# Seminars & Colloquia Calendar

## Detailed balance for finite-dimensional quantum Markov semigroups

#### Erik Amorim, Rutgers University

Location: ** Hill 423**

Date & time: Wednesday, 09 October 2019 at 11:00AM - 12:20PM

Abstract: A *quantum Markov semigroup* (QMS) is a one-parameter family of linear maps on some operator algebra satisfying certain continuity, positivity and normalization properties. They model the non-unitary quantum evolution of a system coupled with an external environment. The notion of *detailed balance* (DB) with respect to a steady-state has an interpretation of reversibility of the QMS when the system is in that state. But it turns out that there are many inequivalent ways to define DB in a noncommutative setting. I will present current work in progress (joint with Eric Carlen) towards a general classification of the QMS's that satisfy different notions of DB. If time permits I will mention why it is useful to have such a classification, which recently allowed Carlen and Mass to obtain entropy inequalities for a QMS satisfying DB of a certain kind. It is worth noting that the entire scope of this talk is within the space of n by n complex matrices, with linear algebra being the only prerequisite. Everything will be very concrete and elementary!

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

- Show events from all categories

## Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

*Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.*