Research Highlights

Our recent studies concern the dynamics of particles in ring-shaped geometries. In particular we consider circuits: (a) with classical particles that perform stochastic motion; (b) with quantum Bose particles whose dynamics is coherent.
 
(a) It is possible to induce non-equilibrium steady state current, which requires e.g. a radiation source. We have studied the non-monotonic dependence of the current on the intensity of the driving, and its statistical properties. We also have addressed questions that concern the relaxation of such current, and how it depends on percolation and localization properties of the model. (b) Superfluidity is the possibility to have a current that does not decay even in the absence of an external driving source. Our study provides a theory for the meta-stability of such flow-states. A central observation is that the analysis should take into account the chaos that prevails in the classical limit of the model. It is the first time that the theory of "chaos" meets the theory of super-fluidity.
Click the image to read more about
Non-equilibrium steady state of stochastic circuits
Click the image to read more about
Dynamics of condensed particles in a few site system
 
A major theme in our studies during 2011-2015 was a "resistor network" theory for the energy absorption of weakly chaotic systems. The theory was mainly applied to discuss the heating of cold atoms in vibrating traps; and to the conductance of closed mesoscopic rings. This work was a natural extension for the 1998-2002 quest for anomalies in the quantum response of driven mesoscopic systems.

The scope of the 2003-2006 publications was to place quantum pumping in open systems and quantum stirring in closed systems under the umbrella of linear response theory. Later works (2008, 2013) have illuminated the physical picture using a heuristic "splitting ratio" approach, and provided results for the counting statistics.

The main themes of the 1997-2004 studies were related to models of quantum dissipation, addressing the effect of noisy disorder, the induced dephasing, and the destruction of localization. This was a natural extension my PhD thesis (1987-1993) regarding the quantum kicked rotor in the presence of noise and dissipation.

Click any of the images to read more, or view all as one document.

Non-Equilbrium
steady state

Stochastic Spreading:
the Zeno effect

Superfluidity in
atomtronic circuits

Atomtronics
(PhysRev highlight)

The Bososnic Josephson Junction

Quantum thermalization and localization

Semi-linear rate
of energy absorption

Multiple path transport

Quantum Stirring

Moving walls

Driven quantum systems

Quantum Irreversibility

Diffractive spreading



Anomalous Decay
and irreversibility

Parametric evolution
of eigenstates



Information Entropy
of quantum states

Quantum Dissipation
(Overview)

Quantum Dissipation
(Wikipedia)



Dephasing SP formula
(Wikipedia)

Quantum-Classical
semiclassical duality

Thermal imagers
and FPAs


Old versions:
  • View selected topics 1987-2011 as one HTML file
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  • Non-equilibrium steady state of "sparse" systems (2011) [HTML]
  • Energy absorption by "glassy" systems (2011) [HTML]
  • The mesoscopic conductance of closed rings (2006-2008) [HTML]
  • Semi linear response theory (2005-2006) [HTML]
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  • References: Quantum pumping and stirring [HTML]
  • Report: Quantum stirring and counting statistics (2008) [HTML]
  • Counting statistics in closed and multiple path geometries (2007-2008) [HTML]
  • Quantum stirring of particles in closed devices (2005-2008) [HTML]
  • Operating a quantum pump in a closed circuit (2002-2006) [HTML]
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  • Non-perturbative response of driven mesoscopic systems (1998-2002) [HTML]
  • Report: The quest for quantum anomalies in the theory of response (2010) [HTML]
  • Rate of energy absorption for a driven chaotic cavity (2000) [HTML]
  • Report: Energy Absorption by driven mesoscopic Systems [arXiv] (2000)
  • Driven systems (1996-2000) [HTML]
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  • Dynamics of condensed particles in a few site system (2011) [HTML]
  • Wavepacket dynamics and quantum reversibility (1999-2005) [HTML]
  • Diffractive energy spreading and its semiclassical limit (2006) [HTML]
  • Parametric evolution of wavefunctions (2000-2006) [HTML]
  • Report: Detailed versus restricted quantum-classical correspondence (2006) [HTML]
  • Report: Regimes in the theory of wavepacket dynamics (2000) [HTML]
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  • Quantum dissipation in extended environment (2009) [Wiki]
  • The dephasing rate SP formula (2009) [Wiki]
  • The dephasing rate formula (1997-1999, 2007-2008) [HTML]
  • Report: Brownian Motion and Dephasing due to Dynamical Disorder (2000) [arXiv]
  • Quantum dissipation due to the interaction with chaos (2001-2004) [HTML]
  • Quantal Brownian Motion - Dephasing and Dissipation (1998-1999) [HTML]
  • The kicked rotator - localization, noise, dissipation (1987-1993) [Wiki]
  • Report: The effect of noise and dissipation on quantum chaos (1987-1993) [HTML]
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  • The semiclassical quantal-classical duality (1997-1998) [HTML]
  • The information entropy of quantum mechanical states (2004) [HTML]
  • Microelectronics and infrared physics (1992-1996) [HTML]