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Quantum ergodicity

Known as: Quantum unique ergodicity 
In quantum chaos, a branch of mathematical physics, quantum ergodicity is a property of the quantization of classical mechanical systems that are… 
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Related topics

Related topics

8 relations
Chaos theoryEigenstate thermalization hypothesisErgodic hypothesisQuantization (physics)

Broader (2)

Ergodic theoryQuantum mechanics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Uniform ergodicities and perturbation bounds of Markov chains on ordered Banach spaces
In this paper, we consider uniformly mean ergodic and uniformly asymptotical stable Markov operators on ordered Banach spaces. In… 
2016
2016
Arithmetic Quantum Unique Ergodicity
Let \(S =\varGamma \setminus \mathcal{H}\) be a compact hyperbolic surface (or more generally, of finite area). In this last… 
2016
2016
Quantum Ergodicity and Lp Norms of Restrictions of Eigenfunctions
We prove an analogue of Sogge’s local Lp estimates for Lp norms of restrictions of eigenfunctions to submanifolds, and use it to… 
2014
2014
Target Coverage Research Based on Improved Binary Differential Algorithm
. The TH-HESN (three-dimensional heterogeneous sensor networks) target coverage measures have been studied in the recent years… 
2012
2012
Record statistics in random vectors and quantum chaos
The record statistics of the quantum standard map is shown to capture the classical transition to chaos. It is shown that in the… 
2012
2012
Classical and quantum ergodicity on orbifolds
We extend classical results on quantum ergodicity due to Shnirelman, Colin de Verdière, and Zelditch to orbifolds, proving that… 
2002
2002
Propagating modes in a periodic wave guide in the semi-classical limit
It is well known that the number of propagating modes in a uniform wave guide is the transverse section divided by the wavelength… 
Review
2001
Review
2001
On Quantum Unique Ergodicity for Linear Maps of the Torus
The problem of “quantum ergodicity” addresses the limiting distribution of eigenfunctions of classically chaotic systems. I… 
1997
1997
Emergence of Quantum Ergodicity in Rough Billiards
By analytical mapping of the eigenvalue problem in rough billiards on to a band random matrix model a new regime of Wigner… 
1986
1986
Uniform ergodic theorems for locally integrable semigroups and pseudoresolvents
We study uniform ergodicity (at oo) of a locally integrable operator semigroup T(.) of type wo under a suitable condition which… 
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