Topics of current interest

Statistical mechanics and quantum fields on fractals

Statistical mechanics and quantum fields on fractals – imageFractals define a new realm to study basic phenomena in quantum field theory and statistical mechanics.  This results from speci-


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Topology of tilings

Topology of tilings – imageThe notion of tilings recover structures also known as quasicrystals, quasiperiodic and dynamical systems, symbolic dynamics, au­tomatic  sequences  among  others.  On perio-


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Quantum phase transitions – Anomalies

Quantum phase transitions – Anomalies – imageScale invariance is a property of our everyday environment. Its breaking gives rise to less common but beautiful structures like fractals.


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Statistical mechanics of out of equilibrium systems

Statistical mechanics of out of equilibrium systems – imageThe best understood systems in statistical mechanics are those at equilibrium (fixed energy) or in thermal contact with a thermostat.  These  systems  are  well  descri-


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Quantum mesoscopic physics

Quantum mesoscopic physics – imageQuantum coherent effects are usually washed up at a macroscopic scale. De­co­her­ence originates from disorder, temperature, external couplings, etc.  But  carefully  prepa-


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Cooperative effects and superradiance

Cooperative effects and superradiance – imageSpontaneous emission of an atom coupled to quantum vacuum fluctuations is well un­derstood.    When two or more atoms are bro-


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