (by Maya, BGU 2008).
Counting statistics in multiple path geometries and quantum stirring (Tel-Aviv, 2009).

BEC dynamics in a few site system (by Maya, Munich 2008).
BEC dynamics in a few site system (Dresden 2009).
BEC dynamics in a few site system (Ourense 2010).
One body decoherence: fluctuations, recurrences and statistics (Snowbird 2011).

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