Eigenstate randomization hypothesis: Why does the long-time average equal the microcanonical average?

TN Ikeda, Y Watanabe, M Ueda - … Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We derive an upper bound on the difference between the long-time average and the
microcanonical ensemble average of observables in isolated quantum systems. We …

Thermalization without chaos in harmonic systems

N Cocciaglia, A Vulpiani, G Gradenigo - Physica A: Statistical Mechanics …, 2022 - Elsevier
Recent numerical results showed that thermalization of Fourier modes is achieved in short
time-scales in the Toda model, despite its integrability and the absence of chaos. Here we …

Signatures of Anderson localization and delocalized random quantum states

GJ Moro, G Dall'Osto, B Fresch - Chemical Physics, 2018 - Elsevier
We consider the notion of equilibration for an isolated quantum system exhibiting Anderson
localization. The system is assumed to be in a pure state, ie, described by a wave-function …

Typical response of quantum pure states

B Fresch, GJ Moro - The European Physical Journal B, 2013 - Springer
The response of a quantum system in a pure state to an external force is investigated by
reconsidering the standard statistical approach to quantum dynamics in the light of the …

Quantum molecular trajectory and its statistical properties

F Avanzini, GJ Moro - The Journal of Physical Chemistry A, 2017 - ACS Publications
Despite the quantum nature of molecules, classical mechanics is often employed to describe
molecular motions that play a fundamental role in a wide range of phenomena including …

Beyond quantum microcanonical statistics

B Fresch, GJ Moro - The Journal of chemical physics, 2011 - pubs.aip.org
Descriptions of molecular systems usually refer to two distinct theoretical frameworks. On the
one hand the quantum pure state, ie, the wavefunction, of an isolated system is determined …

[HTML][HTML] Pilot-Wave Quantum Theory with a Single Bohm's Trajectory

F Avanzini, B Fresch, GJ Moro - Foundations of Physics, 2016 - Springer
The representation of a quantum system as the spatial configuration of its constituents
evolving in time as a trajectory under the action of the wave-function, is the main objective of …

An alternative to the conventional micro-canonical ensemble

BV Fine, F Hantschel - Physica Scripta, 2012 - iopscience.iop.org
The usual approach to the foundations of quantum statistical physics is based on the
conventional micro-canonical ensemble as a starting point for deriving the Boltzmann–Gibbs …

Stability of quantum statistical ensembles with respect to local measurements

W Hahn, BV Fine - Physical Review E, 2016 - APS
We introduce a stability criterion for quantum statistical ensembles describing macroscopic
systems. An ensemble is called “stable” when a small number of local measurements cannot …

Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble

JL Alonso, A Castro, J Clemente-Gallardo, JC Cuchí… - Physical Review E, 2015 - APS
Schrödinger suggested that thermodynamical functions cannot be based on the gratuitous
allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the …