Many-body systems with long-range power-law decaying potentials among their microscopic components are known to fall outside the traditional framework of complex systems. While some peculiarities in their behavior had emerged since the very early days of statistical mechanics, the possibility of engineering such systems in experimental setups based on molecular and optical systems has stimulated an im- pressive theoretical activity in the last decades, unveiling a plethora of new physical phenomena. In particular, depending on the exact form of the couplings, long-range- interacting systems may avoid thermalization, remaining trapped in long-lived metastable phases, or exhibit new equilibrium phases at thermal equilibrium. The study of such novel phases, emerging both in the equilibrium behavior and in the dynamics, is the subject of the present thesis. In particular, in Part I the equilibrium behavior of long-range XY model and long-range Villain model are studied, while in the second part the quantum dynamics of long-range spin chains, both isolated and subjected to periodic driving, is investigated.

Novel phases in long-range many-body systems / Giachetti, Guido. - (2022 Sep 29).

Novel phases in long-range many-body systems

Giachetti, Guido
2022

Abstract

Many-body systems with long-range power-law decaying potentials among their microscopic components are known to fall outside the traditional framework of complex systems. While some peculiarities in their behavior had emerged since the very early days of statistical mechanics, the possibility of engineering such systems in experimental setups based on molecular and optical systems has stimulated an im- pressive theoretical activity in the last decades, unveiling a plethora of new physical phenomena. In particular, depending on the exact form of the couplings, long-range- interacting systems may avoid thermalization, remaining trapped in long-lived metastable phases, or exhibit new equilibrium phases at thermal equilibrium. The study of such novel phases, emerging both in the equilibrium behavior and in the dynamics, is the subject of the present thesis. In particular, in Part I the equilibrium behavior of long-range XY model and long-range Villain model are studied, while in the second part the quantum dynamics of long-range spin chains, both isolated and subjected to periodic driving, is investigated.
Ruffo, Stefano
Trombettoni, Andrea
Giachetti, Guido
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/129690
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