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From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
Luca D'Alessio, Yariv Kafri, Anatoli Polkovnikov +1
This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the…
Negative mass corrections in a dissipative stochastic environment
Luca D'Alessio, Yariv Kafri, Anatoli Polkovnikov
We study the dynamics of a macroscopic object interacting with a dissipative stochastic environment using an adiabatic perturbation theory. The perturbation theory reproduces known…
Long-time behavior of periodically driven isolated interacting lattice systems
Luca D'Alessio, Marcos Rigol
We study the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches. Using full exact diagonalization of finite chains, we show that these sys…
Emergent Newtonian dynamics and the geometric origin of mass
Luca D'Alessio, Anatoli Polkovnikov
We consider a set of macroscopic (classical) degrees of freedom coupled to an arbitrary many-particle Hamiltonian system, quantum or classical. These degrees of freedom can represe…
Many-body energy localization transition in periodically driven systems
Luca D'Alessio, Anatoli Polkovnikov
According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the e…
Universal energy fluctuations in thermally isolated driven systems
Guy Bunin, Luca D'Alessio, Yariv Kafri +1
When an isolated system is brought in contact with a heat bath its final energy is random and follows the Gibbs distribution -- a cornerstone of statistical physics. The system's e…
A Light impurity in an Equilibrium Gas
L. D'Alessio, P. L. Krapivsky
We investigate the evolution of a light impurity particle in a Lorentz gas where the background atoms are in thermal equilibrium. As in the standard Lorentz gas, we assume that the…