Eigenstate randomization hypothesis: Why does the long-time average equal the microcanonical average?
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 …
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 …
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
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 …
localization. The system is assumed to be in a pure state, ie, described by a wave-function …
Typical response of quantum pure states
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 …
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 …
molecular motions that play a fundamental role in a wide range of phenomena including …
Beyond quantum microcanonical statistics
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 …
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
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 …
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 …
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 …
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 …
allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the …