Pumping / Stirring Publications
The scope of the 2003-2006 publications was to place
quantum pumping in open systems and quantum stirring in closed systems
under the same umbrella of linear response theory (Kubo). The focus was
on "ring" geometry (either "two barrier" or "piston" systems). In 2008
there are new works that illuminate the physical results using a
heuristic "splitting ratio" approach. This direction has matured at 2013. The simplest model to clarify the
idea is a 3-site tight-binding system. Additionally this "splitting ratio" approach has been used to
derive some results for the counting statistics. Another direction was
to apply the formalism to Bose condensed particles, and to see what is
the significance of having interactions.
Quantum pumping and stirring - Kubo formalism
-
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).
-
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).
Quantum stirring - prototype models and effects (two-barrier and piston models)
-
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 - Splitting Ratio formalism
-
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).
-
Multiple path transport in quantum networks
[arXiv]
[pdf],
G. Arwas, D. Cohen, J. Phys. A 46, 165101 (2013).
Stirring and Counting statistics in a 3 site circuit
-
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).
-
Multiple path adiabatic crossing in a 3 site ring
[arXiv]
[pdf],
D. Davidovich, D. Cohen, J. Phys. A 46, 085302 (2013).
Application to BEC (stirring in a 3 site Bose-Hubbard circuit, the significance of interactions)
-
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).
Misc
-
Purely electric spin pumping in one-dimension
[arXiv]
[pdf]
,
Y. Avishai, D. Cohen and N. Nagaosa, Phys. Rev. Lett. 104, 196601 (2010).