Ofertes de Feina i Beques Ofertes de Feina
Select Page
Skills Training > Lectures and Tutorials > Theory Lectures
27 d’abril 2021
PLUS+ TRAINING AND DEVELOPMENT PROGRAM: Four Assorted Quantum Pieces

Hora: Des de 10:00h a 12:00h

Lloc: Online (Zoom)

PLUS+ TRAINING AND DEVELOPMENT PROGRAM: Four Assorted Quantum Pieces

DR. KAROL ŻYCZKOWSKI
Jagiellonian University

Talk 2. Quantum chaos for open systems: Universal spectra of random Lindblad operators

The spectrum of generic superoperators, corresponding to random stochastic operations, displays a universal behaviour: it contains the leading eigenvalue λ1= 1, while all other eigenvalues are restricted to the disk of radius R<1. In the case of generic dynamics in continuous time, we introduce an ensemble of random Lindblad operators, demonstrate its spectral features including the lemon-like shape of the spectrum in the complex plane, and explain them with a non-hermitian random matrix model [2]. We show how such spectra are modified due to superdecoherence, which leads to Kolmogorov operators, which generate Markovian evolution in the simplex of classical probability vectors.       

[2] J. Czartowski, D. Goyeneche, M. Grassl and K. Życzkowski, Iso-entangled mutually unbiased  bases, symmetric quantum measurements

Due to recommendations in place to contribute containing the spreading of COVID-19, the Theory Lectures will be carried out remotely via Zoom. In case you want to receive an invitation to attend the online session, you can send an email to Alba.Berenguer@icfo.eu

Hosted by HRE
Skills Training > Lectures and Tutorials > Theory Lectures
27 d’abril 2021
PLUS+ TRAINING AND DEVELOPMENT PROGRAM: Four Assorted Quantum Pieces

Hora: Des de 10:00h a 12:00h

Lloc: Online (Zoom)

PLUS+ TRAINING AND DEVELOPMENT PROGRAM: Four Assorted Quantum Pieces

DR. KAROL ŻYCZKOWSKI
Jagiellonian University

Talk 2. Quantum chaos for open systems: Universal spectra of random Lindblad operators

The spectrum of generic superoperators, corresponding to random stochastic operations, displays a universal behaviour: it contains the leading eigenvalue λ1= 1, while all other eigenvalues are restricted to the disk of radius R<1. In the case of generic dynamics in continuous time, we introduce an ensemble of random Lindblad operators, demonstrate its spectral features including the lemon-like shape of the spectrum in the complex plane, and explain them with a non-hermitian random matrix model [2]. We show how such spectra are modified due to superdecoherence, which leads to Kolmogorov operators, which generate Markovian evolution in the simplex of classical probability vectors.       

[2] J. Czartowski, D. Goyeneche, M. Grassl and K. Życzkowski, Iso-entangled mutually unbiased  bases, symmetric quantum measurements

Due to recommendations in place to contribute containing the spreading of COVID-19, the Theory Lectures will be carried out remotely via Zoom. In case you want to receive an invitation to attend the online session, you can send an email to Alba.Berenguer@icfo.eu

Hosted by HRE

All Skills Training