Introduction Study of the dynamics

L. Bruneau

Description

Introduction Study of the dynamics Thermodynamics properties Random repeated interaction quantum systems Collaboration with A. Joye and M. Merkli L. Bruneau Univ. Cergy-Pontoise January 2009 L. Bruneau Random repeated interaction quantum systems

• langevin equation


• cergy pontoise


• interaction quantum


• bruneau random repeated


• introduction study


• spectral analysis

Sujets

• Langevin equation
• Cergy Pontoise
• Spectral analysis

Informations

• Publié par: pefav
• Nombre de lectures: 17
• Langue: English
• Poids de l'ouvrage: 1 Mo

Extrait

Random

Introduction Study of the dynamics Thermodynamics properties

repeated Collaboration

quantum nd M. Merkli

interaction with A. Joye a

L.

Univ.

Bruneau

Cergy-Pontoise

January

L. Bruneau

2009

systems

Random repeated interaction quantum systems

Open Systems

Introduction Study of the dynamics Thermodynamics properties

A “small” (or confined) systemSinteracts with an environmentR. Goal:understand the asymptotic (t→+∞) behaviour of the systemS (asymptotic state, thermodynamical properties).

S

L. Bruneau

R

Random repeated interaction quantum systems

Open Systems

Introduction Study of the dynamics Thermodynamics properties

A “small” (or confined) systemSinteracts with an environmentR. Goal:understand the asymptotic (t→+∞) behaviour of the systemS (asymptotic state, thermodynamical properties).

S

2 approaches: Hamiltonian / Markovian

L. Bruneau

R

Random repeated interaction quantum systems

Open Systems

Introduction Study of the dynamics Thermodynamics properties

A “small” (or confined) systemSinteracts with an environmentR. Goal:understand the asymptotic (t→+∞) behaviour of the systemS (asymptotic state, thermodynamical properties).

S

R

2 approaches: Hamiltonian / Markovian Hamiltonian:full description, spectral analysis, scattering theory.

L. Bruneau

Random repeated interaction quantum systems

Open Systems

Introduction Study of the dynamics Thermodynamics properties

A “small” (or confined) systemSinteracts with an environmentR. Goal:understand the asymptotic (t→+∞) behaviour of the systemS (asymptotic state, thermodynamical properties).

S

R

2 approaches: Hamiltonian / Markovian Hamiltonian:full description, spectral analysis, scattering theory. Markovian:effective description ofS, obtained by weak-coupling type limits or ifSundergoes stochastic forces (Langevin equation).

L. Bruneau

Random repeated interaction quantum systems

Repeated

A

Introduction Study of the dynamics Thermodynamics properties Interaction Quant

“small” syst Quantum

emS: system

governed

by

L. Bruneau

um

some

Systems

hamiltonian

(RIQS)

H S

acting

Random repeated interaction quantum systems

on

H S .

Repeated

Introduction Study of the dynamics Thermodynamics properties Interaction Quantum

Systems

(RIQS)

H S

A “small” systemS: Quantum system governed by some hamiltonianH S acting on A chainCof quantum sub-systemsE k (k= 12   ): C=E 1 +E 2 +   EachE k is governed by some hamiltonianH E k acting onH E k .

L. Bruneau

Random repeated interaction quantum systems

.