# 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

Click any of the images to read more, or view all as one document.
 Quantum random walkin thermal environment
 Quasistatic transfer protocols
 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
 $P(t) \ \ne \ e^{-\Gamma t}$ Anomalous Decayand irreversibility
 Parametric evolutionof eigenstates
 $S \ \ne \ -\sum_r p_r \ln p_r$ Information Entropyof quantum states
 Quantum Dissipation (Overview)
 Quantum Dissipation (Wikipedia)
 $\iint \tilde{S}({q},\omega) \, \tilde{P}(-{q},-\omega)$ Dephasing SP formula(Wikipedia)
 Quantum-Classicalsemiclassical duality
 Thermal imagersand 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]